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DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
OBGYN Med Maths problems and solutions using dimensional analysis
STEPS
• Identify what is been measured
• Identify the unit of what is been measured and record it to begin the equation
• Write the equal sign after the unit of measure
• Identify variable from the either the given quantity or unit equivalent with one of its units
similar to the numerator unit of the unit of measure and record it after the equal sign as a
conversion factor in such a way that the conversion factor have similar numerator unit as
the unit of measure
• Add subsequent variables from the given quantity or unit equivalent by such the unwanted
units is canceled and the desire units are left
• Multiple the numerator values and record with the desire unit left
• Multiple the denominator values and record desire unit left
• Divide the two values to get desire value record it with the desire units
• TERMS & TERMINOLOGIES
• GIVEN QUANTITY:
❖ Quantities/variables give in the problem: includes
❖ Doctor’s order
❖ Dosage to be given
❖ On hand
❖ Some unit equivalents
• WANTED QUANTITY: (MEASURE)
❖ What you desire
❖ What you measuring
❖ Answer to the problem
• UNIT EQUIVALENCY:
❖ Value of equivalencies between two different units
❖ Are not usually given in the problem
❖ Need to be memorized
❖ Are use in solution as conversion factors
• CONVERSION FACTORS:
❖ Unit Equivalent expressed in fraction
❖ Help to cancel out unwanted units from the problem
• UNIT PATH:
❖ Series of conversions necessary to achieve the answer to the problem
• UNIT:
❖ A dimension that is given to a number
FLOW RATE: volume of fluid administer per unit time
DRIP RATE: number of drops per unit time
CONCENTRATION: weight of solute in a unit volume of solution
DOSAGE: weight of medication per unit time administered
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
DROP FACTOR: Is the number of drops through the eye of dropper of a given set that is
required to move (infuse) 1ml of the fluid into the drip chamber (i.e. patient). The label on the
tubing box/packet will indicate the dropper capacity of the specific tubing used*. The
calibration of IV tubing in gtt/ml is known as the drop factor. Common macrodrop factors
are 10 gtts/mL, 15gtts/mL, 20gtts/mL and the common microdrop factor are 40gtts/ml,
50gtts/ml and 60gtts/mL. Determine drip capacity by choosing the microdrop chamber or
macrodrip chamber.
If you are infusing UNDER 60 ML/HR., then choose a MICRO OR MINI DRIP SET which
delivers 40-60gtts/ml.
Note: all medicated infusion should be infused using microdrip set to give as accurately as possible
and to minimized overdose. tubing is narrower and so produces smaller drops. It is used for
children and infants (paediatrics), or to infuse sensitive medications where precision in the flow
rate is essential (critical care). Microdrip tubing (sometimes called minidrip) comes in only one
size: 60 gtt/mL. when it is use as the IV infusion set, the Flow rate value is always equal to the drip
rate value.
QUESTIONS & ANSWERS
1. Order: Drug A 20mg for child. Available: Drug A 20mg in 5ml vial. Dilute to 50ml and
administer in 2hr. What is the flow rate in drops per minutes?
▪ Medicated infusion, infusion rates less than 60ml/hr, sensitive medication
that requires precision in their infusion rate (critical care) or paediatric
(infants and children) fluid infusion should always use microdrip IV set with
60drops per ml
▪ Measure is flow rate
▪ Unit of measure drops per minutes drops/min
▪ drops/min = 60drops/ml x 50ml/2hr x 1hr/60min
= 3000drops/120min
= 25drops/min
2. The order is infuse Pitocin 20U in 500ml of D5W at 100microdrops/min. Calculate the
mU/min, ml/hr and mU/hr that the patient will receive.
• Measure is dosage
Unit of measure mU/min
Microdrop means calibration of the IV set is 60drops given for every ml.
30microdrop/min means 30drops/min was given using IV set which gives
60drops for every milliliter
mU/min = 1000mU/1U × 20U/500ml × 1ml/60drops × 100drops/min
= 2000000mU/30000min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 66.67mU/min
• Measure is Flow rate
Unit of measure ml/hr
30micrdrop/min means 30drops/min was given using IV set which gives
60drops for every milliliter
ml/hr = 1ml/60drops × 100drops/min × 60min/hr
= 6000ml/60hr
= 100ml/hr
• Measure is dosage
Unit of measure mg/hr
30micrdrop/min means 30drops/min was given using IV set which gives
60drops for every milliliter
mU/hr = 1000mU/1U × 20U/500ml × 1ml/60drops × 100drops/min ×
60min/hr
= 120000000mU/30000hr
= 4000mU/hr
3. A doctor orders pitocin drip at 45microdrips per minute. The solution contains 20U of Pitocin
in 1000ml of D5W. Calculate the units per minute, milliliter per hour and the unit per hour
the patient is receiving.
• Measure is dosage
Unit of measure is unit per minute ie U/min
Note microdrips means the set calibration is 60drops/ml
U/hr = 20U/1000ml × 1ml/60drops × 45drops/min
= 900U/60000min
= 0.015U/min
• Measure is Flow rate
Unit of measure ml/hr
45micrdrop/min means 45drops/min was given using IV set which gives
60drops for every milliliter
mg/hr = 1ml/60drops × 45drops/min × 60mins/hr
= 2700ml/60hr
= 45ml/hr
• Measure is dosage
Unit of measure is unit per hour ie U/hr
U/hr = 20U/1000ml × ml/60drops × 45drops/min × 60min/hr
= 54000U/60000hr
= 0.9U/hr
4. The order is infuse Dopamine 400mg in 250ml of D5W at 30microdrops/min . Calculate the
mg/min, ml/hr and mg/hr that the patient will receive.
• Measure is dosage
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure mg/min
Microdrop means calibration of the IV set is 60drops given for every
ml. 30microdrop/min means 30drops/min was given using IV set
which gives 60drops for every milliliter
mg/min = 400mg/250ml × ml/60drops × 30drops/min
= 12000mg/15000min
= 0.8mg/min
• Measure is flow rate
Microdrop/min implies that the IV set use gives 60drops for every
milliliter
Unit of measure ml/hr
ml/hr = 1ml/60drops x 30drops/min x 60min/1hr
= 1800ml/60hr
= 30ml/hr
• Measure is dosage
Unit of measure mg/hr
30micrdrop/min means 30drops/min was given using IV set which
gives 60drops for every milliliter
mg/hr = 400mg/250ml × ml/60drops × 30drops/min × 60min/hr
= 720000mg/15000hr
= 48mg/hr
5. To help support blood pressure of a patient in shock, a doctor ordered Dobutamine 250mg
in 250ml of D5W to run at 25ml/hr on a pump. Calculate the mg/min, mg/hr and mcg/min
they the patient is receiving
• Measure is dosage
Unit of measure mg/min
mg/min = 250mg/250ml × 25ml/hr × 1hr/60min
= 6250mg/15000min
= 0.417mg/min
= 0.42mg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 250mg/250ml × 25ml/hr
= 6250mg/250hr
= 25mg/hr
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg × 250mg/250ml × 25ml/hr × 1hr/60min
= 6250000mcg/15000min
= 416.67mcg/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 416.7mcg/min
6. A patient weighing 46kg with testicular cancer has order for Adriamycin 25mcg/kg IV. The
dosage to is to be added to 1litre of 0.9% Normal saline and infuse over 6hrs. Determine first
the dosage you wil prepare. Then calculate the mcg/hr that the patient will receive during
the infusion.
• Measure is weight
Unit of measure mg
mg/ml = 1mg/1000mcg × 25mcg/kg × 46kg/1
= 1150mg/1000
= 1.15mg
• Measure is dosage
Unit of measure mcg/hr
mcg/hr = 25mcg/kg × 46kg/6hr
= 1150mcg/6hr
= 191.67mcg/hr
= 191.7mcg/hr
7. A patient has CHF following an MI and has an order for Nitrol (nitroglycerine) IV 3ml/hr by
the pump. The solution has a dilution of 200mcg/ml of Nitrol. How many mcg/min and
mcg/hr is the patient receiving?
• Measure is dosage
Unit of measure mcg/min
mcg/min = 200mcg/ml × 3ml/hr × 1hr/60min
= 600mcg/60min
= 10mcg/min
• Measure is dosage
Unit of measure mcg/hr
mcg/hr = 200mcg/ml × 3ml/hr
= 600mcg/hr
8. A patient with ventricular irritability has pronestyl at 4mg/min. The solution available
contains 500mg pronestyl in 250ml of D5W. Calculate the ml/hr the pump should deliver.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/500mg × 4mg/min × 60min/hr
= 6000ml/500hr
= 12ml/hr
9. You have an order 250ml for D5W for over 2hrs. The drip factor for the the IV tubing is
15gtt/ml. How many gtt/min will you deliver?
• Measure is drip rate
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure gtt/min
gtt/min = 15gtt/ml × 250ml/2hr × 1hr/60min
= 3750gtt/120min
= 31.25gtt/min there can’t be 0.25gtt hence
= 31gtt/min
10. You have an order for 250ml over one hour. Your IV set have a drip factor of 60gtt/ml. what
is the drop/min?
• Measure is drip rate
Unit of measure drops/min
gtt/min means drops/min
drops/min = 60drops/ml × 250ml/1hrs × 1hr/60min
= 15000drops/60min
= 250drops/min
11. Your post-op cardiac bypass patient has orders to infuse Nipride at 30gtt/minute. The
solution available is 100mg of Nipride in 500ml of D5W. Calculate the mg/min and mg/hr
that the patient is receiving. The set calibration is a Microdrip.
• Measure is dosage
Unit of measure mg/min
Microdrip means calibration of the IV set is 60drops/ml
gtt means drop therefore 60drops/ml implies 60gtt/ml
mg/min = 100mg/500ml × ml/60gtt × 30gtt/min
= 3000mg/30000min
= 0.1mg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 100mg/500ml × ml/60drops × 30drop/min × 60min/hr
= 180000mg/30000hr
= 6mg/hr
12. Nipride is ordered at 2mcg/kg/min. The Nipride solution has 50mg in 500ml D5W. The
patient weighs 140Ibs. How many microdrip/min is been infuse?
• Measure is drip rate
Unit of measure drops/min
Microdrip means the calibration of the IV set use gives 60drops for
every mls
drops/min = 60drops/ml × 500ml/50mg × 1mg/1000mcg ×
2mcg/kg/min × 1kg/2.2Ib × 140Ib/1
= 16800000drops/110000min
= 152.71drops/min
There cannot be 0.7drops
Hence
drops/min = 153drops/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
13. A 70kg adult has orders for a Lidocaine continuous infusion of 25mcg/kg/min. The solution
available is 500mg of Lidocaine in 250ml of D5W. Calculate the mcg/min, mg/hr, ml/hr and
the microdrip/min
• Measure is dosage
Unit of measure mcg/min
mcg/min = 25mcg/kg/min x 70kg/1
= 1750mcg/min
• Measures is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg x 25mcg/kg/min x 70kg/1 × 60min/hr
= 105000mg/1000hr
= 105mg/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/500mg x 1mg/1000mcg x 25mcg/kg/min x
70kg/1 x 60min/hr
= 26250000mcg/500000hr
= 52.5ml/hr
• Measure is drip rate
Unit of measure drops/min
Microdrip/min means the calibration of IV set gives 60drops
for every mls administer
drops/min = 60drops/ml x 250ml/500mg x 1mg/1000mcg x
25mcg/kg/min x 70kg/1
= 26250000drops/500000min
= 52.5drops/min
0.5drops cannot be given hence
drops/min = 53drops/min
14. Infuse Nipride at 25mcg/kg/min. The solution available is 50mg of Nipride in 500ml of D5W.
The patient weighs 62kg. Calculate the mcg/min, mg/hr, ml/hr and the microdrip/min
• Measure is dosage
Unit of measure mcg/min
mcg/min = 25mcg/kg/min x 62kg/1
= 1550mcg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg x 25mcg/kg/min x 62kg/1 x 60min/hr
= 93000mg/1000hr
= 93mg/hr
• Measure is dosage
Unit of measure microdrip/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Microdrip/min means the calibration of the IV set use gives
60drops for every ml administer
drops/min = 60drops/ml x 500ml/50mg x 1mg/1000mcg x
25mcg/kg/min x 62kg/1
= 46500000drops/50000min
= 930drops/min
15. A patient with Hodgkin’s disease weighs 90Ib has an order for Bleomycin 0.25U/kg
to be diluted in 50ml of NS. Infuse this over 30minutes. Calculate the dosage to be
diluted then determine the U/min and microdrip/min the patient will receive
• Measure is dosage
Unit of measure unit
U = 0.25U/kg x 1kg/2.2Ib x 90Ib/1
= 22.5U/2.2
= 10.27U
• Measure is dosage
Unit of measure U/min
U/min = 0.25U/kg/30min x 1kg/2.2Ib x 90Ib/1
= 22.5U/6.6min
= 3.41U/min
• Measure is drip rate
Unit of measure drops/min
Microdrip/min means the calibration of IV set use gives 60drops
for every ml administered
drops/min = 60drops/ml x 50ml/30min
= 3000drops/30min
= 100drops/min
16. A patient has an order of Nipride to reduce his afterload during acute angina attack. The
order reads to add 50mg of Nipride to 500ml D5W and infuse at 2mcg/kg/min on a pump.
The patient weighs 70kg. Calculate the flow rate in ml/hr and microdrip/min.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/50mg x 1mg/1000mcg x 2mcg/kg/min x 70kg/1
x 60min/1hr
= 4200000ml/50000hr
= 85ml/hr
• Measure is drip rate
Microdrip/min means the calibration of IV set use gives
60drops for every milliliter administered
Unit of measure drops/min
drops/min = 60drops/ml x 500ml/50mg x 1mg/1000mcg x
2mcg/kg/min x 70kg/1
= 4200000drops//50000mins
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 85drops/min
17. A patient in CHF has orders for Nitrostat 5mcg/min IV. The solution available has 8mg of
Nitrostat in 250mg of D5W. Calculate the Flow rate in microdrip/min
• Measure is drip rate
Microdrip/min means the calibration of IV set use gives
60drops for every milliliter
Unit of measure drop/min
drops/min = 60drops/ml x 250ml/8mg x 1mg/1000mcg x
5mcg/min
= 75000drops/8000min
= 9.375 drops/min
There cannot 0.375drops
hence
drops/min = 9drops/min
18. Infuse 1gram of Aminophylline in 1000ml D51/2NS at 0.7mg/kg/hr. The patient weighs
169Ibs. Calculate the dosage in mg/hr, ml/hr, microdrip/min and in mg/min. The FDA
recommends that you not exceed 20mg/min when infusing Aminophylline.
• Measure is dosage
Unit of measure mg/hr
mg/hr = 0.7mg/kg/hr x 1kg/2.2Ib x 169Ib/1
= 118.3mg/2.2hr
= 53.77mg/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/1g x 1g/1000mg x 0.7mg/kg/hr x 1kg/2.2Ib x
169Ib/1
= 118300ml/2200hr
= 53.77ml/hr
• Measure is drip rate
Microdrip/min means the calibration of IV set use gives
60drops for every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 1000ml/1g x 1g/1000mg x
0.7mg/kg/hr x 1kg /2.2Ib x 169Ib/1 x 1hr/60min
= 7098000drops/132000min
= 53.77drops/min
There cannot be 0.77drops
Hence.
drops/mins = 54drops/min
• Measure is dosage
Unit of measure mg/min
mg/min = 0.7mg/kg/hr x 1kg/2.2Ib x 169Ib/1 x 1hr/60min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 118.3mg/132min
= 0.896mg/min
19. Nitroglycerin 10mcg/min is ordered to help sustain the cardiac output. The solution strength
available is 25mcg/ml. Calculate the flow rate in microgutta/min for the IVAC pump.
• Measure is drip rate
Microgutta means microdrip as gutta means drop
Microgutta implies the calibration of the IV set use gives
60guttas for every milliliter
Unit of measure gutta/min
gutta/min = 60gutta/ml x ml/25mcg x 10mcg/min
= 600gutta/25min
= 24gutta/min
20. A patient with ventricular ectopic has a stat order for Lidocaine infusion, which will run at
30ml/hr. The solution has 1gram of Lidocaine in 500ml of D5W. Calculate the mg/hr, mg/min
and then the microdrip/min that the patient will receive.
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1000mg/1g x 1g/500ml x 30ml/hr
= 30000mg/500hr
= 60mg/hr
• Measure is dosage
Unit of measure mg/min
mg/min = 1000mg/1g x 1g/500ml x 30ml/hr x 1hr/60min
= 30000mg/30000min
= 1mg/min
• Measure is drip rate
Microdrip implies the calibration of the IV set use gives
60drops for every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 30ml/hr x 1hr/60min
= 1800drops/60min
= 30drops/min
21. 0.5grams of Aminophylline is added to 500ml of D5/1/4NS. The order is to infuse the IV over
6hrs. Calculate the mg/hr, mcg/min, ml/hr and microdrip/min the patient will receive.
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1000mg/1g x 0.5g/6hr
= 500mg/6hr
= 83.3mg/hr
• Measure is dosage
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure mcg/min
mcg/min = 1000mcg/1mg x 1000mg/1g x 0.5g/6hr x
1hr/60min
= 500000mcg/360min
= 1388.89mcg/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/6hrs
= 83.33ml/hr
• Measure is drip rate
Microdrip/min implies the calibration of IV set use
gives 60drops for every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 500ml/6hr x 1hr/60min
= 30000drops/360min
= 83.33drops/min
There cannot 0.33drops
Hence
drops/min = 83drops/min
22. 1g of Aminophylline is added to 500ml of D5W. The order is to infuse the IV over 10hrs.
Calculate the mg/hr, ml/hr, mcg/min and microdrip/min the patient will receive.
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1000mg/1g x 1g/10hr
= 1000mg/10hr
= 100mg/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/10hrs
= 50ml/hr
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg x 1000mg/1g x 1g/10hr x
1hr/60min
= 1000000mcg/600min
= 1666.67mcg/min
• Measure is drip rate
Microdrip/min implies the calibration of IV set use gives
60drops for every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 500ml/10hrs x 1hr/60min
= 30000drops/600min
= 50drops/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
23. A patient undergoing CS has a stat order for Pitocin infusion, which will run for 5hrs Post
delivery. The solution has 20U of Pitocin in 500ml of D5W. Calculate the mU/hr, mU/min,
ml/hr and then the microdrip/min that the patient will receive.
• Measure is dosage
Unit of measure mU/hr
mU/hr = 1000mU/1U x 20U/5hr
= 20000mU/5hr
= 4000mU/hr
• Measure dosage
Unit of measure mU/min
mU/min = 1000mU/1U x 20U/5hr x 1hr/60min
= 20000mU/300min
= 66.67mU/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/5hr
= 100ml/hr
• Measure is drip rate
Microdrip/min implies the calibration of IV set use
gives 60drops for every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 500ml/5hr x 1hr/60min
= 30000drops/300min
= 100drops/min
24. A patient with Diabetic ketoacidosis weighs 100Ibs has an order for Insulin 0.1U/kg/hr.
Mixture of 100U of regular insulin in 100ml NS. determine the U/min, ml/hr U/hr and
microdrops/min the patient wil receive.
• Measure is dosage
Unit of measure U/min
U/min = 0.1U/kg/hr x 1kg/2.2Ib x 100Ib/1 x 1hr/60min
= 10/132min
= 0.076U/min
Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/100U x 1U/kg/hr x 1kg/2.2Ib x 100Ib/1
= 10000ml/220hr
= 45.45ml/hr
• Measure is dosage
Unit of measure U/hr
U/hr = 0.1U/kg/hr x 1kg/2.2Ib x 100Ib/1
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 10U/2.2hr
= 4.45U/hr
• Measure is drip rate
Microdrop/min implies that the IV set use gives 60drops for
every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 100ml/100U x 0.1U/kg/hr x
1kg/2.2Ib x 100Ib/1 x 1hr/60mins
= 60000drops/132min
= 45.45drops/min
One cannot give 0.45drops
Hence
drops/min = 45drops/min
25. Amikacin is ordered for the patient with a very severe infection. Solution is available of
500mg in 250ml of D5W to infuse over 30min using a pump. Calculate the mg/min, ml/hr,
mcg/hr and microdrops/min the patient will receive.
• Measure is dosage
Unit of measure mg/min
mg/min = 500mg/30minutes
= 16.67mg/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/30min x 60min/hr
= 15000ml/30min
= 500ml/hr
• Measure is dosage
Unit of measure mcg/hr
mcg/hr = 1000mcg/1mg x 500mg/30min x 60min/hr
= 30000000mcg/30hr
= 1000000mcg/hr
• Measure is drip rate
Microdrops/min implies that the IV set use gives 60drops for
every milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 250ml/30min
= 15000drops/30min
= 500drops/min
26. Esmolol IV is ordered to control the rate of a patient during surgery. The solution available is
5g in 500ml of D5W. The doctor ordered the infusion to start at 50ml/hr. Calculate the
dosage in mg/hr, microdrops/min, g/min and mg/min.
• Measure is dosage
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure mg/hr
mg/hr = 1000mg/1g x 5g/500ml x 50ml/hr
= 250000mg/500hr
= 500mg/hr
• Measure is drip rate
Microdrip/min implies the IV set use gives 60drops for every
milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 50ml/hr x 1hr/60min
= 3000drops/60hr
= 50drops/min
• Measure is dosage
Unit of measure g/min
g/min = 5g/500ml x 50ml/hr x 1hr/60min
= 250g/30000hr
= 0.0083g/hr
• Measure is dosage
Unit of measure mg/min
mg/min = 1000mg/1g x 5g/500ml x 50ml/hr x 1hr/60min
= 250000mg/30000min
= 8.33mg/min
27. A patient weighing 120Ib has orders for 6mcg/kg/min of Nipride. The solution available has
50mg in 250ml of D5W. Calculate the mcg/min, ml/hr microdrops/min and mg /hr.
• Measure is dosage
Unit of measure mcg/min
mcg/min = 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1
= 720mcg/2.2min
= 327.27mcg/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/50mg x 1mg/1000mcg x 6mcg/kg/min x 1kg/2.2Ib x
120Ib/1 x 60min/1hr
= 10800000ml/110000hr
= 98.18ml/hr
• Measure is drip rate
Microdrops/min implies that the IV set use gives 60drops for every
milliliter
Unit of measure drops/mi
drops/min = 60drops/ml x 250ml/50mg x 1mg/1000mcg x
6mcg/kg/min x 1kg/2.2Ib x 120Ib/1
= 10800000drops/110000min
= 98.18drops/min
One cannot give 0.18drops
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Hence
drops/min = 98drops/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg x 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1 x
60min/1hr
= 43200mg/2200hr
= 19.64mg/hr
28. A continuous infusion of Isuprel is ordered for a patient with Torsade des pointes. The rate is
40ml/hr. The solution has 2mg in 500ml of D5W. Calculate the mg/hr, mcg/hr,
microdrop/min and mcg/min the patient will be receiving.
• Measure is dosage
Unit of measure mg/hr
mg/hr = 2mg/500ml x 40ml/hr
= 80mg/500hr
= 0.16mg/hr
• Measure is dosage
Unit of measure mcg/hr
mcg/hr = 1000mcg/1mg x 2mg/500ml x 40ml/hr
= 80000mcg/500hr
= 160mcg/hr
• Measure is drip rate
Microdrop/min implies that the IV set use gives 60drops for every
milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 40ml/hr x 1hr/60min
= 2400drops/60min
= 40drops/min
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg x 2mg/500ml x 40ml/hr x 1hr/60min
= 80000mcg/30000min
= 2.67mcg/min
29. The order is to infuse dobutamine (Dobutrex) 500mg in 500ml of D5W at 15ml/hr. calculate
the mg/hr, mg/min, microgutta/min and mcg/hr the patient will be receiving
• Measure is dosage
Unit of measure mg/hr
mg/hr = 500mg/500ml x 15ml/hr
= 7500mg/500hr
= 15mg/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is dosage
Unit of measure mg/min
mg/min = 500mg/500ml x 15ml/hr x 1hr/60min
= 7500mg/30000min
= 0.25mg/min
• Measure is drip rate
gutta means drops
Hence microgutta/min means microdrip/min
Microgutta/min implies that the IV set use gives 60guttas for
every milliliter
Unit of measure gutta/min
gutta/min = 60gutta/ml x 15ml/hr x 1hr/60min
= 900gutta/60min
= 15gutta/min
• Measure is dosage
Unit of measure mcg/hr
mcg/hr = 1000mcg/1mg x 500mg/500ml x 15ml/hr
= 7500000mcg/500ml
= 15000mcg/hr
30. For a patient experiencing an acute MI with symptoms of cardiogenic shock, the doctor
ordered an infusion of Isuprel at 3mcg/min. Isuprel 2mg is added to 500ml of D5W. Calculate
the ml/hr, mg/hr and microdrip/min you will set the pump to deliver.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/2mg x 1mg/1000mcg x 3mcg/min x 60min/1hr
= 90000mcg/2000hr
= 45ml/hr
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg x 3mcg/min x 60min/1hr
= 90mg/1000hr
= 0.09mg/hr
• Measure is drip rate
Microdrip/min implies that the IV set use gives 60drops for every
milliliter
Unit of measure drops/min
drops/min = 60drops/ml x 500ml/2mg x 1mg/1000mcg x
3mcg/min
= 90000drops/2000min
= 45drops/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
31. A patient with angina has orders for a continuous IV infusion of Nitrostat. The solution
available has 8mg in 250ml of D5W. Orders are to infuse at 20microdrops/min. Calculate the
ml/hr, mcg/min, mg/hr and mg/min the patient receive.
• Measure is flow rate
Unit of measure ml/hr
Microdrops/min implies that the IV set use gives 60drops for every
milliliter
ml/hr = 1ml/60drops x 20drops/min x 60min/1hr
= 1200ml/60hr
= 20ml/hr
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg x 8mg/250ml x 1ml/60drops x
20drops/min
= 160000mcg/300000min
= 0.53mcg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 8mg/250ml x 1ml/60drops x 20drops/min x 60min/1hr
= 9600mg/15000hr
= 0.64mg/hr
• Measure is dosage
Unit of measure mg/min
mg/min = 8mg/250ml x 1ml/60drops x 20drops/min
= 160/15000min
= 0.011mg/min
32. A mpram solution provides 20mg/ml. The orders are to infuse at 3mg/min. Calculate the
ml/hr, mg/hr, microdrip/min and mcg/min the patient received.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1ml/20mg x 3mg/min x 60min/1hr
= 180ml/20hr
= 9ml/hr
• Measure is dosage
Unit of measure mg/hr
mg/hr = 3mg/min x 60min/hr
= 180mg/hr
• Measure is drip rate
Microdrop/min implies that the IV set use gives 60drops for every
milliliter
Unit of measure drops/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
drops/min = 60drops/ml x 1ml/20mg x 3mg/min
= 180drops/20min
= 9drops/min
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg x 3mg/min
= 3000mcg/min
33. A patient is receiving 416ml of blood over 4hours. What is the required drip rate if the IV set
delivers 20gtt/ml. Determine the flow rate.
• Measure is drip rate
Unit of measure drops/min
gutta (gtt) means drops hence 20gtt/ml means 20drops/ml
gutta/min = 20gtt/ml x 416ml/4hr x 1hr/60min
= 8320drops/240min
= 34.67drops/min
0.67 drops cannot be given
Hence
drops/min = 35drops/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 416ml/4hr
= 104ml/hr
34. The physician has ordered 500ml D5W with 10units IV oxytocin. Begin at 2mU/min and then
increase by 1mU/min every 30min until regular contractions begin. Maximum dose is
30mU/min.
a. What is the IV flow rate for the beginning infusion?
b. What is the IV flow rate for the maximum infusion?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/10U × 1U/1000mU × 2mU/min × 60min/hr
= 600000ml/10000hr
= 6ml/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/10U × 1U/1000mU × 30mU/min × 60min/hr
= 180000ml/10000hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 18ml/hr
35. There is an outbreak of scarcoptic mange at your rabbit farm and your veterinarian
prescribed subcutaneously 400mcg/kg Ivermectin once every fortnight for three
consecutive doses. Ivermectin dosage is 200-400mcg/kg
You have 50 units of rabbits on your farm and average weight of each rabbit is 3kg.
The Ivermectin comes in 1% w/v in 50ml bottle. Each bottle cost €27.84?
How many bottles per dose do you need?
How many bottles of 50ml Ivermectin will be needed to completely treat your
rabbits?
What is the total cost of the treatment?
How many milliliters per unit per dose do you need? how many milliliters of
Ivermectin will you need to treat you whole farm?
How many milligrams per dose do you need on your farm? How many milligrams of
the drug is required to treat the whole farm?
How much money will be spent on the cost of treatment of each dose? How much will
it cost to treat a unit of rabbit?
• Measure is quantity
Unit of measure bottle/dose
Unit of rabbit consist of 10 rabbits
1% w/v Ivermectin means 1g of Ivermectine in b 100ml of solution
bottle/dose = 1bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg
× 400mcg/kg × 3kg/1rabbit × 10rabbit/unit × 50unit/dose
= 600000000bottle/50000000dose
= 1.2bottle/dose
You cannot buy 1.2bottle hence
= 2bottle/dose
• Measure is amount
Unit of measure bottles
Bottles = bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg ×
400mcg/kg × 3kg/1rabbit × 10rabbit/1unit × 50units/dose ×
1dose/week × 3weeks/1
= 1800000000bottles/50000000
= 3.6bottles
You cannot buy 3.6bottles hence
= 4bottles
• Measure is amount
Unit of measure euro
€ = €27.84/bottle × 1bottle/50ml × 100ml/1g × 1g/1000mg ×
1mg/1000mcg × 400mcg/1kg × 3kg/rabbit × 10rabbit/1unit ×
50units/dose × 1dose/1week × 3weeks/1
= €5011200000/50000000
= €100.22
• In reality € = €27.84/bottle × 4bottle/1
= €111.36
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is volume
Unit of measure milliliters/unit/dose
ml/unit/dose = 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg
× 3kg/rabbit × 10rabbit/unit/dose
= 1200000ml/1000000unit/dose
= 1.2ml/unit/dose
• Measure is volume
Unit of measure milliliters
ml = 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/1kg ×
3kg/1rabbit × 10rabbit/1unit × 50units/dose × 1dose/week × 3weeks/1
= 1800000000ml/100000000
= 180ml
• Measure is amount/dose
Unit of measure mg/dose
mg/dose = 1mg/1000mcg × 400mcg /kg × 3kg/rabbit × 10rabbit/unit ×
50units/dose
= 600000mg/ 1000dose
= 600mg/dose
• Measure is amount
Unit of measure milligram
mg = 1mg/1000mcg × 400mcg/1kg × 3kg/1rabbit × 10rabbit/1unit ×
50units/dose × 1dose/1week × 3weeks/1
= 1800000mg/1000
= 1800mg
• Measure is amount
Unit of measure euro/dose
€/dose = €27.84/bottle × 1bottle /50ml × 100ml/1g × 1g/1000mg ×
1mg/1000mcg × 400mcg/kg × 3kg/1rabbit × 10rabbit/unit ×
50units/dose
= €1870400000/50000000dose
= €33.41
• In reality € = €27.84/1bottle × 2bottle/1
= €55.68
• Measure is amount
Unit of measure euro/unit
€/unit = €27.84/1bottle × 1bottle/50ml × 100ml/1g × 1g/1000mg ×
1mg/1000mcg × 400mcg/kg × 3kg/rabbit × 10rabbits/unit
= 33408000/50000000dose
= €0.67
36. Your kitten is very sick and your vet prescribed medicine. You need to give your kitten
550mg of medicine every 8 hours for the next 3 weeks. The medicine is only sold in 225mg
tablets. A bottle of 18tablets cost $10.95 (including tax). How many bottles of medicine
should you buy to save your kitten from the grip of death and how much will it cost you?
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measures is amount
Unit of measure bottle
bottle = 1bottle/18tablet × 1tablet/225mg × 550mg/8hrs × 24hrs/day ×
7day/week × 3week/1
= 277200bottle/32400
= 8.6bottles
You cannot buy 8.6bottles hence
= 9 bottles
• Measure is dollars
Unit of measure is $
$ = $10.95/1bottle × 1bottle/18tablet × 1tablet/225mg × 550mg/8hrs ×
24hrs/day × 7day/week × 3week/1
= $3035340/32400
= $93.68
In reality $ = $10.95/1bottle × 9bottle
= $98.55/1
= $98.55
37. The obstetrician has ordered Pitocin infusion for Augmentation of Labour in 20YO
primigravida. Begin at 15drops/min and increase by 5mU/min every 30mins until regular
contractions begin. Maximum dose is 60drops/min. Pitocin- 1ml vials with 10unit/vial. The
L&D protocol is mix 1 vial per 500ml NS
a. What is the dose in mU/min for the beginning infusion?
b. What is the drip rate of the regular increase using microdrip set?
c. What is the dose in mU/min for the maximum infusion?
• Measure is dosage
Unit of measure mU/min
mU/min = 1000mU/1U × 5U/500ml × 1ml/60drops × 15drops/min
= 75000mU/30000min
= 2.5mU/min
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 5mU/min
= 150000drops/5000min
= 30drops/min
• Measure is dose
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure mU/min
Microdrip gives 60drops for every 1ml
mU/min = 1000mU/1U × 5U/500ml × 1ml/60drops × 60drops/min
= 300000mU/30000min
= 10mU/min
38. A 28YO female (50kg) is admitted with post maturity in hospital. It is decided to induce
Labour. All the contraindications are ruled out. Set an IV infusion drip rate of oxytocin for her
using microdrip set. (Rate of infusion- 4milli unit/min). L&D pre-mixed bag contains 5unit of
Pitocin in 500ml NS
• Measure is drip rate
Unit of measure drops/min
Microdrip gives 60drops for every 1ml
drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 4mU/min
= 120000drops/5000min
= 24drops/min
39. Tridil is infusing at 15 mL/hr on an infusion pump. The drug is mixed 50 mg in 500 mL D5W.
How many mcg/minute is the patient receiving?
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg × 50mg/500ml × 15ml/hr × 1hr/60min
= 750000mcg/30000min
= 25mcg/min
40. The patient's heparin is infusing at 28 mL/hr on an infusion pump. The bag of fluid is mixed
20,000 units of heparin in 500 mL D5W. What hourly dose of heparin is the patient
receiving?
• Measure is dosage
Unit of measure unit/hr
unit/hr = 20000unit/500ml × 28ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 560000unit/500hr
= 1120unit/hr
41. Ordered - 2mU/min
Pitocin - 1ml vials with 10unit/ml
Protocol on L&D - mix 2 vials per 1000ml NS
What does the IV pump need to be set at?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/2vials × 1vial/10unit × 1unit/1000mU × 2mU/min ×
60min/hr
= 120000ml/20000hr
= 6ml/hr
42. One liter NS to infuse over 24 hours using a microdrip (gravity flow). Calculate the flow rate.
• Measure is drip rate
Unit of measure drops/min
Microdrip gives 60drops sb for every 1ml
drops/min = 60drops/ml × 1000ml/1L × 1L/24hrs × 1hr/60min
= 60000drops/1440min
= 41.67drops/min
= 42drops/min
43. Order: Zofran 8 mg p.o.t.i.d.
Available: Zofran in a 100 mL bottle labeled 4 mg/tsp. How many mL will the nurse
administer for each dose?
• Measure is dosage
Unit of measure ml/dose
1teaspoon full gives 5ml
ml/dose = 5ml/1tsp × 1tsp/4mg × 8mg/dose
= 160ml/dose
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
44. Give Ceclor 45 mg/kg/day p.o. in 3 divided doses for a patient who weighs 66 pounds. A 75
mL stock medication is labeled Ceclor 125 mg/mL. How many mL would the nurse
administer per dose?
• Measure is dosage
Unit of measure ml/dose
ml/dose = ml/125mg × 45mg/kg/day × 1kg/2.2Ib × 66Ib/1 × 1day/3doses
= 2970ml/825doses
= 3.6ml/dose
45. Administer Heparin 1,000 units/hr from an l.V. bag mixed 40,000 units in 1 L D5W. How
many mL/hr will deliver the correct amount of heparin?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/1L × 1L/40000unit × 1000unit/hr
= 1000000ml/40000hr
= 25ml/hr
46. Give Tridil 15 mcg/minute. Tridil is mixed 50 mg in 500 mL D5W. What rate on the infusion
pump will deliver the correct dose?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/50mg × 1mg/100mcg × 15mcg/min × 60min/1hr
= 450000ml/50000hr
= 9ml/hr
47. A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2 g in 500 mL
D5W. How many mg/min is the patient receiving?
• Measure is dosages
Unit of measure mg/min
mg/min = 1000mg/1g × 2g/500ml × 30ml/hr × 1hr/60min
= 60000mg/30000min
= 2mg/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
48. Give propofol 10 mcg/kg/minute. The infusion is mixed propofol 250 mg in 250 mL D5W. The
patient weighs 168 pounds. What rate on the infusion pump will deliver the correct dose?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/250mg × 1mg/1000mcg × 10mcg/kg/min × 1kg/2.2Ib × 168Ib
× 60min/hr
= 25200000ml/550000hr
= 45.8ml/hr
49. Give regular insulin by continuous I.V. Infusion at 20unit/hr. The solution is 250ml in NS with
100units of Regular insulin. What rate on the infusion pump will deliver the correct dose?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/100unit × 20unit/hr
= 5000ml/100hr
= 50ml/hr
50. At the change of shift, you notice that 200ml left to count in I.V. bag. The I.V. Is infusing at
80mL/hr. How much longer will the I.V. run? (Express your answer in hours and minutes.)
• Measure is time
Unit of measure hours and minutes
hr = 1hr/80ml × 200ml/1
= 200hr/80
= 2.5hr
Unit of measure minutes
min = 60min/1hr × 0.5hr/1
= 30mins/1
= 30mins
• Duration of time of infusion will be 2hrs 30mins
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
51. Give Biaxin for a child whose BSA is 0.55 m2
. The usual adult dose is 500 mg. Biaxin is
available in an oral suspension. The 100 Ml bottle is labeled 50 mg/mL. How many mL would
the nurse give per dose?
• Measure is volume
Unit of measure ml
Adult body surface area 1.73m2
ml = ml/50mg × 500mg/1.73m2
× 0.55m2
/1
= 275ml/86.5
= 3.18ml
= 3.2ml
52. Give Phenergan for a child whose BSA is 1.2 m2
. The usual adult dose is 25 mg. How many
milligrams would the nurse administer for the dose?
• Measure is dosage
Unit of measure is mg/dose
The average body surface area of an adult is 1.73meters square
mg/dose = 25mg/1.73m2
/dose × 1.2m2
/1
= 30mg/1.73dose
= 17.3mg/dose
53. Keflin 2g in 100ml D5W IVPB over 20minutes. The I.V tubing is 15gtt/ml. Calculate the flow
rate in drops/min?
• Measure is drip rate
Unit of measure drops/min
drops/min = 15drops/ml × 100ml/20min
= 1500drops/20min
= 75drops/min
54. The patient's heparin drip is infusing at 11 mL/hr on an infusion pump. The bag of fluid is
mixed 25,000 units of heparin in 250 mL D5W. What hourly dose of heparin is the patient
receiving?
• Measure is dosage
Unit of measure unit/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
unit/hr = 25000unit/250ml × 11ml/hr
= 275000unit/250hr
= 1100unit/hr
55. Administer a Theophylline drip at 40 mg/hr 1.V. The solution is 250 mL D5W + Theophylline
500 mg. What rate on the infusion pump will deliver the correct dose?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/500mg × 40mg/hr
= 10000ml/500hr
= 20ml/hr
56. Aminophylline is infusing at 30 mL/hr. The drug is mixed 250 mg in 500 mL D5W. How many
mg/hr is the patient receiving?
• Measure is dosage
Unit of measure mg/hr
mg/hr = 250mg/500ml × 30ml/hr
= 7500mg/500hr
= 15mg/hr
57. Give Nitroprusside 5 mcg/kg/minute via continuous infusion for a patient weighing 205 lbs.
Nitroprusside is available in a solution of 200 mg in 250 mL D5W. What rate on the infusion
pump will deliver the correct dose?
• Measures is flow rate
Unit of measure
ml/hr = 250ml/200mg × 1mg/1000mcg × 5mcg/kg/min × 1kg/2.2Ib × 205Ib ×
60min/hr
= 15375000ml/440000hr
= 34.9ml/hr
58. A physician ordered 800mg/kg of medication to be taken in equally divided doses four times
per day for a pediatric patient who weighs 67.5Ib. The medication is available in 3g per
capsule. How many capsules should the patient take per dose? Round to the nearest whole.
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is amount per dose
Unit of measure capsule/dose
capsule/dose = capsule/3g × 1g/1000mg × 800mg/kg/day × 1kg/2.2Ib ×
67.5Ib 1day/4doses
= 54000capsule/26400doses
= 2capsule/dose
59. The provider prescribes amoxicillin (Amoxil) 20mg/kg/day PO to be given in 2 divided doses.
The client weighs 44 lb. The amount available is amoxicillin 250mg/5mL. How many mL
should the nurse administer per dose?
• Measure is dosage
Unit of measure ml/dose
ml/dose = 5ml/250mg × 20mg/kg/day × 1kg/2.2Ib × 44Ib/1 × 1day/2doses
= 4400ml/1100dose
= 4ml/dose
60. The provider prescribes cefixime (Suprax) 8 mg/kg/day PO to be given in 2 divided doses.
The client weighs 22 lb. The amount available is 100 mg/5 mL suspension. How many mL
should the nurse administer per dose?
• Measure is amount per dose
Unit of measure ml/dose
ml/dose = 5ml/100mg × 8mg/kg/day × 1kg/2.2Ib × 22Ib/1 × 1day/2doses
= 880ml/44dose
= 2ml/dose
61. The prescriber writes an order for 1,000mL of 5% D/W with 10units of a drug. Your patient
must receive 30mU of this drug per minute. Calculate the drip rate in drops per minute using
microdrip set
• Measure is drip rate
Unit of measure drops/min
Microdrop means 60drops gives 1ml
drops/min = 60drops/ml × 1000ml/10U × 1U/1000mU × 30mU/min
= 1800000drops/10000min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 180drops/min
62. The medication order reads: 1,000mL 5% D/W with 1,000mg of a drug at 1mg/min Calculate
the drip rate in drops per minute if the drop factor is 15drops/milliliter
• Measure is drip rate
Unit of measure drops/min
drops/min = 15drops/ml × 1000ml/1000mg × 1mg/min
= 15000drops/1000min
= 15drops/min
63. The patient is to receive 20 mEq of KCl (potassium chloride) in 100 mL of IV fluid at the rate
of 10mEq/h. What is the flow rate in microdrips per minute?
• Measure is drip rate
Unit of measure drops/min
Microdrip means infusion set gives 60drops for every ml
drops/min = 60drops/ml × 100ml/20mEq × 10mEq/hr × 1hr/60min
= 60000drops/1200min
= 50drops/min
64. A patient is receiving heparin 1,200units/hour. The directions for the infusion are, add
“25,000 units of heparin in 250 mL of solution.” Determine the flow rate in mL/h.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/25000U × 1200U/hr
= 300000ml/25000hr
= 12ml/hr
65. Doctor orders that a patient in labour with inadequate contractions should be augmented
with Pitocin 5miu/min and increasing the dose by 5miu every 30mins until contractions are
3-5 in 10mins lasting 40-60 seconds and maintain the dose attain to achieve 3-5contractions
in 10mins upto maximum dose of 30mU/min. What will be the flow rate? What will be the
drips rate and the increase drip rate at each 30mins? The L&D protocol is 5unit of Pitocin in
500ml of NS and giving set gives 1ml for every 15drops
• Measures is Flow rate
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure ml/hr
ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/hr
= 150000ml/5000hr
= 30ml/hr
• Measure is drip rate
Unit of measure drops/min
drops/min = 15drops/ml × 500ml/5U × 1U/1000mU × 5mU/min
= 37500drops/5000min
= 7.5drops/min
= 8drops/min
• Measure is increase drip rate
Unit of measure drop/min
drops/min = 15drops/ml × 500ml/5U × 1U/1000mU × 5mU/30min
= 37500drops/150000min
= 0.25drops/min
66. Order: Tagamet (cimetidine) 300mg IVPB q6h in 50mL NS infuse over 30min. The drop factor
is 20gtt/ml. Find the flow rate in gtt/min.
• Measure is drip rate
Unit of measure gtt/min ie drops/min
gtts/min = 20gtt/ml × 50ml/30min
= 1000gtt/30min
= 33.3gtt/min
= 33gtt/min
67. The order is for a continuous infusion of theophylline at a rate of 25mg/h. It is diluted in 5%
dextrose to produce a concentration of 500mg per 500mL. Determine the rate of the
infusion in mL/h.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/500mg × 25mg/hr
= 12500ml/500hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 25ml/hr
68. A 500mL D5W solution with 2g of Pronestyl (procainamide HCl) is infusing at 15mL/h via a
volumetric pump. How many mg/h is the patient receiving?
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1000mg/1g × 2g/500ml × 15ml/hr
= 30000mg/500hr
= 60mg/hr
69. The physician has ordered 500mL D5W with 5units oxytocin intravenously. Begin at
5mU/min and then increase by 5mU/min every 30minutes until active labor is achieved.
Maximum dose is 30mU/min. drop factor 60drops = 1min
• Calculate the IV rate (ml/hr) for the beginning infusion
• Calculate the IV drip rate (drops/min) for the beginning infusion.
• What is the maximum IV flow rate the Pitocin infusion may be set for?
• What is the maximum IV drip rate (drops/min) the Pitocin infusion may be set for?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/hr
= 150000ml/5000hr
= 30ml/hr
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 5mU/min
= 150000drops/5000min
= 30drops/min
• Measure is flow rate
Unit of measure ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
ml/hr = 500ml/5U × 1U/1000mU × 30mU/min × 60min/hr
= 900000ml/5000hr
= 1800ml/hr
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 30mU/min
= 900000drops/5000min
= 180drops/min
70. The physician has ordered 500mL D5W with 2.5units oxytocin intravenously. Begin at
2mU/min and then increase by 2mU/min every 30 minutes until regular contractions occur.
The maximum dose is 20mU/min. The giving sets is 1ml gives 20drops
a. Calculate the IV rate (mL/hr.) for the beginning infusion.
b. Calculate the IV drip rate (drops/min) for the beginning infusion.
c. Calculate the maximum IV flow rate the Pitocin infusion may be set for.
d. Calculate the maximum IV drip rate (drop/min) the Pitocin infusion may be set for.
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/2.5U × 1U/1000mU × 2mU/min × 60min/hr
= 60000ml/2500hr
= 24ml/hr
• Measure is drip rate
Unit of measure is drops/min
drops/min = 20drops/ml × 500ml/2.5U × 1U/1000mU × 2mU/min
= 20000drops/2500min
= 8drops/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/2.5U × 1U/1000mU × 20mU/min × 60min/hr
= 600000ml/2500hr
= 240ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is drip rate
Unit of measure drops/min
drops/min = 20drops/ml × 500ml/2.5U × 1U/1000mU × 20mU/min
= 200000drops/2500min
= 80drops/min
71. Order: Intropin (dopamine) 2mcg/kg/min IVPB, titrate to maintain SBP above 90, increase by
5mcg/kg/min q 10–30minutes. Maximum dose 20mcg/kg/min. Monitor BP and HR q 2–
5minutes during titration. The label on the 500mL medication bag states 800mcg/ml, and
the patient Weighs 175pounds.
a. How many mcg/min of Intropin should the patient receive initially?
b. Calculate the initial pump setting in mL/h.
• Measure is dosage
Unit of measure mcg/min
mcg/min = 2mcg/kg/min × 1kg/2.2Ib × 175lb
= 350mcg/2.2min
= 159.1mcg/min
• Measure is flow rate
Unit of measure is ml/hr
ml/hr = 1ml/800mcg × 2mcg/kg/min × 1kg/2.2lb × 175lb × 60min/1hr
= 21000ml/1760hr
= 11.93ml/hr
72. The doctor orders the post-operative patient should receive 150g of glucose as 30% sorbitol
in 24hrs as the daily energy requirement. The drip rate 30drops/min what is the volume of
sorbitol given to the patient? What is the drop factor of the IV set? What is the dose of
sorbitol given to the patient?
• Measure is volume
Unit of measure ml
Sorbitol is higher concentration of glucose; 30% of sorbitol means 30g of
glucose in 100ml of sorbitol solution
ml = 100ml/30g × 150g
= 15000ml/30
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 500ml
• Measure is drop factor
Unit of measure drops/ml
drops/ml = 30drops/min × 60min/1hr × 24hrs/150g × 30g/100ml
= 1296000drops/15000ml
= 86.4drops/ml
= 86drops/ml
• Measure is dosage
Unit of measure mg/min
mg/min = 1000mg/1g × 150g/24hrs × 1hr/60min
= 150000mg/1440min
= 104.17mg/min
= 104mg/min
73. Gynaecologist performing hysteroscopic metroplasty uses iso osmolar distending medium
containing mannitol 5% and glycine 2.2%. If the flow rate is 90ml/min, what is the dose of
mannitol? How many grams of glycine had been infused after 1hr of the operation?
a. If the doctor increases the dose of mannitol to 8g/min. What is the flow rate of
mannitol? What is the dose of glycine infusing?
b. If the flow rate was adjusted such that the drip rate is 800drops/min, what will be the
flow rate if the drop factor of the IV set is 15drops/ml. what will be the dose of
mannitol? How many grams of glycine had been infused after 2hrs?
c. If the given set was change and drip rate was adjusted to 600drops/min and the dose of
glycine is 11g/min. what is the drop factor of the of the new IV set? What is the flow rate
of glycine? How long will it take to infuse 40g of glycine? How much volume of the fluid
will be infused in order to give 80g of mannitol? How many grams of mannitol are there
be in 800ml of the iso osmolar solution? How many grams of glycine are there in 300ml
of the solution?
• Measure is dosage
Unit of measure mg/min
5% of mannitol solution means there are 5g of mannitol for every 100ml of
mannitol solution
mg/min = 1000mg/1g × 5g/100ml × 90ml/min
= 450000mg/100min
= 4500mg/min
• Measure is weight
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure grams
2.2% of glycine solution means 2.2g of glycine for every 100ml of glycine
solution
g = 2.2g/100ml × 90ml/min × 60min/1hr × 1hr/1
= 11880g/100
= 118.8g
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/5g × 8g/min × 60min/hr
= 6000ml/5hr
= 1200ml/hr
• Measure is dosage
Unit of measure g/min
g/min = 2.2g/100ml × 1200ml/hr × 1hr/60min
= 2640g/6000min
= 0.44g/min
• Measure is flow rate
Unit of measure is ml/hr
ml/hr = ml/15drops × 800drops/min × 60min/1hr
= 48000ml/15hr
= 3200ml/hr
• Measure is dosage
Unit of measure mg/min
mg/min = 1000mg/1g × 5g/100ml × 1ml/15drops × 800drops/min
= 4000000mg/1500min
= 2666.67mg/min
= 2666.7mg/min
• Measure is weight
Unit of measure grams
g = 2.2g/100ml × 1ml/15drops × 800drops/min × 60min/1hr × 2hr/1
= 211200g/1500
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 140.8g
• Measure is drop factor
Unit of measure drops/ml
drops/ml = 600drops/min × min/11g × 2.2g/100ml
= 1320drops/1100ml
= 1.2drops/ml
= 1drop/ml
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/2.2g × 11g/min × 60min/hr
= 66000ml/2.2hr
= 30000ml/hr
• Measure is time
Unit of measure minutes
hr = 1hr/60min × min/11g × 40g
= 40hr/660
= 0.06hr
• Measure is volume
Unit of measure ml
ml = 100ml/5g × 80g
= 8000ml/5
= 1600ml
• Measure is weight
Unit of measure grams
g = 5g/100ml × 800ml
= 4000g/100
= 40g
• Measure is weight
Unit of measure grams
g = 2.2g/100ml × 300ml
= 660g/100
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 6.6ggrams of glycine are there in 300ml of the solution?
74. Gynaecologist performing hysteroscopy uses 1.5% Glycine as distending medium. If the flow
rate is 80ml/min, how many grams of glycine will the infusion into the uterus if the
operation lasted for 3hrs? If the flow rate is change to 100ml/min what is the dose in
mg/min of glycine infusion? If the drop factor of the IV set is 10drops/ml what is the new
drip rate? The assistant changes the giving set to give 10drops/sec in order to be able to give
150mg/min. what is the new flow rate in ml/min. what is the drop factor of the new IV set?
• Measure is weight
Unit of measure grams
1.5% glycine solution means 1.5g of glycine in 100ml of solution.
g = 1.5g/100ml × 80ml/min × 60min/hr × 3hr/1
= 21600g/100
= 216g
• Measure is dosage
Unit of measure mg/min
mg/min = 1000mg/1g × 1.5g/100ml × 100ml/min
= 150000mg/100min
= 1500mg/min
• Measure is drip rate
Unit of measure drops/min
drops/min = 10drop/ml × 100ml/min
= 1000drops/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/1.5g × 1g/1000mg × 150mg/min × 60min/hr
= 900000ml/1500hr
= 600ml/hr
• Measure is drop factor
Unit of measure drop/ml
drops/ml = 10drops/sec × 60sec/min × min/150mg × 1000mg/1g ×
1.5g/100ml
= 900000drops/15000ml
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 60drops/ml
75. The nurse notes the patient’s IV pump is set at 10ml/hr. The IV bag holds 30 units of Pitocin
mixed in 500ml of Lactated Ringers. How many mu/min is the client receiving? What is the
drip rate using the standard mircodrip? How long will it to transfuse the whole Pitocin bag?
• Measure is dose
Unit of measure mU/min
mU/min = 1000mU/1U × 30U/500ml × 10ml/hr × 1hr/60mins
= 300000mU/30000min
= 10mU/min
• Measure is drip rate
Unit of measure drops/ml
Microdrip is 1ml = 60drops
drops/min = 60drops/ml × 10ml/hr × 1hr/60min
= 600drops/60min
= 10drops/min
• Measure is time
Unit of measure hours/bag
hr/bag = 1hr/10ml × 500ml/1bag
= 500hr/10bag
= 50hr/bag
76. Begin a Pitocin infusion at 5 mu/min via IV pump for labor induction. On hand is Pitocin
40units in 1000ml Lactated Ringers. How many ml/hr will the IV run? How long does it take
to infuse the whole Pitocin? What will be the drip rate if the giving set use have a drop factor
of 60drops=1ml
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/40U × 1U/1000mU × 5mU/min × 60min/hr
= 300000ml/40000hr
= 7.5ml/hr
• Measure is time
Unit of measure is hours
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
hr = 1hr/60min × min/5mU × 1000mU/1U × 40U
= 40000hr/300
= 133.33hr
• Measure is time
Unit of measure minutes
min = 60min/hr × 0.33hr
= 19.8min
• Measure is time
Unit of measure second
sec = 60sec/min × 0.9min
= 54sec
• Total duration of bag is 133hr 19min 54sec
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/ml × 1000ml/40U × 1U/1000mU × 5mU/min
= 300000drops/40000min
= 7.5drops/min in
= 8drops/min
77. Magnesium sulfate 30 grams is mixed in 500 ml Lactated Ringers. Order: infuse a
maintenance dose of magnesium sulfate @ 4 grams/hour. How many ml/hr will the IV run?
How long will it take to infuse the whole bag? If the standard given set is used what will be
the drip rate in drops/min?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/30g × 4g/hr
= 2000ml/30hr
= 66.67ml/hr
• Measure is time
Unit of measure hours/bag
hr/bag = hr/4g × 30g/bag
= 30hr/4bag
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 6.5hr/bag
• Measure is time
Unit of measure minutes
min = 60min/hr × 0.5hr
= 60min/0.5
= 30min
• Total time/bag is 6hrs 30min
• Measure is drip rate
Unit of measure drops/min
Standard giving set is 1ml = 20drops
drops/min = 20drops/ml × 500ml/50g × 4g/hr × 1hr/60mins
= 40000drops/3000min
= 13.3drops/min
78. Your client is ordered 1 mg/hr morphine through the volumetric pump. You have made up
an intravenous bag containing 50 mg morphine in 500 mL normal saline. How many mL/hr
will you dial up on the volumetric pump?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/50mg × 1mg/hr
= 500ml/50hr
= 10ml/hr
79. You are required to give 6 mg morphine. In your stock ampoule there is 15 mg per 1mL. How
much of the ampoule in ml will you need?
• Measure is volume
Unit of measure ml
ml = 1ml/15mg × 6mg
= 6ml/15
= 0.4ml
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
80. When you look at your infusions at the commencement of the shift you have 50 mg glyceryl
trinitrate (GTN) diluted in 100 mL 5% dextrose solution running at 4 mL/hr via a volumetric
pump. Calculate the dose in µg/min.
• Measure is dose
Unit of measure is mcg/ml
mcg/min = 1000mcg/1mg × 50mg/100ml × 4ml/hr × 1hr/60min
= 200000mcg/6000min
= 33.3mcg/min
81. A 1 litre infusion of NaCl 0.9% is being given over 16 hours using a standard giving set. If the
rate at which the infusion is run is 21 drops per minute, over what time will the infusion
actually run? (assume 20 drops per ml)
• Measure is time
Unit of measure hours
hr = 1hr/60min × min/20drops × 20drops/ml × 1000ml/1L × 1L/1
= 20000hr/1200
= 16.67hr
Measure is time
Unit of measure is minutes
min = 60min/1hr × 0.67hr/1
= 40.2min
Measure is time
Unit of measure second
sec = 60sec/min × 0.2min/1
= 12sec
• Total duration is 16hrs 40mins 12sec
82. Obstetrician order 500mg methldopa every 6hour for patent with high blood in pregnancy.
The drug is available as 250mg/tablet. How many doses per day did the patient received?
How many mg/day will the patient take? How many tablets per dose will the patient take?
How many tablets/day will the patient take?
• Measure is number
Unit of measure dose/day
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
dose/day =1dose/6hrs × 24hrs/day
= 24dose/6days
= 4doses/day
• Measure is dosage
Unit of measure is mg/day
mg/day = 500mg/6hrs × 24hrs/day
= 12000mg/6days
= 2000mg/day
• Measure is number
Unit of measure tablet/dose
tablet/dose = tablet/250mg × 500mg/dose
= 500tablets/250dose
= 2tablets/dose
• measure is number
Unit of measure tablets/day
tablets/day = tablet/250mg × 500mg/6hrs × 24hrs/day
= 12000tablets/1500day
= 8tablets/day
83. A child weighs 22kg and is ordered 25mg/kg/day every 8 hours, stocked as 0.05g/10ml. Find
the mg/kg/per dose, the equivalent ml and the total dose over 24hrs to be given.
• Measure is dose
Unit of measure mg/kg/dose
mg/kg/dose = 25mg/kg/day × 1day/24hrs × 8hr/dose
= 200mg/kg/24doses
= 6.3mg/kg/dose
• Measure is dose
Unit of measure ml/kg/dose
ml/kg/dose = 10ml/0.05g × 1g/1000mg × 25mg/kg/day × 1day/24hrs ×
8hr/dose
= 2000ml/kg/1200dose
= 1.67ml/kg/dose
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is dose
Unit of measure mg/24hrs
mg/24hrs = 25mg/kg/day × 22kg/1 × 1day/24hrs
= 550mg/24hrs
84. A 70kg patient requires Dobutamine at a dose of 10mcg/kg/min and Dopamine
2.5mcg/kg/min.
a. Calculate the dose of each drug in (i) mg/min (ii) mg/hr
b. Calculate the dose in mls per hour if the infusions are prepared as below:
Dobutamine 250mg in 50mls dextrose 5%
Dopamine 200mg in 50mls dextrose 5%
The patient's urine output improves and his dose of Dobutamine is reduced to 8mcg/kg/min.
c. Calculate his new dose in mls/hr.
• Measure is dosage
Unit of measure mg/min
Dobutamine
mg/min = 1mg/1000mcg × 10mcg/kg/min × 70kg
= 700mcg/1000min
= 0.7mg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg × 10mcg/kg/min × 70kg × 60min/hr
= 42000mg/1000hr
= 42mg/hr
• Dopamine
• Measure is dosage
Unit of measure is mg/min
mg/min = 1mg/1000mcg × 2.5mcg/kg/min × 70kg
= 175mg/1000min
= 0.175mg/min
• Measure is dosage
Unit of measure mg/hr
mg/hr = 1mg/1000mcg × 2.5mcg/kg/min × 70kg × 60min/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 10500mg/1000hr
= 10.5mg/hr
• Dobutamine
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 50ml/250mg × 1mg/1000mcg × 10mcg/kg/min 70kg × 60min/hr
= 2100000ml/250000hr
= 8.4ml/hr
= 8ml/hr
• Dopamine
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 50ml/200mg × 1mg/1000mcg × 2.5mcg/kg/min × 70kg × 60min/1hr
= 525000ml/200000hr
= 2.625ml/hr
= 3ml/hr
• Dopamine
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 50ml/250mg × 1mg/1000mcg × 8mcg/kg/min × 70kg × 60min/hr
= 1.680000ml/250000hr
= 6.72ml/hr
= 7ml/hr
85. A patient is being given Chloramphenicol eye drops 0.5% for an eye infection.
a. How much drug is contained in 5ml?
b. How much drug is contained in 1 drop if each 1ml = 20 drops
• Measure is volume
Unit of measure mg
0.5% chloramphenicol means 0.5g in 100ml
mg = 1000mg/1g × 0.5g/100ml × 5ml
= 2500mg/100
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 25mg
• Measure is dosage
Unit of measure mg/drop
0.5% chloramphenicol means 0.5g in 100ml
mg/drop = 1000mg/1g × 0.5g/100ml × 1ml/20drop
= 500mg/2000drops
= 0.25mg/drop
86. What quantity of Adrenaline in mg is there in a 20ml vial of 1in 200,000 Adrenaline
• Measure is amount
Unit of measure is mg/vial
1 in 200000 adrenaline means 1g in 200000ml
mg/vial = 1000mg/1g × 1g/200000ml × 20ml/vial
= 20000mg/200000vial
= 0.1mg/vial
87. Drug J is available as 125mg and 50mg capsules. Mr N weighs 82kg and has been prescribed
12mg per kg daily in 2-3 divided doses. How would you label the bottles of capsules
• Measure is dose
Unit of measure mg/dose
mg/dose = 12mg/kg/day × 82kg/1 × 1day/3doses
= 984mg/3dose
= 328mg/dose
• Two tablets of 125mg (250mg) and one and half tablet of 50mg (75mg)
altogether 328mg dose
• measure is dose
Unit of measure mg/dose
mg/dose = 12mg/kg/day × 82kg × 1day/2doses
= 984mg/2dose
= 492mg/dose
• Three tablets of 125mg (375mg) and two and half tablet of 50mg (125mg)
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
88. The reading on a syringe driver administering drug C is 3.5mls/hr. The additive label says
'250mg in 50ml' and the patient's weight is 70kg. What dose of drug C is the patient
receiving in mcg/kg/min?
• Measure is dose
Unit of measure mcg/kg/min
mcg/kg/min = 1000mcg/1mg × 250mg/50ml × 3.5ml/hr × 1hr/60min ×
1/70kg
= 875000mcg/210000kg/min
= 4.17mcg/kg/min
89. A client is ordered 600 mg of Carbamazepine in two separate doses. Available tablets are of
150mg. How many tablets will you give per dose?
• Measure is dose
Unit of measure tablet/dose
tablet/dose = tablet/150mg × 600mg/2doses
= 600tablet/300doses
= 2tablets/dose
90. The dose to be given is 72.5 mg/day in three separate doses in a day. The stock solution
contains 50mg in 10ml. How many ml would you administer per dose and in total in a day?
• Measure is dose
Unit of measure ml/dose/day
ml/dose = 10ml/50mg × 72.5mg/3doses/day
= 725ml/150dose/day
= 4.83ml/dose/day
= 4.8ml/dose/day
91. Doctor order Cefazolin 350 mg IV every 4 hours. The child weighs 31 lbs. The safe dosage
range for this medication is 25-75 mg/kg/day. Is this a safe dose for this patient?
• Measure is dose
Unit of measure is mg/day
mg/day = 350mg/4hrs × 24hrs/days
= 8400mg/4days
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 2100mg/day
Minimum dose
mg/day = 25mg/kg/day × 1kg/2.2Ib × 31Ib
= 775mg/2.2day
= 352.3mg/day
Maximum dose
mg/day = 75mg/kg/day × 1kg/2.2Ib × 31Ib
= 2325mg/2.2Ib
= 1056.8.7mg/day
• Dose 2100mg/day is more than maximum dose 1056.8mg/day hence the
dose is not safe
92. Doctor orders an IV drip of Dopamine for a child that weighs 78 lbs. The safe dosage range
for this medication is 5-20 mcg/kg/min. What is the safe dosage range for this child?*
• Measure is safe dose
Unit of measure mcg/min
Minimum dose
mcg/min = 5mcg/kg/min × 1kg/2.2Ib × 78Ib
= 390mcg/2.2min
= 177.3mcg/min
maximum dose
mcg/kg/min = 20mcg/kg/min × 1kg/2.2Ib × 78Ib
= 1560mcg/2.2min
= 709.1mcg/min
• Therefore Safe dose is 177.3 -709.1mcg/min
93. During cesarean section the Anesthetist administered 0.25mg of fentanyl as part of spinal
anesthesia. A vial of fentanyl contained 1mg/ml. how much volume in ml of fentanyl was
administered by the Anesthetist?
• Measure is volume
Unit of measure is ml
ml = ml/1mg x 0.25mg
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 0.25ml/1
= 0.25ml
94. Anesthesiologist gave 2.5ml of bivupacaine as spinal anesthesia to a women undergoing
caesarean section. The bivupacaine is available as 0.5% of bivupacaine vial. How many
milligrams did the pregnant women received?
• Measure is weight
Unit of measure is mg
Percentage means grams in 100ml of solution
0.5% of bivupacaine means 0.5g buvipacaine per 100ml of solution
mg = 1000mg/1g × 0.5g/100ml × 2.5ml/1
= 1250mg/100
= 12.5mg
95. Obstetrician ordered 4g of MgSO4 in 200ml NS to be given over 30min. The MgSO4 is
available in 50% in 50ml of MgSO4. How much should the midwife regulate infusion pump in
ml/hr? What is the drip rate in drops/min if the drop factor is 20drops/ml? What is the
dosage of MgSO4 in mg/min? What is the concentration of MgSO4 in mg/ml?
• Measure is flow rate
Unit of measure is ml/hr
ml/hr = 200ml/30min × 60min/hr
= 12000ml/30hr
= 4000ml/hr
• Measure is drip rate
Unit of measure is drops/min
drops/min = 20drops/ml × 200ml/30min
= 4000drops/30min
= 133.33drops/min
= 133drops/min
• Measure is dose
Unit of measure mg/min
mg/min = 1000mg/1g × 4g/30min
= 4000mg/30min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 133.33mg/min
= 133.3mg/min
• Measure is concentration
Unit of measure mg/ml
mg/ml = 1000mg/1g × 4g/200ml
= 4000mg/200ml
= 20mg/ml
96. The Obstetrician ordered 20ml of 20% MgSO4. The MgSO4 available in 50ml of 50%. How
much volume in ml should the midwife add to NS to prepare the solution?
• Percentage means amount in grams per 100ml of solution
• 20% MgSO4 means 20grams MgSO4 in 100ml of solution
• 50% means 50grams MgSO4 in 100ml of solution
• Amount of MgSO4 used
• Measure is weight
Unit of measure mg
g =20g/100ml × 20ml/1
= 400mg/100
= 4g
• The volume MgSO4 containing 4g
• Measure is volume
Unit of measure ml
ml = 100ml/50g × 4g/1
= 400ml/50
= 8ml
97. Doctor orders 300 mg of Zmax once a day for a child that weighs 72 lbs. The safe dose range
for this medication is 10-12 mg/kg/day. Is this a safe dose for this patient?
• Min dose
• Measure is dose
Unit of measure mg/day
mg/day = 10mg/kg/day × 1kg/2.2Ib × 72Ib
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 720mg/2.2day
= 327.3mg/day
• Max dose
• Measure is dose
Unit of measure mg/day
mg/day = 12mg/kg/day × 1kg/2.2Ib × 72Ib
= 864mg/2.2Ib
= 392.7mg/day
• Dosage range is 327.3 - 392.7mg/day which is less than 30mg
• The dose of 300mg is not safe
98. Doctor orders Zithromax for a child that weighs 82 lbs. The safe dose range for this
medication is 10-12 mg/kg/day. What is the maximum safe daily dose for this child?
• Measure is dosage
Unit of measure mg/day
mg/day = 12mg/kg/days × 1kg/2.2Ib × 82Ib
= 984mg/2.2day
= 447.3mg/day
99. Obstetrician order Pitocin 5mU/min. The L & D protocol is 5unit of Pitocin in 500ml NS. At
what rate should regulate the infusion pump in ml/hr to give 15drops/min of Pitocin solution
to the patient? What is the drop factor of the giving set in drops/ml?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/1hr
= 150000ml/5000hr
= 30ml/hr
• Measure is drop factor
Unit of measure is drops/ml
drops/ml = 15drops/min × min/5mU × 1000mU/1U × 5U /500ml
= 75000drops/2500ml
= 30drops/ml
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
100. Midwife administer Pitocin solution with infusion pump at 30ml/hr. The L & D
protocol is 10unit in 500ml of D5W. The drip rate is 10drop/min. How much Pitocin was the
patient receiving in mU/min? What is the drop factor in drops/ml?
• Measure is dose
Unit of measure mU/min
mU/min = 1000mU/1U × 10U/500ml × 30ml/hr × 1hr/60mins
= 300000mU/30000min
= 10mU/min
• Measure is drop factor
Unit of measure is drops/min
drops/ml = 10drops/min × 60min/hr × 1hr/30ml
= 600drops/30ml
= 20drops/ml
101. The midwife regulates infusion pump at 30ml/hr. The drip rate is 10drops/min if the
patient is receiving 15mu/min of Pitocin. What is the concentration of the Pitocin solution in
mU/ml? What is the drop factor of the given set in drops/ml?
• Measure is concentration
Unit of measure is mU/ml
mU/ml = 15mU/min × 60min/1hr × 1hr/30ml
= 900mU/30ml
= 30mU/ml
• Measure is drop Factor
Unit of measure is drops/ml
drops/ml = 10drops/min × 60min/1hr × 1hr/30ml
= 600drops/30ml
= 20drops/m
102. The Midwife regulates the Pitocin infusion at 100ml/hr. The drop factor is
10drops/ml. The patient is receiving 10mu/min of Pitocin. What is the drip rate in
drops/min? What is the concentration of the Pitocin solution in mU/ml
• Measure is dose
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure is drops/min
drops/min = 10drops/ml × 100ml/hr × 1hr/60min
= 1000drops/60min
= 16.7drops/min
= 17drops/min
• Measure is concentration
Unit of measure mU/ml
mU/ml = 10mU/min × 60min/hr × 1hr/100ml
= 600mU
= 6mU/ml
103. The midwife regulates the drip at 25drops/min so as to be administer 12.5mU/min if
the drip factor is 20drops/ml what is the concentration of the Pitocin solution in mU/ml?
What is the flow rate in ml/hr?
• Measure is concentration
Unit of measure is mU/ml
mU/ml = 12.5mU/min × 1min/25drops × 20drops/ml
= 250mU/25ml
= 10mU/ml
• Measure is the flow rate
Unit of measure is ml/hr
ml/hr = 1ml/20drops × 25drops/min × 60min/hr
= 1500ml/20hr
= 75ml/hr
104. A midwife regulated an infusion pump at 30ml/hr. The labour ward protocol 10unit
of Pitocin in 500ml of D5W and drop factor is 15drops/ml. How much Pitocin is the patient
receiving in mU/min? What is the drip rate in drops/min?
• Measure is dose
Unit of measure mU/min
mU/min = 1000mU/1U × 10U/500ml × 30ml/hr × 1hr/60min
= 300000mU/30000ml
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 10mU/min
• Measure is drip rate
Unit of measure is drops/min
drops/min = 15drops/ml × 30ml/hr × 1hr/60min
= 450drops/60min
= 7.5drops/min
= 8drops/min
105. In active management of labour the obstetrician ordered Pitocin starting at
5mU/min. L & D protocol 10unit of Pitocin in 500ml NS and drop factor 20drops/ml. At what
rate in drops/min should the nurse regulate the drip? What will be the flow rate in ml/hr?
• Measure is drip rate
Unit of measure is drops/min
drops/min = 20drops/ml × 500ml/10U × 1U/1000mU × 5mU/min
= 50000drops/10000min
= 5drops/min
• Measure is the flow rate
Unit of measure is ml/hr
ml/hr = 500ml/10U × 1U/1000mU × 5mU/min × 60min/hr
= 150000ml/10000hr
= 15ml/hr
106. Upon taking over of her shift duty the nurse discover Pitocin drip is regulated at
40drops/min. The drop factor is 15drops/min and L & D protocol is 20units Pitocin in 1000ml
of D5W. How much Pitocin was the patient receiving in mU/min? What is the flow rate in
ml/hr?
• measure is dose
Unit of measure is mU/min
mU/min = 1000mU/1U × 20U/1000ml × 1ml/15drops × 40drops/min
= 800000mU/15000min
= 50mU/min
• Measure is flow rate
Unit of measure ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
ml/hr = 1ml/15drops × 40drops/min × 60min/hr
= 2400ml/15hr
= 160ml/hr
107. Physician ordered for post cesarean section patient was 40unit of Pitocin in 1000ml
of NS to administer 30mU/min. how many drops should the nurse regulate the drip using
the microdrip set?
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/ml × 1000ml/40U × 1U/1000mU × 30mU/min
=1800000drops/40000min
= 180drops/min
108. 40 units oxytocin in 1000ml lactated Ringers is infusing at 80mU/min. How many
ml/hr is the patient receiving?
• The measure is Flow rate
Unit of measure is ml/hr
ml/hr = 1000ml/40U × 1U/1000mu × 80mU/min × 60min/1hr
= 4800000ml/40000min
= 120ml/hr
109. The physician has ordered 500ml D5W with 10units IV oxytocin. Begin at 2mU/min
and then increase by 1mU/min every 30minutes until regular uterine contractions begin.
Maximum dose 30mU/min
a. What is the IV flow rate for the beginning infusion?
b. What is the IV drip rate for the maximum infusion using 20drop/ml giving set?
• Measure is flow rate
Unit of measure is ml/hr
ml/hr = 500ml/10U × 1U/1000mU × 1mU/min × 60min/hr
= 30000ml/10000hr
= 3ml/hr
• Measure is drip rate
Unit of measure is drops/mins
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
drops/min = 20drops/ml × 500ml/10U × 1U/1000mU × 30mU/min
= 300000ml/10000min
= 30ml/min
110. Physician Ordered 2mU/min. Pitocin available with 10units/ml. Protocol on L & D
unit mix 2 vials per 1000ml NS. What should the nurse set the IV pump at?
• 1 vial contains 10unit of oxytocin
• Hence 2 vials will contain 20units
• The measure is flow rate
Unit of measure is ml/hr
ml/hr = 1000ml/20U × 1U/1000mU × 2mU/min × 60min/hr
= 120000ml/20000hr
= 6ml/hr
111. Magnesium Sulphate 40grams in 1000ml lactated Ringers at a rate of 2g/hr. What is
the pump rate?
• The measure is flow rate
Unit of measure is ml/hr
ml/hr = 1000ml/40g × 2g/hr
= 2000ml/40hr
= 50ml/hr
112. Patient received 2ml of Buvipacaine as spinal anesthesia. The vial is 10mls of 0.5%
buvipacaine. How many mg of buvipacaine was administered to the patient?
• Measure is weight
Unit of measure is mg
mg = 1000mg/1g × 0.5g/100ml × 2ml
= 1000mg/100
= 10mg
• Note: % means grams per 100ml
• Therefore 0.5% buvipacaine means 0.5g buvipacaine in 100ml of solution
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
113. A patient has an order for regular insulin IV at a rate of 5 units/h. The concentration
is insulin 100 units/100 mL 0.9% NS. At what rate, in drops per min should the drip set using
the microdrip?
• Measure is drip rate
Unit of measure is drops/min
drops/min = 60drops/ml × 100ml/100unit × 5unit/hr × 1hr/60min
= 30000drops/6000mins
= 5drops/min
114. A child weighs 22 lb. The physician prescribes ampicillin 100 to 200 mg/kg/ 24 h
divided q6 h. Calculate the individual dose for ampicillin.
• Measure is weight
Unit of measure is mg/dose
mg/dose = 200mg/kg/day ×1kg/2.2Ib × 22Ib × 1day/24hrs × 6hrs/dose
= 26400mg/52.8doses
= 500mg/dose
115. The obstetrician ordered to infuse Syntocinon at a rate of 30drops/min using a
standard given set. The Syntocinon is available as 20units in 500ml of NS. How much
Syntocinon is infuse into the patient in milliunit/min? How much is the rate of flow of
solution into the patient in ml/hr? How long will it take for infusion to complete in hours?
show the work to your answer
• Measure is dose
Unit of measure is milliunit/min
milliunit/min = 1000milliunit/1unit × 20unit/500ml × 1ml/20drops ×
30drops/min
= 600000milliunit/10000min
= 60milliunit/min
• Measure is flow rate
Unit of measure is ml/hr
ml/hr = 1ml/20drops × 30drops/min × 60min/hr
= 1800ml/20hr
= 90ml/hr
• Measure is time
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure is hours
hr = 1hr/60min × min/30drops × 20drops/ml × 500ml
= 10000hr/1800
= 5.6hrs
116. Calculate the number of ova that can be fertilize by a single ejaculate.
• Measure is amount
Unit of measure zygote/ejaculate
Zygote/ejaculate = zygote/1ovum × 1ovum/1sperm × 20000000sperm/1ml ×
1.5ml/ejaculate
= 35000000zygote/ejaculate
= 35millionzygote/ejaculate
117. 20units oxytocin in 500ml Lactated Ringers is infusing at 45ml/hr. How many
mU/min is the patient receiving? What would be the drip rate using microdrip?
• Measure is dosage
Unit of measure mU/min
mU/min = 1000mU/1U × 20U/500ml × 45ml/hr × 1hr/60min
= 900000mU/30000min
= 30mU/min
• Measure is drip rate
Unit of measure drops/min
drops/min = 60drops/1ml × 45ml/1hr × 1hr/60min
= 2700drops/60min
= 45drops/min
118. It is time to increase the oxytocin infusion to 5mU/min. If the infusion has 30 units
oxytocin in 500ml Lactated Ringers, what will the pump rate be?
• Measure is flow rate
Unit of measure ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
ml/hr = 500ml/30U × 1U/1000mU × 5mU/min × 60min/hr
= 150000ml/30000hr
= 5ml/hr
119. Immediately after delivery, the provider ordered the nurse to bolus a patient with
10 units of Pitocin over 30 minutes. The pre-mixed infusion is 30 units of oxytocin in 500ml
0.9% NSS. What is the volume to be infused?
• Measure is volume
Unit of measure ml
ml = 500ml/30U × 10U/1
= 5000ml/30
= 166.67ml
120. You are ordered to give misoprostol 25mcg for cervical ripening. The dosage
strength in the tablet is 100mcg. Calculate the correct dosage for this med.
• Measure is amount
Unit of measure tablets
tablet = 1tablet/100mcg × 25mcg/1
= 25tablet/100
= 1tablet/4
121. The nurse is initiating an oxytocin induction as ordered by the provider. The protocol
at her hospital is to start the infusion at 1mU/min, and increase by 2mU/min every
60minutes until adequate labour is achieved. At what rate (ml/hr) will the nurse set the
pump if the pre-mixed bag has 30 units of oxytocin in 500ml of LR?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/30U × 1U/1000mU × 1mU/min × 60min/hr
= 30000ml/30000hr
= 1ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
122. The gynaecologist ordered methotrexate 50mg/m2
for medical treatment of
unruptured ectopic pregnancy if the patient weighs 140Iband her height 5ft 8in. how much
volume in ml of methotrexate will be administered. Methotrexate is available as 250mg in
20mls.
• Measure is volume
Unit of measure ml
• 𝐵𝑆𝐴 = √
ℎ𝑡(𝑐𝑚)×𝑤𝑡 (𝑘𝑔)
3600
• Patient's height = 5ft 6in
in = 12in/1ft × 5ft + 8in
= 68in
Patient's ht (cm) = 2.5cm/1in × 68in
= 170cm
Patient wt (kg) = 1kg/2.2lb × 140lb
= 140kg/2.2
= 63.64kg
• 𝐵𝑆𝐴 = √
170𝑐𝑚 ×63.64𝑘𝑔
3600
= √
10818.8
3600
= √3
= 1.73m2
ml = 20ml/250mg × 50mg/m2
× 1.73m2
/1
= 1730ml/250
= 6.92ml
123. Fertility specialist performs IUI for a couple with unexplained infertility using 1.2ml
of wash semen. If the concentration is 60million sperm per ml. how many spermatozoa
where infuse into the uterus.
• Measure is amount
Unit of measure spermatozoa
Sperm = 80×106sperm/ml × 1.2ml/1
= 96×106sperm
124. 30YO lady undergoing ovarian stimulation is to receive follistim 150U/dose/day.
How many units of follistim will the patient received if the cycle is last 13days. Each cartridge
contains 300U and cost $350. How many cartridges will the patient use? How much money
will the couple spend?
• Measure is amount
Unit of measure units
U = 150U/dose/day × 1dose/1 × 13days/1
= 1950U/1
= 1950U
• Measure is amount
Unit of measure cartridge
Cartridge = 1 cartridge/300U × 150U/dose/day × dose/1 × 13days/1
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 1950cartridge/300
= 6.5cartridges
= 7 cartridge
Number of cartridges will be 7 because one cannot buy half cartridge
• Measure is amount
Unit of measure dollar
$ = $350/300U × 150U/dose/day × dose/1 × 13days
=$682500/300
= $2275
In reality the cost will be
• Measure is amount
Unit of measure is dollar
$ = $350/1cartridge × 7cartridge/1
= $2450
125. Cisplatin is given as adjuvant for treatment of ovarian cancer. Gynaeocologist
ordered 80mg/m2
/day. Patient weighs 95Ib and height 6ft 2in. Cisplatin is available as
100mg in 100ml. how many ml will the nurse withdrawn from the vial? How many mg
should the patient be given?
• Measure is volume
Unit of measure milliliters
• 𝐵𝑆𝐴 = √
ℎ𝑡(𝑐𝑚)×𝑤𝑡 (𝑘𝑔)
3600
• Patient's height = 6ft 2in
in = 12in/1ft × 6ft + 2in
= 74in
Patient's ht (cm) = 2.5cm/1in × 74in
= 185cm
Patient wt (kg) = 1kg/2.2lb × 95lb
= 95kg/2.2
= 43.18kg
• 𝐵𝑆𝐴 = √
185𝑐𝑚 ×43.18𝑘𝑔
3600
= √
7988.3
3600
= √2.21
= 1.47m2
ml = 100ml/100mg × 80mg/m2
× 1.47m2
= 11760ml/100
= 117.6ml
126. Patient presented with diagnosis of persistent mole after evacuation of complete
molar pregnancy 3moths ago. The doctor ordered cyclophosphamide 20mg to given over
6hrs. how many mcg/min will the patient if premix contains 150mg in 100ml. how much
fluid will the patient receive? What would be the drip rate using microdip set to administer
the medication?
• Measure is dosage
Unit of measure mcg/min
mcg/min = 1000mcg/1mg × 20mg/6hrs × 1hr/60min
= 20000mcg/360min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 55.6mcg/min
• Measure is volume
Unit of measure ml
ml = 100ml/150mg × 20mg/1
= 2000ml/150
= 13.33ml
= 13.3ml
• measure is drip rate
unit of measure drops/min
microdrip set implies 60drops are delivered every milliliter given
drops/min = 60drops/ml × 100ml/150mg × 20mg/6hrs × 1hr/60mins
= 120000drops/54000min
= 2.2drops/min
= 2drops/min
127. You have ketamine 500mg in 5mL. You want to prepare a 10mL syringe with
10mg/mL.
• Measure is weight
Unit of measure mg
mg = 10mg/ml × 10ml
= 10mg/10
= 1ml
• You add 9ml of diluent by withdrawing 1ml of ketamine solution into
10ml syringe and withdraw diluent up to 10ml mark
128. Epidural syringe preparation. Available: bupivacaine 0.25% (2.5 mg/mL), fentanyl
50mcg/mL, and sterile diluent. Desired: A 60mL syringe, containing 0.0625% (this is often
called 1/16 %) bupivacaine with fentanyl 5mcg/mL.
• Ketamine
• Measures is weight
Unit of measures mg
mg = 1000mg/1g × 0.0625g/100ml × 60ml/1
= 3750mg/100
= 37.5mg
• Measures is volume
Unit of measures ml
ml = ml/2.5mg × 37.5mg/1
= 37.5ml/2.5
= 15ml
• Fentanyl
Measures is weight
Unit of measures mg
mg = 1mg/1000mcg × 5mcg/ml × 60ml/1
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 300mg/1000
= 0.3mg
• Measures is volume
Unit of measure ml
ml = ml/50mcg × 1000mcg/1mg × 0.3mg/1
= 300ml/50
= 6ml
• 15ml of ketamine is withdrawn into 60ml syringe then 6ml of fentanyl
and finally the diluent upto 60ml mark
129. What is the dose mg/min of lidocaine (1 gm in 250 mL) running at 15 mL/hr?
• Measures is dosage
Unit of measure mg/min
mg/min = 1000mg/1g × 1g/250ml × 15ml/1hr × 1hr/60min
= 15000mg/15000min
= 1mg/min
130. What rate should you set to deliver dopamine 3 mcg/kg/min for a patient who
weighs 70kg? The dopamine concentration is 400mg/250mL.
• Measures is flow rate
Unit of measures ml/hr
ml/hr = 250ml/400mg × 1mg/1000mcg × 3mcg/kg/min × 70kg/1 ×
60min/hr
= 3150000ml/400000hr
= 7.875ml/hr
= 7.9ml/hr
131. If you want to create a remifentanil infusion at the recommended adult dilution of
50 mcg/mL, and it is supplied as a vial containing 1 mg powder, how many mL of diluent
should you add to the vial?
• Measure is amounts
Unit of measures ml
ml = ml/50mcg × 1000mcg/1mg × 1mg/1
= 1000ml/50
= 20ml
Diluent to be added is 20ml
132. Order: Morphine gr 1/10 Available: Morphine 10mg/mL How many mL will the nurse
give?
• Measure is volume
Unit of measure ml
One grain (gr) equals 60mg (64.79891mg)
ml = ml/mg × 60mg/1gr × 1gr/10
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 60ml/100
= 6ml
133. You have ephedrine 50mg in 1mL. You want to prepare a syringe with 10mg/mL.
What size syringe should you use?
• Measure is amount
Unit of measures ml
ml = ml/10mg × 50mg/1
= 50ml/10
= 5ml
Size of syringe is 5ml
134. 32YO been investigated for tubal infertility via laparoscopy. The rate of CO2
insufflation was 1000ml/min. the surgery lasted for 3hrs. how much CO2 was insufflated into
the patient's peritoneal cavity?
• Measure is volume
Unit of measure milliliters
ml = 1000ml/min × 60min/1hr × 3hr/1
= 180000ml/1
= 180000ml
135. A woman is admitted to the labor room with a diagnosis of preterm labor. She states
that she has not seen a physician because this is her third baby and she “knows what to do
while she is pregnant.” Her initial workup indicates a gestational age of 32 weeks, and she
tests positive for Chlamydia and Strep-B. Her vital signs are: T 100° F; P 98; R 18; B/P
140/88mmHg; and the fetal heart rate is 140–150. The orders include the following:
▪ NPO
▪ IV fluids: D5/RL 1,000 mL q8h
▪ Electronic fetal monitoring
▪ Vital signs q4h
▪ Dexamethasone 6 mg IM q12h for 2 doses
▪ Brethine (terbutaline sulfate) 0.25 mg subcutaneous q30 minutes for 2h
▪ Rocephin (ceftriaxone sodium) 250 mg IM stat
▪ Penicillin G 5 million units IVPB stat; then 2.5 million units q4h
Zithromax (azithromycin) 500 mg IVPB stat and daily for 2 days
a. Calculate the rate of flow for the D5/RL in mL/h.
b. The label on the dexamethasone reads 8 mg/mL. How many milliliters will you
administer?
c. The label on the terbutaline reads 1 mg/ml. How many milliliters will you administer?
d. The label on the ceftriaxone states to reconstitute the 1 g vial with 2.1 mL of sterile
water for injection, which results in a strength of 350 mg/mL. How many milliliters will
you administer?
e. The instructions state to reconstitute the penicillin G (use the minimum amount of
diluent), add to 100 mL D5W, and infuse in one hour. The drop factor is 10drops/ml.
What is the rate of flow in gtts/min? The label on Penicillin G reads pfizerpen (penicillin
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
G Potassium) for injection 5million units. Additional information 18.2ml diluent added
gives 250 000units/ml, 8.2ml diluent added gives 500 000units/ml and 3.2ml diluent
added gives 1 000 000units/ml of solution.
f. The instructions for the azithromycin state to reconstitute the 500 mg vial with 4.8 mL
until dissolved, and add to 250 mL of D5W and administer over at least 60 minutes.
What rate will you set the infusion pump if you choose to administer the medication
over 90 minutes? If drop factor is 15drops/ml, what is the drip rate?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/8hr
= 125ml/hr
• Measure is volume
Unit of measure milliliter
ml = 1ml/8mg × 6mg/1
= 0.75ml/1
= 0.75ml
• Measure is volume
Unit of measure milliliter
ml = 1ml/1mg × 0.25mg/1
= 0.25ml/1
= 0.25ml
• Measure is volume
Unit of measure milliliter
ml = 1ml/350mg × 250mg/1
= 250ml/350
= 0.714ml
= 0.7ml
• Measure is drip rate
Unit of measure drop/min
drops/min = 10drops/ml × 100ml/1hr × 1hr/60min
= 1000drops/60min
= 16.67drops/min
=17drops/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/90min × 60min/1hr
= 15000ml/90hr
=166.67ml/hr
• Measure is drip rate
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure drop/min
ml/hr = 15drop/ml × 250ml/90min
= 3750drops/90min
= 41.67drops/min
= 42drops/min
136. The patient continues to have uterine contractions, and a new order has been
written:
Magnesium sulfate 4g IV bolus over 20minutes, then 1g/h.
The label on the vial of magnesium sulphate is 50% w/v and IV bag states magnesium sulfate 40g
in 1,000ml.
a. What is the rate of flow in mL/h for the bolus dose? If the drop factor is 20gtt/mL, determine
the drip rate?
b. What is the rate of flow in mL/h for the maintenance dose? If the drop factor is 60gtt/min,
determine the flow rate in gtt/min?
c. What volume of magnesium sulphate was infused as withdrawn for the bolus and how many
mililitres of magnesium sulphate was place in the IV bag?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/40g × 4g/30min × 60min/1hr
= 240000ml/1200hr
= 200ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 20drops/ml × 1000ml/40g × 4g/30min × 60min/1hr
= 4800000drops/1200min
= 4000drops/min
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/40g × 1g/hr
= 1000ml/40hr
= 25ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 60drops/ml × 1000ml/40g × 1g/hr × 1hr/60min
= 60000drops/2400min
= 25drops/min
• measure is volume
Unit of measure milliliter
ml = 1000ml/40g × 4g/1
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 4000ml/40
= 100ml
• measure is volume
Unit of measure milliliter
50% w/v means 50g of magnesium sulphate in 100ml of solution
ml = 100ml/50g × 4g/1
= 400ml/50
= 8ml
137. The patient continues to have contractions and her membranes rupture. The
following orders are written:
■ Discontinue the magnesium sulfate.
■ Pitocin (oxytocin) 10units/1,000ml RL, start at 0.5mIU/min increases by 1mU/min q20
minutes.
■ Stadol (butorphanol tartrate) 1mg IVP stat.
a. What is the rate of flow in mL/h for the initial dose of Pitocin? The drop factor is
60mcgtt/ml. Calculate the flow rate in gtt/min
b. The Pitocin is infusing at 9mL/h. How many mU/h is the patient receiving? Find the drip
rate if the drop factor is 10gtt/mL?
c. What would be the drip rate after 1hr of initiating Pitocin using drop factor of 15
d. The vial of butorphanol tartrate is labeled 2mg/ml. How many milliliters will you
administer?
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/10unit × 1unit/1000mIU × 0.5mIU/min × 60min/1hr
= 30000ml/10000hr
= 3ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 60drops/ml × 1000ml/10unit × 1unit/1000mIU × 0.5mIU/1min
= 30000drops/10000min
= 3drops/min
• Measure is dosage
Unit of measure mU/hr
mU/hr = 1000mU/1unit × 10unit/1000ml × 9ml/hr
= 90000mU/1000hr
= 90mU/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 10drops/ml × 9ml/1hr × 1hr/60min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 90drops/60min
= 1.5drops/min
= 2drops/min
• Measure is drip rate
Unit of measure drop/min
Starting dose 0.5mU/min
Increment is 1mU every 20min
Hence by 1hr there will be 3 increment and dose will be 3.5mU/min
Unit of measure drop/min
drops/min = 15drops/ml × 1000ml/10unit × 1unit/1000mU × 3.5mU/min
= 52500drops/10000min
= 5.25drops/min
= 5drops/min
• Measure is volume
Unit of measure milliliter
ml = 1ml/2mg × 1mg/1
= 1ml/2
= 0.5ml
138. Postpartum the woman developed postpartum haemorrhage. The following orders
are written
■Massage uterus for contraction q15min, continuous monitoring vitals.
■Pitocin 20unit in 500ml NS, giving at 20miU/min
■Ergometrin 1mg IM stats
■Tablets Misoprostol 800mcg PR stats
■Transfuse 2units of whole blood over 6hours.
a. What is the flow rate of the Pitocin drip? Using IV set of 20drops/ml at what drip rate
would the nurse regular the drip?
b. Label on the Ergometrin ampoule 0.5mg/ml. how many millileters will the nurse
administer?
c. Misoprostol packet label 200mcg/tablets. How many tablets should be inserted PR?
d. A unit of blood has 400ml. if the blood giving set gives 15drops/ml what rate should the
flow rate hence calculate the drip rate be regulated
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 500ml/20unit × 1unit/1000mIU × 20mIU/min × 60min/1hr
= 600000ml/20000hr
= 30ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 20drops/ml × 500ml/20unit × 1unit/1000mIU × 20mIU/1min
= 200000drops/20000min
= 10drops/min
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is volume
Unit of measure milliliter
ml = 1ml/0.5mg × 1mg/1
= 1ml/0.5
= 2ml
• Measure is amount
Unit of measure tablets
tablets = 1tablet/200mcg × 800mcg/1
= 800tablet/200
= 4tablets
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 400ml/1unit × 2unit/6hr
= 800ml/6hr
= 133.33ml/hr
= 133.3ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 15drops/ml × 400ml/1unit × 2unit/6hr × 1hr/60min
= 12000drops/360min
= 33.33drops/min
= 33drops/min
139. 3 days later patient develop fever chill rigors foul smelly vaginal discharge and
uterine tenderness. Diagnosis of puerperal sepsis was made and the following order are
written
■Tablets paracetamol 1g every 6hours
■IV Clindamycin 900mg every 8hours
■IV Gentamycin 1.5mg/kg every 8hours
■IV 500mlof NS over 30minutes then maintenance of 3liters over the next 24hrs
a. Sachet of paracetamol has 250mg/tablet. How many tablets should the patient receive?
b. Label on the clindamycin vial is 150mg/ml. how many milliters should the patient receive
each dose?
c. Gentamycin vial label 20mg/ml. the patient weighs 65kg. How many milligrams is the
patient supposed to receive hence how many milliliter of gentamycin should be given to
the patient for each dose?
d. If the drop factor of the set is 15drops/ml. what is the flow rate for the maintenance.
What should be the drip rate? If the patient weighs 75kg what should be appropriate
maintenance fluid requirement?
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
• Measure is amount
Unit of measure tablets
tablets = 1tablet/250mg × 1000mg/1g × 1g/1
= 1000tablets/250
= 4tablets
• Measure is dosage
Unit of measure milliliters/dose
Ml/dose = 1ml/150mg × 900mg/dose
= 900ml/150dose
= 6ml/dose
• Measure is weight
Unit of measure mg
mg = 1.5mg/1kg × 65kg/1
= 97.5mg
• Measure is volume
Unit of measure milliliter
ml = 1ml/20mg × 1.5mg/1kg × 64kg/1
= 97.5ml/20
= 4.875ml
= 4.9ml
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/1L × 3L/24hrs
= 3000ml/24hr
= 125ml/hr
• Measure is drip rate
Unit of measure drop/min
drops/min = 15drops/ml × 1000ml/1L × 3L/24hr × 1hr/60min
= 45000drops/1440min
= 31.25drops/min
= 31drops/min
140. A HIV + patient is admitted to the hospital for C-section delivery. The orders from
the physician include:
▪ Admit to OB in private room
▪ NPO
▪ Up ad lib
▪ CBC and electrolytes
▪ Type and cross-match for 2units of blood
▪ Admission weight 164lb
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
▪ Lactated Ringers IV at 100ml/hr
▪ Zidovudine 2mg/kg IV over 1 hour on admission to labor and delivery then zidovudine
1mg/kg/hr continuous IV infusion beginning 3 hours prior to C-section
▪ Cefazolin 1g IVPB × 1 dose 1 hour prior to C-section
▪ Metoclopramide (Reglan) 10mg IV push every 6 hours prn for nausea and vomiting
▪ Hydrocodone 5mg and acetaminophen 325mg PO two tablets every 4 hours prn for
moderate to severe pain
▪ Docusate sodium 100mg PO two capsules bid
Identify the orders that require calculations.
Set up and solve each problem using dimensional analysis.
a. Calculate the weight of the patient in kilograms.
b. Calculate how many mL/hr to set the IV pump to infuse zidovudine 2mg/kg over 1 hour.
Supply: Zidovudine 200mg/50ml D5W.
c. Calculate mL/hr to set the IV pump to infuse zidovudine 1mg/kg/hr. Supply: Zidovudine
400mg/100ml D5W.
d. Calculate mL/hr to set the IV pump to infuse cefazolin 1g IV. Supply: Cefazolin (Ancef)
1000mg/100ml D5W to be administered over 30minutes.
e. Calculate how many mL of metoclopramide 10mg will be given IV push over 2 minutes.
Supply: Reglan 5mg/ml.
• Measure is weight
Unit of measure kilogram
kg = 1kg/2.2lb × 164mg/1
= 164kg/2.2
= 74.5kg
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 50ml/200mg × 2mg/kg/1hr × 1kg/2.2lb × 164lb
= 16400ml/440hr
= 37.27ml/hr
= 37.3ml/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/400mg × 1mg/kg/1hr × 1kg/2.2lb × 164lb
= 16400ml/880hr
= 18.64ml/hr
= 18.6ml/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 100ml/1000mg/30min × 1000mg/1g × 1g/1 × 60min/1hr
= 6000000ml/30000hr
= 200ml/hr
• Measure is volume
Unit of measure milliliter
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
ml = ml/5mg × 10mg
= 10ml/5
= 2ml
141. A 14-year-old patient is admitted to the hospital with weight loss and dehydration
secondary to hyperemesis gravidarum. The orders from the physician include:
▪ Bed rest with bathroom privileges
▪ Obtain weight daily
▪ Vital every 4h
▪ Test urine for ketones
▪ Urinalysis, complete blood count, electrolytes, liver enzymes, and bilirubin
▪ NPO for 48hr, then advance diet to clear liquid, full liquid, and as tolerated
▪ IV D5 1–2 NS at 150ml/hr for 8hr, then decrease to 100ml/hr
▪ Observe for signs of metabolic acidosis, jaundice, or hemorrhage
▪ Monitor intake and output
▪ Droperidol (Inapsine) 1mg IV every 4h prn for nausea
▪ Metoclopramide (Reglan) 20mg IV in 50l of D5W to infuse over 15min
▪ Diphenhydramine (Benadryl) 25mg IV every 3h prn for nausea
▪ Dexamethasone (Decadron) 4mg IV every 6h
Identify the orders that require calculations.
Set up and solve each problem using dimensional analysis.
a. Calculate gtt/min using macrotubing (20gtt/mL) to infuse 150ml/hr, then 100mL/hr.
b. Calculate how many mL of droperidol the patient will receive IV.Supply: 2.5mg/mL
c. Calculate mL/hr to set the IV pump to infuse metoclopramide (Reglan) 20mg in 50mL of
D5W to infuse over 15min.
d. Calculate how many mL of diphenhydramine (Benadryl) the patient will receive IV.
Supply: 1mg/mL.
e. Calculate how many mL of dexamethasone (Decadron) the patient will receive IV Supply:
4mg/mL
• Measure is drip rate
Unit of measure drops/min
drops/min = 20drops/ml × 150ml/hr × 1hr/60min
= 3000drops/60min
= 50drops/min
• Measure is drip rate
Unit of measure drops/min
Drops/min = 20drops/ml × 100ml/hr × 1hr/60min
= 2000drops/60min
= 33.33drops/min
= 33drops/min
• Measure is volume
Unit of measure milliliter
ml = ml/2.5mg × 1mg/1
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
= 1ml/2.5
= 0.4ml
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 50ml/15min × 60min/1hr
= 3000ml/15hr
= 200ml/hr
• Measure is volume
Unit of measure milliliter
ml = ml/1mg × 25mg
= 25ml
• Measure is volume
Unit of measure milliliter
ml = ml/4mg × 4mg
= 4ml/4
= 1ml
142. A nulliparous female is admitted to the hospital with pregnancy-induced
hypertension. The orders from the physician include:
▪ Complete bed rest in left lateral position
▪ Insert Foley catheter and check hourly for protein and specific gravity
▪ Daily weight
▪ Methyldopa (Aldomet) 250 mg PO tid
▪ Hydralazine (Apresoline) 5 mg IV every 20 min for blood pressure over 160/100
▪ Complete blood count, liver enzymes, chemistry panel, clotting studies, type and
crossmatch, and urinalysis
▪ Magnesium sulfate 4 g in 250 mL D5LR loading dose to infuse over 30 min
▪ Magnesium sulfate 40 g in 1000 mL LR to infuse at 1 g/hr
▪ Keep calcium gluconate and intubation equipment at the bedside
▪ Nifedipine (Procardia) 10 mg sublingual for blood pressure over 160/100 and repeat in
15 min if needed.
▪ Keep lights dimmed and maintain a quiet environment
▪ Monitor blood pressure, pulse, and respiratory rate, fetal heart rate (FHR) contractions
every 15 to 30 min, and deep tendon reflexes (DTR) hourly
▪ Monitor intake and output, proteinuria, presence of headache, visual disturbances, and
epigastric pain hourly
▪ Restrict hourly fluid intake to 100 to 125mL/hr
Identify the orders that require calculations.
Set up and solve each problem using dimensional analysis.
a. Calculate how many tablets of methyldopa (Aldomet) will be given PO. Supply:
500mg/tablet.
b. Calculate how many mL of hydralazine (Apresoline) will be given IV. Supply: 20mg/mL
c. Calculate mL/hr to set the IV pump to infuse magnesium sulfate 4 g in 250mL D5W
loading dose to infuse over 30min.
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
d. Calculate mL/hr to set the IV pump to infuse magnesium sulfate 40g in 1000mL LR to
infuse at 1g/hr.
e. Calculate how many capsules of nifedipine (Procardia) will be needed to give the
sublingual dose. Supply: 10mg/capsule.
• Measure is amount
Unit of measure tablets
tablets = 1tablets/500mg × 250mg
= 250tablets/500
= 1/2tablets
• Measure is volume
Unit of measure milliliter
ml = ml/20mg × 5mg/1
= 5ml/20
= 0.25ml
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 250ml/30min × 60min/1hr
= 15000ml/30hr
= 500ml/hr
• Measure is flow rate
Unit of measure ml/hr
ml/hr = 1000ml/40g × 1g/hr
= 1000ml/40hr
= 25ml/hr
• Measure is amount
Unit of measure capsule
capsule = 1capsule/10mg × 10mg
= 10capsule/10
= 1capsule
143. D5 1/2 NS is infusing at 28 macrogtt/min. The drop factor is 10gtt/ml. How much
fluid volume will the client receive in 8 hr and what is the flow rate?
• Measure is volume
Unit of measure ml
28Macrogtt/min implies that the IV set use gives 60drops (10, 15 20drops)
for every milliliter infused
ml = ml/10gtt x 28gtt/min x 60min/hr
= 1680ml/10
= 168ml
• Measure is flow rate
Unit of measure ml/hr
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
28macrogtt/min implies that the IV set use gives 60drops (10, 15 20drops)
for every milliliter infused
ml/hr = ml/10gtt x 28gtt/min x 60min/hr
= 1680ml/10
= 168ml/hr
144. Calculate the number of grams of NaCl and/or dextrose in the following solution:
0.5L of D5 1/4NS
• D5 means dextrose 5% D5W
NS means normal saline 0.9% NS
Percentage (%) means percentage implies grams of solute in 100ml of
solution
5% dextrose means 5g of dextrose in 100ml of dextrose solution
Measure is amount of dextrose
Unit of measure is grams g of dextrose
g = 5g/100ml x 1000ml/1L x 0.5L/1
= 2500g/100
= 25g
• 0.9% NS mean 0.9g of NaCl in 100ml of NaCl solution
1/4NS means quarter strength normal saline
Quarter strength normal saline 0.9% is 0.225% NS
Measure is amount of NaCl
Unit of measure is grams g of NaCl
g = 0.225g/100ml x 1000ml/1L x 0.5L/1
= 112.5g100
= 1.125g
145. Calculate the number of grams of NaCl and/or dextrose in the following solution:
250ml of D5 NS
• D5W means dextrose 5% solution
NS means normal saline 0.9% solution
Percentage (%) means percentage which implies grams of solute in 100ml of
solution
Therefore
5% dextrose means 5g of dextrose in 100ml of dextrose solution
0.9% NS means 0.9g of NS in 100ml of NS solution
Measure is amount of D5 in D5NS
Unit of measure grams g of D5
g = 5g/100ml x 250ml/1
= 1250g/100
= 12.5g
• Measure is amount of NaCl in D5NS
DIMENSIONAL ANALYSIS
OBGYN
Dr MUSA MARENA
Unit of measure is grams g of NaCl
g = 0.9g/100ml x 250ml/1
= 225g/100
= 2.25g
146. Calculate the number of grams of NaCl and/or dextrose in the following solution:
500ml of 1/2NS
• Measure is amount of NaCl in 1/2NS
Unit of measure is grams g
Normal saline NS is 0.9% concentration hence half strength normal saline
1/2NS is 0.45%
Percentage % means grams of solute per 100ml of solution
Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution
g = 0.45g/100ml x 500ml/1
= 225g/100
= 2.25g
147. Calculate the number of grams of NaCl and/or dextrose in the following solution:
250ml of D5 NS
• Measure is amount of NaCl in 1/2NS
Unit of measure is grams g
Normal saline NS is 0.9% concentration hence half strength normal saline
1/2NS is 0.45%
Percentage % means grams of solute per 100ml of solution
Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution
g = 0.45g/100ml x 500ml/1
= 225g/100
= 2.25g
148. Calculate the number of grams of NaCl and/or dextrose in the following solution:
500ml of 1/2NS
• Measure is amount of NaCl in 1/2NS
Unit of measure is grams g
Normal saline NS is 0.9% concentration hence half strength normal saline
1/2NS is 0.45%
Percentage % means grams of solute per 100ml of solution
Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution
g = 0.45g/100ml x 500ml/1
= 225g/100
= 2.25g
149. A patient is prescribed Heparin 10,000units s.c. Stock strength available is 4000 units
in 0.2mL. What is the volume in mL that the patient will receive?
• Measure is volume
Unit of measure ml
ml = 0.2ml/4000units x 10000unit/1
= 2000ml/4000
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf
Obgyn Med Maths problems and solutions using dimensional analysis.pdf

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Obgyn Med Maths problems and solutions using dimensional analysis.pdf

  • 1. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA OBGYN Med Maths problems and solutions using dimensional analysis STEPS • Identify what is been measured • Identify the unit of what is been measured and record it to begin the equation • Write the equal sign after the unit of measure • Identify variable from the either the given quantity or unit equivalent with one of its units similar to the numerator unit of the unit of measure and record it after the equal sign as a conversion factor in such a way that the conversion factor have similar numerator unit as the unit of measure • Add subsequent variables from the given quantity or unit equivalent by such the unwanted units is canceled and the desire units are left • Multiple the numerator values and record with the desire unit left • Multiple the denominator values and record desire unit left • Divide the two values to get desire value record it with the desire units • TERMS & TERMINOLOGIES • GIVEN QUANTITY: ❖ Quantities/variables give in the problem: includes ❖ Doctor’s order ❖ Dosage to be given ❖ On hand ❖ Some unit equivalents • WANTED QUANTITY: (MEASURE) ❖ What you desire ❖ What you measuring ❖ Answer to the problem • UNIT EQUIVALENCY: ❖ Value of equivalencies between two different units ❖ Are not usually given in the problem ❖ Need to be memorized ❖ Are use in solution as conversion factors • CONVERSION FACTORS: ❖ Unit Equivalent expressed in fraction ❖ Help to cancel out unwanted units from the problem • UNIT PATH: ❖ Series of conversions necessary to achieve the answer to the problem • UNIT: ❖ A dimension that is given to a number FLOW RATE: volume of fluid administer per unit time DRIP RATE: number of drops per unit time CONCENTRATION: weight of solute in a unit volume of solution DOSAGE: weight of medication per unit time administered
  • 2. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA DROP FACTOR: Is the number of drops through the eye of dropper of a given set that is required to move (infuse) 1ml of the fluid into the drip chamber (i.e. patient). The label on the tubing box/packet will indicate the dropper capacity of the specific tubing used*. The calibration of IV tubing in gtt/ml is known as the drop factor. Common macrodrop factors are 10 gtts/mL, 15gtts/mL, 20gtts/mL and the common microdrop factor are 40gtts/ml, 50gtts/ml and 60gtts/mL. Determine drip capacity by choosing the microdrop chamber or macrodrip chamber. If you are infusing UNDER 60 ML/HR., then choose a MICRO OR MINI DRIP SET which delivers 40-60gtts/ml. Note: all medicated infusion should be infused using microdrip set to give as accurately as possible and to minimized overdose. tubing is narrower and so produces smaller drops. It is used for children and infants (paediatrics), or to infuse sensitive medications where precision in the flow rate is essential (critical care). Microdrip tubing (sometimes called minidrip) comes in only one size: 60 gtt/mL. when it is use as the IV infusion set, the Flow rate value is always equal to the drip rate value. QUESTIONS & ANSWERS 1. Order: Drug A 20mg for child. Available: Drug A 20mg in 5ml vial. Dilute to 50ml and administer in 2hr. What is the flow rate in drops per minutes? ▪ Medicated infusion, infusion rates less than 60ml/hr, sensitive medication that requires precision in their infusion rate (critical care) or paediatric (infants and children) fluid infusion should always use microdrip IV set with 60drops per ml ▪ Measure is flow rate ▪ Unit of measure drops per minutes drops/min ▪ drops/min = 60drops/ml x 50ml/2hr x 1hr/60min = 3000drops/120min = 25drops/min 2. The order is infuse Pitocin 20U in 500ml of D5W at 100microdrops/min. Calculate the mU/min, ml/hr and mU/hr that the patient will receive. • Measure is dosage Unit of measure mU/min Microdrop means calibration of the IV set is 60drops given for every ml. 30microdrop/min means 30drops/min was given using IV set which gives 60drops for every milliliter mU/min = 1000mU/1U × 20U/500ml × 1ml/60drops × 100drops/min = 2000000mU/30000min
  • 3. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 66.67mU/min • Measure is Flow rate Unit of measure ml/hr 30micrdrop/min means 30drops/min was given using IV set which gives 60drops for every milliliter ml/hr = 1ml/60drops × 100drops/min × 60min/hr = 6000ml/60hr = 100ml/hr • Measure is dosage Unit of measure mg/hr 30micrdrop/min means 30drops/min was given using IV set which gives 60drops for every milliliter mU/hr = 1000mU/1U × 20U/500ml × 1ml/60drops × 100drops/min × 60min/hr = 120000000mU/30000hr = 4000mU/hr 3. A doctor orders pitocin drip at 45microdrips per minute. The solution contains 20U of Pitocin in 1000ml of D5W. Calculate the units per minute, milliliter per hour and the unit per hour the patient is receiving. • Measure is dosage Unit of measure is unit per minute ie U/min Note microdrips means the set calibration is 60drops/ml U/hr = 20U/1000ml × 1ml/60drops × 45drops/min = 900U/60000min = 0.015U/min • Measure is Flow rate Unit of measure ml/hr 45micrdrop/min means 45drops/min was given using IV set which gives 60drops for every milliliter mg/hr = 1ml/60drops × 45drops/min × 60mins/hr = 2700ml/60hr = 45ml/hr • Measure is dosage Unit of measure is unit per hour ie U/hr U/hr = 20U/1000ml × ml/60drops × 45drops/min × 60min/hr = 54000U/60000hr = 0.9U/hr 4. The order is infuse Dopamine 400mg in 250ml of D5W at 30microdrops/min . Calculate the mg/min, ml/hr and mg/hr that the patient will receive. • Measure is dosage
  • 4. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure mg/min Microdrop means calibration of the IV set is 60drops given for every ml. 30microdrop/min means 30drops/min was given using IV set which gives 60drops for every milliliter mg/min = 400mg/250ml × ml/60drops × 30drops/min = 12000mg/15000min = 0.8mg/min • Measure is flow rate Microdrop/min implies that the IV set use gives 60drops for every milliliter Unit of measure ml/hr ml/hr = 1ml/60drops x 30drops/min x 60min/1hr = 1800ml/60hr = 30ml/hr • Measure is dosage Unit of measure mg/hr 30micrdrop/min means 30drops/min was given using IV set which gives 60drops for every milliliter mg/hr = 400mg/250ml × ml/60drops × 30drops/min × 60min/hr = 720000mg/15000hr = 48mg/hr 5. To help support blood pressure of a patient in shock, a doctor ordered Dobutamine 250mg in 250ml of D5W to run at 25ml/hr on a pump. Calculate the mg/min, mg/hr and mcg/min they the patient is receiving • Measure is dosage Unit of measure mg/min mg/min = 250mg/250ml × 25ml/hr × 1hr/60min = 6250mg/15000min = 0.417mg/min = 0.42mg/min • Measure is dosage Unit of measure mg/hr mg/hr = 250mg/250ml × 25ml/hr = 6250mg/250hr = 25mg/hr • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg × 250mg/250ml × 25ml/hr × 1hr/60min = 6250000mcg/15000min = 416.67mcg/min
  • 5. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 416.7mcg/min 6. A patient weighing 46kg with testicular cancer has order for Adriamycin 25mcg/kg IV. The dosage to is to be added to 1litre of 0.9% Normal saline and infuse over 6hrs. Determine first the dosage you wil prepare. Then calculate the mcg/hr that the patient will receive during the infusion. • Measure is weight Unit of measure mg mg/ml = 1mg/1000mcg × 25mcg/kg × 46kg/1 = 1150mg/1000 = 1.15mg • Measure is dosage Unit of measure mcg/hr mcg/hr = 25mcg/kg × 46kg/6hr = 1150mcg/6hr = 191.67mcg/hr = 191.7mcg/hr 7. A patient has CHF following an MI and has an order for Nitrol (nitroglycerine) IV 3ml/hr by the pump. The solution has a dilution of 200mcg/ml of Nitrol. How many mcg/min and mcg/hr is the patient receiving? • Measure is dosage Unit of measure mcg/min mcg/min = 200mcg/ml × 3ml/hr × 1hr/60min = 600mcg/60min = 10mcg/min • Measure is dosage Unit of measure mcg/hr mcg/hr = 200mcg/ml × 3ml/hr = 600mcg/hr 8. A patient with ventricular irritability has pronestyl at 4mg/min. The solution available contains 500mg pronestyl in 250ml of D5W. Calculate the ml/hr the pump should deliver. • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/500mg × 4mg/min × 60min/hr = 6000ml/500hr = 12ml/hr 9. You have an order 250ml for D5W for over 2hrs. The drip factor for the the IV tubing is 15gtt/ml. How many gtt/min will you deliver? • Measure is drip rate
  • 6. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure gtt/min gtt/min = 15gtt/ml × 250ml/2hr × 1hr/60min = 3750gtt/120min = 31.25gtt/min there can’t be 0.25gtt hence = 31gtt/min 10. You have an order for 250ml over one hour. Your IV set have a drip factor of 60gtt/ml. what is the drop/min? • Measure is drip rate Unit of measure drops/min gtt/min means drops/min drops/min = 60drops/ml × 250ml/1hrs × 1hr/60min = 15000drops/60min = 250drops/min 11. Your post-op cardiac bypass patient has orders to infuse Nipride at 30gtt/minute. The solution available is 100mg of Nipride in 500ml of D5W. Calculate the mg/min and mg/hr that the patient is receiving. The set calibration is a Microdrip. • Measure is dosage Unit of measure mg/min Microdrip means calibration of the IV set is 60drops/ml gtt means drop therefore 60drops/ml implies 60gtt/ml mg/min = 100mg/500ml × ml/60gtt × 30gtt/min = 3000mg/30000min = 0.1mg/min • Measure is dosage Unit of measure mg/hr mg/hr = 100mg/500ml × ml/60drops × 30drop/min × 60min/hr = 180000mg/30000hr = 6mg/hr 12. Nipride is ordered at 2mcg/kg/min. The Nipride solution has 50mg in 500ml D5W. The patient weighs 140Ibs. How many microdrip/min is been infuse? • Measure is drip rate Unit of measure drops/min Microdrip means the calibration of the IV set use gives 60drops for every mls drops/min = 60drops/ml × 500ml/50mg × 1mg/1000mcg × 2mcg/kg/min × 1kg/2.2Ib × 140Ib/1 = 16800000drops/110000min = 152.71drops/min There cannot be 0.7drops Hence drops/min = 153drops/min
  • 7. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 13. A 70kg adult has orders for a Lidocaine continuous infusion of 25mcg/kg/min. The solution available is 500mg of Lidocaine in 250ml of D5W. Calculate the mcg/min, mg/hr, ml/hr and the microdrip/min • Measure is dosage Unit of measure mcg/min mcg/min = 25mcg/kg/min x 70kg/1 = 1750mcg/min • Measures is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg x 25mcg/kg/min x 70kg/1 × 60min/hr = 105000mg/1000hr = 105mg/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/500mg x 1mg/1000mcg x 25mcg/kg/min x 70kg/1 x 60min/hr = 26250000mcg/500000hr = 52.5ml/hr • Measure is drip rate Unit of measure drops/min Microdrip/min means the calibration of IV set gives 60drops for every mls administer drops/min = 60drops/ml x 250ml/500mg x 1mg/1000mcg x 25mcg/kg/min x 70kg/1 = 26250000drops/500000min = 52.5drops/min 0.5drops cannot be given hence drops/min = 53drops/min 14. Infuse Nipride at 25mcg/kg/min. The solution available is 50mg of Nipride in 500ml of D5W. The patient weighs 62kg. Calculate the mcg/min, mg/hr, ml/hr and the microdrip/min • Measure is dosage Unit of measure mcg/min mcg/min = 25mcg/kg/min x 62kg/1 = 1550mcg/min • Measure is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg x 25mcg/kg/min x 62kg/1 x 60min/hr = 93000mg/1000hr = 93mg/hr • Measure is dosage Unit of measure microdrip/min
  • 8. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Microdrip/min means the calibration of the IV set use gives 60drops for every ml administer drops/min = 60drops/ml x 500ml/50mg x 1mg/1000mcg x 25mcg/kg/min x 62kg/1 = 46500000drops/50000min = 930drops/min 15. A patient with Hodgkin’s disease weighs 90Ib has an order for Bleomycin 0.25U/kg to be diluted in 50ml of NS. Infuse this over 30minutes. Calculate the dosage to be diluted then determine the U/min and microdrip/min the patient will receive • Measure is dosage Unit of measure unit U = 0.25U/kg x 1kg/2.2Ib x 90Ib/1 = 22.5U/2.2 = 10.27U • Measure is dosage Unit of measure U/min U/min = 0.25U/kg/30min x 1kg/2.2Ib x 90Ib/1 = 22.5U/6.6min = 3.41U/min • Measure is drip rate Unit of measure drops/min Microdrip/min means the calibration of IV set use gives 60drops for every ml administered drops/min = 60drops/ml x 50ml/30min = 3000drops/30min = 100drops/min 16. A patient has an order of Nipride to reduce his afterload during acute angina attack. The order reads to add 50mg of Nipride to 500ml D5W and infuse at 2mcg/kg/min on a pump. The patient weighs 70kg. Calculate the flow rate in ml/hr and microdrip/min. • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/50mg x 1mg/1000mcg x 2mcg/kg/min x 70kg/1 x 60min/1hr = 4200000ml/50000hr = 85ml/hr • Measure is drip rate Microdrip/min means the calibration of IV set use gives 60drops for every milliliter administered Unit of measure drops/min drops/min = 60drops/ml x 500ml/50mg x 1mg/1000mcg x 2mcg/kg/min x 70kg/1 = 4200000drops//50000mins
  • 9. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 85drops/min 17. A patient in CHF has orders for Nitrostat 5mcg/min IV. The solution available has 8mg of Nitrostat in 250mg of D5W. Calculate the Flow rate in microdrip/min • Measure is drip rate Microdrip/min means the calibration of IV set use gives 60drops for every milliliter Unit of measure drop/min drops/min = 60drops/ml x 250ml/8mg x 1mg/1000mcg x 5mcg/min = 75000drops/8000min = 9.375 drops/min There cannot 0.375drops hence drops/min = 9drops/min 18. Infuse 1gram of Aminophylline in 1000ml D51/2NS at 0.7mg/kg/hr. The patient weighs 169Ibs. Calculate the dosage in mg/hr, ml/hr, microdrip/min and in mg/min. The FDA recommends that you not exceed 20mg/min when infusing Aminophylline. • Measure is dosage Unit of measure mg/hr mg/hr = 0.7mg/kg/hr x 1kg/2.2Ib x 169Ib/1 = 118.3mg/2.2hr = 53.77mg/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/1g x 1g/1000mg x 0.7mg/kg/hr x 1kg/2.2Ib x 169Ib/1 = 118300ml/2200hr = 53.77ml/hr • Measure is drip rate Microdrip/min means the calibration of IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 1000ml/1g x 1g/1000mg x 0.7mg/kg/hr x 1kg /2.2Ib x 169Ib/1 x 1hr/60min = 7098000drops/132000min = 53.77drops/min There cannot be 0.77drops Hence. drops/mins = 54drops/min • Measure is dosage Unit of measure mg/min mg/min = 0.7mg/kg/hr x 1kg/2.2Ib x 169Ib/1 x 1hr/60min
  • 10. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 118.3mg/132min = 0.896mg/min 19. Nitroglycerin 10mcg/min is ordered to help sustain the cardiac output. The solution strength available is 25mcg/ml. Calculate the flow rate in microgutta/min for the IVAC pump. • Measure is drip rate Microgutta means microdrip as gutta means drop Microgutta implies the calibration of the IV set use gives 60guttas for every milliliter Unit of measure gutta/min gutta/min = 60gutta/ml x ml/25mcg x 10mcg/min = 600gutta/25min = 24gutta/min 20. A patient with ventricular ectopic has a stat order for Lidocaine infusion, which will run at 30ml/hr. The solution has 1gram of Lidocaine in 500ml of D5W. Calculate the mg/hr, mg/min and then the microdrip/min that the patient will receive. • Measure is dosage Unit of measure mg/hr mg/hr = 1000mg/1g x 1g/500ml x 30ml/hr = 30000mg/500hr = 60mg/hr • Measure is dosage Unit of measure mg/min mg/min = 1000mg/1g x 1g/500ml x 30ml/hr x 1hr/60min = 30000mg/30000min = 1mg/min • Measure is drip rate Microdrip implies the calibration of the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 30ml/hr x 1hr/60min = 1800drops/60min = 30drops/min 21. 0.5grams of Aminophylline is added to 500ml of D5/1/4NS. The order is to infuse the IV over 6hrs. Calculate the mg/hr, mcg/min, ml/hr and microdrip/min the patient will receive. • Measure is dosage Unit of measure mg/hr mg/hr = 1000mg/1g x 0.5g/6hr = 500mg/6hr = 83.3mg/hr • Measure is dosage
  • 11. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure mcg/min mcg/min = 1000mcg/1mg x 1000mg/1g x 0.5g/6hr x 1hr/60min = 500000mcg/360min = 1388.89mcg/min • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/6hrs = 83.33ml/hr • Measure is drip rate Microdrip/min implies the calibration of IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 500ml/6hr x 1hr/60min = 30000drops/360min = 83.33drops/min There cannot 0.33drops Hence drops/min = 83drops/min 22. 1g of Aminophylline is added to 500ml of D5W. The order is to infuse the IV over 10hrs. Calculate the mg/hr, ml/hr, mcg/min and microdrip/min the patient will receive. • Measure is dosage Unit of measure mg/hr mg/hr = 1000mg/1g x 1g/10hr = 1000mg/10hr = 100mg/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/10hrs = 50ml/hr • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg x 1000mg/1g x 1g/10hr x 1hr/60min = 1000000mcg/600min = 1666.67mcg/min • Measure is drip rate Microdrip/min implies the calibration of IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 500ml/10hrs x 1hr/60min = 30000drops/600min = 50drops/min
  • 12. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 23. A patient undergoing CS has a stat order for Pitocin infusion, which will run for 5hrs Post delivery. The solution has 20U of Pitocin in 500ml of D5W. Calculate the mU/hr, mU/min, ml/hr and then the microdrip/min that the patient will receive. • Measure is dosage Unit of measure mU/hr mU/hr = 1000mU/1U x 20U/5hr = 20000mU/5hr = 4000mU/hr • Measure dosage Unit of measure mU/min mU/min = 1000mU/1U x 20U/5hr x 1hr/60min = 20000mU/300min = 66.67mU/min • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/5hr = 100ml/hr • Measure is drip rate Microdrip/min implies the calibration of IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 500ml/5hr x 1hr/60min = 30000drops/300min = 100drops/min 24. A patient with Diabetic ketoacidosis weighs 100Ibs has an order for Insulin 0.1U/kg/hr. Mixture of 100U of regular insulin in 100ml NS. determine the U/min, ml/hr U/hr and microdrops/min the patient wil receive. • Measure is dosage Unit of measure U/min U/min = 0.1U/kg/hr x 1kg/2.2Ib x 100Ib/1 x 1hr/60min = 10/132min = 0.076U/min Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/100U x 1U/kg/hr x 1kg/2.2Ib x 100Ib/1 = 10000ml/220hr = 45.45ml/hr • Measure is dosage Unit of measure U/hr U/hr = 0.1U/kg/hr x 1kg/2.2Ib x 100Ib/1
  • 13. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 10U/2.2hr = 4.45U/hr • Measure is drip rate Microdrop/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 100ml/100U x 0.1U/kg/hr x 1kg/2.2Ib x 100Ib/1 x 1hr/60mins = 60000drops/132min = 45.45drops/min One cannot give 0.45drops Hence drops/min = 45drops/min 25. Amikacin is ordered for the patient with a very severe infection. Solution is available of 500mg in 250ml of D5W to infuse over 30min using a pump. Calculate the mg/min, ml/hr, mcg/hr and microdrops/min the patient will receive. • Measure is dosage Unit of measure mg/min mg/min = 500mg/30minutes = 16.67mg/min • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/30min x 60min/hr = 15000ml/30min = 500ml/hr • Measure is dosage Unit of measure mcg/hr mcg/hr = 1000mcg/1mg x 500mg/30min x 60min/hr = 30000000mcg/30hr = 1000000mcg/hr • Measure is drip rate Microdrops/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 250ml/30min = 15000drops/30min = 500drops/min 26. Esmolol IV is ordered to control the rate of a patient during surgery. The solution available is 5g in 500ml of D5W. The doctor ordered the infusion to start at 50ml/hr. Calculate the dosage in mg/hr, microdrops/min, g/min and mg/min. • Measure is dosage
  • 14. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure mg/hr mg/hr = 1000mg/1g x 5g/500ml x 50ml/hr = 250000mg/500hr = 500mg/hr • Measure is drip rate Microdrip/min implies the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 50ml/hr x 1hr/60min = 3000drops/60hr = 50drops/min • Measure is dosage Unit of measure g/min g/min = 5g/500ml x 50ml/hr x 1hr/60min = 250g/30000hr = 0.0083g/hr • Measure is dosage Unit of measure mg/min mg/min = 1000mg/1g x 5g/500ml x 50ml/hr x 1hr/60min = 250000mg/30000min = 8.33mg/min 27. A patient weighing 120Ib has orders for 6mcg/kg/min of Nipride. The solution available has 50mg in 250ml of D5W. Calculate the mcg/min, ml/hr microdrops/min and mg /hr. • Measure is dosage Unit of measure mcg/min mcg/min = 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1 = 720mcg/2.2min = 327.27mcg/min • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/50mg x 1mg/1000mcg x 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1 x 60min/1hr = 10800000ml/110000hr = 98.18ml/hr • Measure is drip rate Microdrops/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/mi drops/min = 60drops/ml x 250ml/50mg x 1mg/1000mcg x 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1 = 10800000drops/110000min = 98.18drops/min One cannot give 0.18drops
  • 15. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Hence drops/min = 98drops/min • Measure is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg x 6mcg/kg/min x 1kg/2.2Ib x 120Ib/1 x 60min/1hr = 43200mg/2200hr = 19.64mg/hr 28. A continuous infusion of Isuprel is ordered for a patient with Torsade des pointes. The rate is 40ml/hr. The solution has 2mg in 500ml of D5W. Calculate the mg/hr, mcg/hr, microdrop/min and mcg/min the patient will be receiving. • Measure is dosage Unit of measure mg/hr mg/hr = 2mg/500ml x 40ml/hr = 80mg/500hr = 0.16mg/hr • Measure is dosage Unit of measure mcg/hr mcg/hr = 1000mcg/1mg x 2mg/500ml x 40ml/hr = 80000mcg/500hr = 160mcg/hr • Measure is drip rate Microdrop/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 40ml/hr x 1hr/60min = 2400drops/60min = 40drops/min • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg x 2mg/500ml x 40ml/hr x 1hr/60min = 80000mcg/30000min = 2.67mcg/min 29. The order is to infuse dobutamine (Dobutrex) 500mg in 500ml of D5W at 15ml/hr. calculate the mg/hr, mg/min, microgutta/min and mcg/hr the patient will be receiving • Measure is dosage Unit of measure mg/hr mg/hr = 500mg/500ml x 15ml/hr = 7500mg/500hr = 15mg/hr
  • 16. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is dosage Unit of measure mg/min mg/min = 500mg/500ml x 15ml/hr x 1hr/60min = 7500mg/30000min = 0.25mg/min • Measure is drip rate gutta means drops Hence microgutta/min means microdrip/min Microgutta/min implies that the IV set use gives 60guttas for every milliliter Unit of measure gutta/min gutta/min = 60gutta/ml x 15ml/hr x 1hr/60min = 900gutta/60min = 15gutta/min • Measure is dosage Unit of measure mcg/hr mcg/hr = 1000mcg/1mg x 500mg/500ml x 15ml/hr = 7500000mcg/500ml = 15000mcg/hr 30. For a patient experiencing an acute MI with symptoms of cardiogenic shock, the doctor ordered an infusion of Isuprel at 3mcg/min. Isuprel 2mg is added to 500ml of D5W. Calculate the ml/hr, mg/hr and microdrip/min you will set the pump to deliver. • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/2mg x 1mg/1000mcg x 3mcg/min x 60min/1hr = 90000mcg/2000hr = 45ml/hr • Measure is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg x 3mcg/min x 60min/1hr = 90mg/1000hr = 0.09mg/hr • Measure is drip rate Microdrip/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/min drops/min = 60drops/ml x 500ml/2mg x 1mg/1000mcg x 3mcg/min = 90000drops/2000min = 45drops/min
  • 17. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 31. A patient with angina has orders for a continuous IV infusion of Nitrostat. The solution available has 8mg in 250ml of D5W. Orders are to infuse at 20microdrops/min. Calculate the ml/hr, mcg/min, mg/hr and mg/min the patient receive. • Measure is flow rate Unit of measure ml/hr Microdrops/min implies that the IV set use gives 60drops for every milliliter ml/hr = 1ml/60drops x 20drops/min x 60min/1hr = 1200ml/60hr = 20ml/hr • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg x 8mg/250ml x 1ml/60drops x 20drops/min = 160000mcg/300000min = 0.53mcg/min • Measure is dosage Unit of measure mg/hr mg/hr = 8mg/250ml x 1ml/60drops x 20drops/min x 60min/1hr = 9600mg/15000hr = 0.64mg/hr • Measure is dosage Unit of measure mg/min mg/min = 8mg/250ml x 1ml/60drops x 20drops/min = 160/15000min = 0.011mg/min 32. A mpram solution provides 20mg/ml. The orders are to infuse at 3mg/min. Calculate the ml/hr, mg/hr, microdrip/min and mcg/min the patient received. • Measure is flow rate Unit of measure ml/hr ml/hr = 1ml/20mg x 3mg/min x 60min/1hr = 180ml/20hr = 9ml/hr • Measure is dosage Unit of measure mg/hr mg/hr = 3mg/min x 60min/hr = 180mg/hr • Measure is drip rate Microdrop/min implies that the IV set use gives 60drops for every milliliter Unit of measure drops/min
  • 18. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA drops/min = 60drops/ml x 1ml/20mg x 3mg/min = 180drops/20min = 9drops/min • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg x 3mg/min = 3000mcg/min 33. A patient is receiving 416ml of blood over 4hours. What is the required drip rate if the IV set delivers 20gtt/ml. Determine the flow rate. • Measure is drip rate Unit of measure drops/min gutta (gtt) means drops hence 20gtt/ml means 20drops/ml gutta/min = 20gtt/ml x 416ml/4hr x 1hr/60min = 8320drops/240min = 34.67drops/min 0.67 drops cannot be given Hence drops/min = 35drops/min • Measure is flow rate Unit of measure ml/hr ml/hr = 416ml/4hr = 104ml/hr 34. The physician has ordered 500ml D5W with 10units IV oxytocin. Begin at 2mU/min and then increase by 1mU/min every 30min until regular contractions begin. Maximum dose is 30mU/min. a. What is the IV flow rate for the beginning infusion? b. What is the IV flow rate for the maximum infusion? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/10U × 1U/1000mU × 2mU/min × 60min/hr = 600000ml/10000hr = 6ml/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/10U × 1U/1000mU × 30mU/min × 60min/hr = 180000ml/10000hr
  • 19. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 18ml/hr 35. There is an outbreak of scarcoptic mange at your rabbit farm and your veterinarian prescribed subcutaneously 400mcg/kg Ivermectin once every fortnight for three consecutive doses. Ivermectin dosage is 200-400mcg/kg You have 50 units of rabbits on your farm and average weight of each rabbit is 3kg. The Ivermectin comes in 1% w/v in 50ml bottle. Each bottle cost €27.84? How many bottles per dose do you need? How many bottles of 50ml Ivermectin will be needed to completely treat your rabbits? What is the total cost of the treatment? How many milliliters per unit per dose do you need? how many milliliters of Ivermectin will you need to treat you whole farm? How many milligrams per dose do you need on your farm? How many milligrams of the drug is required to treat the whole farm? How much money will be spent on the cost of treatment of each dose? How much will it cost to treat a unit of rabbit? • Measure is quantity Unit of measure bottle/dose Unit of rabbit consist of 10 rabbits 1% w/v Ivermectin means 1g of Ivermectine in b 100ml of solution bottle/dose = 1bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg × 3kg/1rabbit × 10rabbit/unit × 50unit/dose = 600000000bottle/50000000dose = 1.2bottle/dose You cannot buy 1.2bottle hence = 2bottle/dose • Measure is amount Unit of measure bottles Bottles = bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg × 3kg/1rabbit × 10rabbit/1unit × 50units/dose × 1dose/week × 3weeks/1 = 1800000000bottles/50000000 = 3.6bottles You cannot buy 3.6bottles hence = 4bottles • Measure is amount Unit of measure euro € = €27.84/bottle × 1bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/1kg × 3kg/rabbit × 10rabbit/1unit × 50units/dose × 1dose/1week × 3weeks/1 = €5011200000/50000000 = €100.22 • In reality € = €27.84/bottle × 4bottle/1 = €111.36
  • 20. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is volume Unit of measure milliliters/unit/dose ml/unit/dose = 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg × 3kg/rabbit × 10rabbit/unit/dose = 1200000ml/1000000unit/dose = 1.2ml/unit/dose • Measure is volume Unit of measure milliliters ml = 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/1kg × 3kg/1rabbit × 10rabbit/1unit × 50units/dose × 1dose/week × 3weeks/1 = 1800000000ml/100000000 = 180ml • Measure is amount/dose Unit of measure mg/dose mg/dose = 1mg/1000mcg × 400mcg /kg × 3kg/rabbit × 10rabbit/unit × 50units/dose = 600000mg/ 1000dose = 600mg/dose • Measure is amount Unit of measure milligram mg = 1mg/1000mcg × 400mcg/1kg × 3kg/1rabbit × 10rabbit/1unit × 50units/dose × 1dose/1week × 3weeks/1 = 1800000mg/1000 = 1800mg • Measure is amount Unit of measure euro/dose €/dose = €27.84/bottle × 1bottle /50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg × 3kg/1rabbit × 10rabbit/unit × 50units/dose = €1870400000/50000000dose = €33.41 • In reality € = €27.84/1bottle × 2bottle/1 = €55.68 • Measure is amount Unit of measure euro/unit €/unit = €27.84/1bottle × 1bottle/50ml × 100ml/1g × 1g/1000mg × 1mg/1000mcg × 400mcg/kg × 3kg/rabbit × 10rabbits/unit = 33408000/50000000dose = €0.67 36. Your kitten is very sick and your vet prescribed medicine. You need to give your kitten 550mg of medicine every 8 hours for the next 3 weeks. The medicine is only sold in 225mg tablets. A bottle of 18tablets cost $10.95 (including tax). How many bottles of medicine should you buy to save your kitten from the grip of death and how much will it cost you?
  • 21. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measures is amount Unit of measure bottle bottle = 1bottle/18tablet × 1tablet/225mg × 550mg/8hrs × 24hrs/day × 7day/week × 3week/1 = 277200bottle/32400 = 8.6bottles You cannot buy 8.6bottles hence = 9 bottles • Measure is dollars Unit of measure is $ $ = $10.95/1bottle × 1bottle/18tablet × 1tablet/225mg × 550mg/8hrs × 24hrs/day × 7day/week × 3week/1 = $3035340/32400 = $93.68 In reality $ = $10.95/1bottle × 9bottle = $98.55/1 = $98.55 37. The obstetrician has ordered Pitocin infusion for Augmentation of Labour in 20YO primigravida. Begin at 15drops/min and increase by 5mU/min every 30mins until regular contractions begin. Maximum dose is 60drops/min. Pitocin- 1ml vials with 10unit/vial. The L&D protocol is mix 1 vial per 500ml NS a. What is the dose in mU/min for the beginning infusion? b. What is the drip rate of the regular increase using microdrip set? c. What is the dose in mU/min for the maximum infusion? • Measure is dosage Unit of measure mU/min mU/min = 1000mU/1U × 5U/500ml × 1ml/60drops × 15drops/min = 75000mU/30000min = 2.5mU/min • Measure is drip rate Unit of measure drops/min drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 5mU/min = 150000drops/5000min = 30drops/min • Measure is dose
  • 22. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure mU/min Microdrip gives 60drops for every 1ml mU/min = 1000mU/1U × 5U/500ml × 1ml/60drops × 60drops/min = 300000mU/30000min = 10mU/min 38. A 28YO female (50kg) is admitted with post maturity in hospital. It is decided to induce Labour. All the contraindications are ruled out. Set an IV infusion drip rate of oxytocin for her using microdrip set. (Rate of infusion- 4milli unit/min). L&D pre-mixed bag contains 5unit of Pitocin in 500ml NS • Measure is drip rate Unit of measure drops/min Microdrip gives 60drops for every 1ml drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 4mU/min = 120000drops/5000min = 24drops/min 39. Tridil is infusing at 15 mL/hr on an infusion pump. The drug is mixed 50 mg in 500 mL D5W. How many mcg/minute is the patient receiving? • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg × 50mg/500ml × 15ml/hr × 1hr/60min = 750000mcg/30000min = 25mcg/min 40. The patient's heparin is infusing at 28 mL/hr on an infusion pump. The bag of fluid is mixed 20,000 units of heparin in 500 mL D5W. What hourly dose of heparin is the patient receiving? • Measure is dosage Unit of measure unit/hr unit/hr = 20000unit/500ml × 28ml/hr
  • 23. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 560000unit/500hr = 1120unit/hr 41. Ordered - 2mU/min Pitocin - 1ml vials with 10unit/ml Protocol on L&D - mix 2 vials per 1000ml NS What does the IV pump need to be set at? • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/2vials × 1vial/10unit × 1unit/1000mU × 2mU/min × 60min/hr = 120000ml/20000hr = 6ml/hr 42. One liter NS to infuse over 24 hours using a microdrip (gravity flow). Calculate the flow rate. • Measure is drip rate Unit of measure drops/min Microdrip gives 60drops sb for every 1ml drops/min = 60drops/ml × 1000ml/1L × 1L/24hrs × 1hr/60min = 60000drops/1440min = 41.67drops/min = 42drops/min 43. Order: Zofran 8 mg p.o.t.i.d. Available: Zofran in a 100 mL bottle labeled 4 mg/tsp. How many mL will the nurse administer for each dose? • Measure is dosage Unit of measure ml/dose 1teaspoon full gives 5ml ml/dose = 5ml/1tsp × 1tsp/4mg × 8mg/dose = 160ml/dose
  • 24. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 44. Give Ceclor 45 mg/kg/day p.o. in 3 divided doses for a patient who weighs 66 pounds. A 75 mL stock medication is labeled Ceclor 125 mg/mL. How many mL would the nurse administer per dose? • Measure is dosage Unit of measure ml/dose ml/dose = ml/125mg × 45mg/kg/day × 1kg/2.2Ib × 66Ib/1 × 1day/3doses = 2970ml/825doses = 3.6ml/dose 45. Administer Heparin 1,000 units/hr from an l.V. bag mixed 40,000 units in 1 L D5W. How many mL/hr will deliver the correct amount of heparin? • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/1L × 1L/40000unit × 1000unit/hr = 1000000ml/40000hr = 25ml/hr 46. Give Tridil 15 mcg/minute. Tridil is mixed 50 mg in 500 mL D5W. What rate on the infusion pump will deliver the correct dose? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/50mg × 1mg/100mcg × 15mcg/min × 60min/1hr = 450000ml/50000hr = 9ml/hr 47. A lidocaine drip is infusing at 30 mL/hr on an infusion device. The drug is mixed 2 g in 500 mL D5W. How many mg/min is the patient receiving? • Measure is dosages Unit of measure mg/min mg/min = 1000mg/1g × 2g/500ml × 30ml/hr × 1hr/60min = 60000mg/30000min = 2mg/min
  • 25. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 48. Give propofol 10 mcg/kg/minute. The infusion is mixed propofol 250 mg in 250 mL D5W. The patient weighs 168 pounds. What rate on the infusion pump will deliver the correct dose? • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/250mg × 1mg/1000mcg × 10mcg/kg/min × 1kg/2.2Ib × 168Ib × 60min/hr = 25200000ml/550000hr = 45.8ml/hr 49. Give regular insulin by continuous I.V. Infusion at 20unit/hr. The solution is 250ml in NS with 100units of Regular insulin. What rate on the infusion pump will deliver the correct dose? • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/100unit × 20unit/hr = 5000ml/100hr = 50ml/hr 50. At the change of shift, you notice that 200ml left to count in I.V. bag. The I.V. Is infusing at 80mL/hr. How much longer will the I.V. run? (Express your answer in hours and minutes.) • Measure is time Unit of measure hours and minutes hr = 1hr/80ml × 200ml/1 = 200hr/80 = 2.5hr Unit of measure minutes min = 60min/1hr × 0.5hr/1 = 30mins/1 = 30mins • Duration of time of infusion will be 2hrs 30mins
  • 26. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 51. Give Biaxin for a child whose BSA is 0.55 m2 . The usual adult dose is 500 mg. Biaxin is available in an oral suspension. The 100 Ml bottle is labeled 50 mg/mL. How many mL would the nurse give per dose? • Measure is volume Unit of measure ml Adult body surface area 1.73m2 ml = ml/50mg × 500mg/1.73m2 × 0.55m2 /1 = 275ml/86.5 = 3.18ml = 3.2ml 52. Give Phenergan for a child whose BSA is 1.2 m2 . The usual adult dose is 25 mg. How many milligrams would the nurse administer for the dose? • Measure is dosage Unit of measure is mg/dose The average body surface area of an adult is 1.73meters square mg/dose = 25mg/1.73m2 /dose × 1.2m2 /1 = 30mg/1.73dose = 17.3mg/dose 53. Keflin 2g in 100ml D5W IVPB over 20minutes. The I.V tubing is 15gtt/ml. Calculate the flow rate in drops/min? • Measure is drip rate Unit of measure drops/min drops/min = 15drops/ml × 100ml/20min = 1500drops/20min = 75drops/min 54. The patient's heparin drip is infusing at 11 mL/hr on an infusion pump. The bag of fluid is mixed 25,000 units of heparin in 250 mL D5W. What hourly dose of heparin is the patient receiving? • Measure is dosage Unit of measure unit/hr
  • 27. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA unit/hr = 25000unit/250ml × 11ml/hr = 275000unit/250hr = 1100unit/hr 55. Administer a Theophylline drip at 40 mg/hr 1.V. The solution is 250 mL D5W + Theophylline 500 mg. What rate on the infusion pump will deliver the correct dose? • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/500mg × 40mg/hr = 10000ml/500hr = 20ml/hr 56. Aminophylline is infusing at 30 mL/hr. The drug is mixed 250 mg in 500 mL D5W. How many mg/hr is the patient receiving? • Measure is dosage Unit of measure mg/hr mg/hr = 250mg/500ml × 30ml/hr = 7500mg/500hr = 15mg/hr 57. Give Nitroprusside 5 mcg/kg/minute via continuous infusion for a patient weighing 205 lbs. Nitroprusside is available in a solution of 200 mg in 250 mL D5W. What rate on the infusion pump will deliver the correct dose? • Measures is flow rate Unit of measure ml/hr = 250ml/200mg × 1mg/1000mcg × 5mcg/kg/min × 1kg/2.2Ib × 205Ib × 60min/hr = 15375000ml/440000hr = 34.9ml/hr 58. A physician ordered 800mg/kg of medication to be taken in equally divided doses four times per day for a pediatric patient who weighs 67.5Ib. The medication is available in 3g per capsule. How many capsules should the patient take per dose? Round to the nearest whole.
  • 28. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is amount per dose Unit of measure capsule/dose capsule/dose = capsule/3g × 1g/1000mg × 800mg/kg/day × 1kg/2.2Ib × 67.5Ib 1day/4doses = 54000capsule/26400doses = 2capsule/dose 59. The provider prescribes amoxicillin (Amoxil) 20mg/kg/day PO to be given in 2 divided doses. The client weighs 44 lb. The amount available is amoxicillin 250mg/5mL. How many mL should the nurse administer per dose? • Measure is dosage Unit of measure ml/dose ml/dose = 5ml/250mg × 20mg/kg/day × 1kg/2.2Ib × 44Ib/1 × 1day/2doses = 4400ml/1100dose = 4ml/dose 60. The provider prescribes cefixime (Suprax) 8 mg/kg/day PO to be given in 2 divided doses. The client weighs 22 lb. The amount available is 100 mg/5 mL suspension. How many mL should the nurse administer per dose? • Measure is amount per dose Unit of measure ml/dose ml/dose = 5ml/100mg × 8mg/kg/day × 1kg/2.2Ib × 22Ib/1 × 1day/2doses = 880ml/44dose = 2ml/dose 61. The prescriber writes an order for 1,000mL of 5% D/W with 10units of a drug. Your patient must receive 30mU of this drug per minute. Calculate the drip rate in drops per minute using microdrip set • Measure is drip rate Unit of measure drops/min Microdrop means 60drops gives 1ml drops/min = 60drops/ml × 1000ml/10U × 1U/1000mU × 30mU/min = 1800000drops/10000min
  • 29. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 180drops/min 62. The medication order reads: 1,000mL 5% D/W with 1,000mg of a drug at 1mg/min Calculate the drip rate in drops per minute if the drop factor is 15drops/milliliter • Measure is drip rate Unit of measure drops/min drops/min = 15drops/ml × 1000ml/1000mg × 1mg/min = 15000drops/1000min = 15drops/min 63. The patient is to receive 20 mEq of KCl (potassium chloride) in 100 mL of IV fluid at the rate of 10mEq/h. What is the flow rate in microdrips per minute? • Measure is drip rate Unit of measure drops/min Microdrip means infusion set gives 60drops for every ml drops/min = 60drops/ml × 100ml/20mEq × 10mEq/hr × 1hr/60min = 60000drops/1200min = 50drops/min 64. A patient is receiving heparin 1,200units/hour. The directions for the infusion are, add “25,000 units of heparin in 250 mL of solution.” Determine the flow rate in mL/h. • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/25000U × 1200U/hr = 300000ml/25000hr = 12ml/hr 65. Doctor orders that a patient in labour with inadequate contractions should be augmented with Pitocin 5miu/min and increasing the dose by 5miu every 30mins until contractions are 3-5 in 10mins lasting 40-60 seconds and maintain the dose attain to achieve 3-5contractions in 10mins upto maximum dose of 30mU/min. What will be the flow rate? What will be the drips rate and the increase drip rate at each 30mins? The L&D protocol is 5unit of Pitocin in 500ml of NS and giving set gives 1ml for every 15drops • Measures is Flow rate
  • 30. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure ml/hr ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/hr = 150000ml/5000hr = 30ml/hr • Measure is drip rate Unit of measure drops/min drops/min = 15drops/ml × 500ml/5U × 1U/1000mU × 5mU/min = 37500drops/5000min = 7.5drops/min = 8drops/min • Measure is increase drip rate Unit of measure drop/min drops/min = 15drops/ml × 500ml/5U × 1U/1000mU × 5mU/30min = 37500drops/150000min = 0.25drops/min 66. Order: Tagamet (cimetidine) 300mg IVPB q6h in 50mL NS infuse over 30min. The drop factor is 20gtt/ml. Find the flow rate in gtt/min. • Measure is drip rate Unit of measure gtt/min ie drops/min gtts/min = 20gtt/ml × 50ml/30min = 1000gtt/30min = 33.3gtt/min = 33gtt/min 67. The order is for a continuous infusion of theophylline at a rate of 25mg/h. It is diluted in 5% dextrose to produce a concentration of 500mg per 500mL. Determine the rate of the infusion in mL/h. • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/500mg × 25mg/hr = 12500ml/500hr
  • 31. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 25ml/hr 68. A 500mL D5W solution with 2g of Pronestyl (procainamide HCl) is infusing at 15mL/h via a volumetric pump. How many mg/h is the patient receiving? • Measure is dosage Unit of measure mg/hr mg/hr = 1000mg/1g × 2g/500ml × 15ml/hr = 30000mg/500hr = 60mg/hr 69. The physician has ordered 500mL D5W with 5units oxytocin intravenously. Begin at 5mU/min and then increase by 5mU/min every 30minutes until active labor is achieved. Maximum dose is 30mU/min. drop factor 60drops = 1min • Calculate the IV rate (ml/hr) for the beginning infusion • Calculate the IV drip rate (drops/min) for the beginning infusion. • What is the maximum IV flow rate the Pitocin infusion may be set for? • What is the maximum IV drip rate (drops/min) the Pitocin infusion may be set for? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/hr = 150000ml/5000hr = 30ml/hr • Measure is drip rate Unit of measure drops/min drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 5mU/min = 150000drops/5000min = 30drops/min • Measure is flow rate Unit of measure ml/hr
  • 32. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA ml/hr = 500ml/5U × 1U/1000mU × 30mU/min × 60min/hr = 900000ml/5000hr = 1800ml/hr • Measure is drip rate Unit of measure drops/min drops/min = 60drops/ml × 500ml/5U × 1U/1000mU × 30mU/min = 900000drops/5000min = 180drops/min 70. The physician has ordered 500mL D5W with 2.5units oxytocin intravenously. Begin at 2mU/min and then increase by 2mU/min every 30 minutes until regular contractions occur. The maximum dose is 20mU/min. The giving sets is 1ml gives 20drops a. Calculate the IV rate (mL/hr.) for the beginning infusion. b. Calculate the IV drip rate (drops/min) for the beginning infusion. c. Calculate the maximum IV flow rate the Pitocin infusion may be set for. d. Calculate the maximum IV drip rate (drop/min) the Pitocin infusion may be set for. • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/2.5U × 1U/1000mU × 2mU/min × 60min/hr = 60000ml/2500hr = 24ml/hr • Measure is drip rate Unit of measure is drops/min drops/min = 20drops/ml × 500ml/2.5U × 1U/1000mU × 2mU/min = 20000drops/2500min = 8drops/min • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/2.5U × 1U/1000mU × 20mU/min × 60min/hr = 600000ml/2500hr = 240ml/hr
  • 33. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is drip rate Unit of measure drops/min drops/min = 20drops/ml × 500ml/2.5U × 1U/1000mU × 20mU/min = 200000drops/2500min = 80drops/min 71. Order: Intropin (dopamine) 2mcg/kg/min IVPB, titrate to maintain SBP above 90, increase by 5mcg/kg/min q 10–30minutes. Maximum dose 20mcg/kg/min. Monitor BP and HR q 2– 5minutes during titration. The label on the 500mL medication bag states 800mcg/ml, and the patient Weighs 175pounds. a. How many mcg/min of Intropin should the patient receive initially? b. Calculate the initial pump setting in mL/h. • Measure is dosage Unit of measure mcg/min mcg/min = 2mcg/kg/min × 1kg/2.2Ib × 175lb = 350mcg/2.2min = 159.1mcg/min • Measure is flow rate Unit of measure is ml/hr ml/hr = 1ml/800mcg × 2mcg/kg/min × 1kg/2.2lb × 175lb × 60min/1hr = 21000ml/1760hr = 11.93ml/hr 72. The doctor orders the post-operative patient should receive 150g of glucose as 30% sorbitol in 24hrs as the daily energy requirement. The drip rate 30drops/min what is the volume of sorbitol given to the patient? What is the drop factor of the IV set? What is the dose of sorbitol given to the patient? • Measure is volume Unit of measure ml Sorbitol is higher concentration of glucose; 30% of sorbitol means 30g of glucose in 100ml of sorbitol solution ml = 100ml/30g × 150g = 15000ml/30
  • 34. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 500ml • Measure is drop factor Unit of measure drops/ml drops/ml = 30drops/min × 60min/1hr × 24hrs/150g × 30g/100ml = 1296000drops/15000ml = 86.4drops/ml = 86drops/ml • Measure is dosage Unit of measure mg/min mg/min = 1000mg/1g × 150g/24hrs × 1hr/60min = 150000mg/1440min = 104.17mg/min = 104mg/min 73. Gynaecologist performing hysteroscopic metroplasty uses iso osmolar distending medium containing mannitol 5% and glycine 2.2%. If the flow rate is 90ml/min, what is the dose of mannitol? How many grams of glycine had been infused after 1hr of the operation? a. If the doctor increases the dose of mannitol to 8g/min. What is the flow rate of mannitol? What is the dose of glycine infusing? b. If the flow rate was adjusted such that the drip rate is 800drops/min, what will be the flow rate if the drop factor of the IV set is 15drops/ml. what will be the dose of mannitol? How many grams of glycine had been infused after 2hrs? c. If the given set was change and drip rate was adjusted to 600drops/min and the dose of glycine is 11g/min. what is the drop factor of the of the new IV set? What is the flow rate of glycine? How long will it take to infuse 40g of glycine? How much volume of the fluid will be infused in order to give 80g of mannitol? How many grams of mannitol are there be in 800ml of the iso osmolar solution? How many grams of glycine are there in 300ml of the solution? • Measure is dosage Unit of measure mg/min 5% of mannitol solution means there are 5g of mannitol for every 100ml of mannitol solution mg/min = 1000mg/1g × 5g/100ml × 90ml/min = 450000mg/100min = 4500mg/min • Measure is weight
  • 35. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure grams 2.2% of glycine solution means 2.2g of glycine for every 100ml of glycine solution g = 2.2g/100ml × 90ml/min × 60min/1hr × 1hr/1 = 11880g/100 = 118.8g • Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/5g × 8g/min × 60min/hr = 6000ml/5hr = 1200ml/hr • Measure is dosage Unit of measure g/min g/min = 2.2g/100ml × 1200ml/hr × 1hr/60min = 2640g/6000min = 0.44g/min • Measure is flow rate Unit of measure is ml/hr ml/hr = ml/15drops × 800drops/min × 60min/1hr = 48000ml/15hr = 3200ml/hr • Measure is dosage Unit of measure mg/min mg/min = 1000mg/1g × 5g/100ml × 1ml/15drops × 800drops/min = 4000000mg/1500min = 2666.67mg/min = 2666.7mg/min • Measure is weight Unit of measure grams g = 2.2g/100ml × 1ml/15drops × 800drops/min × 60min/1hr × 2hr/1 = 211200g/1500
  • 36. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 140.8g • Measure is drop factor Unit of measure drops/ml drops/ml = 600drops/min × min/11g × 2.2g/100ml = 1320drops/1100ml = 1.2drops/ml = 1drop/ml • Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/2.2g × 11g/min × 60min/hr = 66000ml/2.2hr = 30000ml/hr • Measure is time Unit of measure minutes hr = 1hr/60min × min/11g × 40g = 40hr/660 = 0.06hr • Measure is volume Unit of measure ml ml = 100ml/5g × 80g = 8000ml/5 = 1600ml • Measure is weight Unit of measure grams g = 5g/100ml × 800ml = 4000g/100 = 40g • Measure is weight Unit of measure grams g = 2.2g/100ml × 300ml = 660g/100
  • 37. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 6.6ggrams of glycine are there in 300ml of the solution? 74. Gynaecologist performing hysteroscopy uses 1.5% Glycine as distending medium. If the flow rate is 80ml/min, how many grams of glycine will the infusion into the uterus if the operation lasted for 3hrs? If the flow rate is change to 100ml/min what is the dose in mg/min of glycine infusion? If the drop factor of the IV set is 10drops/ml what is the new drip rate? The assistant changes the giving set to give 10drops/sec in order to be able to give 150mg/min. what is the new flow rate in ml/min. what is the drop factor of the new IV set? • Measure is weight Unit of measure grams 1.5% glycine solution means 1.5g of glycine in 100ml of solution. g = 1.5g/100ml × 80ml/min × 60min/hr × 3hr/1 = 21600g/100 = 216g • Measure is dosage Unit of measure mg/min mg/min = 1000mg/1g × 1.5g/100ml × 100ml/min = 150000mg/100min = 1500mg/min • Measure is drip rate Unit of measure drops/min drops/min = 10drop/ml × 100ml/min = 1000drops/min • Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/1.5g × 1g/1000mg × 150mg/min × 60min/hr = 900000ml/1500hr = 600ml/hr • Measure is drop factor Unit of measure drop/ml drops/ml = 10drops/sec × 60sec/min × min/150mg × 1000mg/1g × 1.5g/100ml = 900000drops/15000ml
  • 38. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 60drops/ml 75. The nurse notes the patient’s IV pump is set at 10ml/hr. The IV bag holds 30 units of Pitocin mixed in 500ml of Lactated Ringers. How many mu/min is the client receiving? What is the drip rate using the standard mircodrip? How long will it to transfuse the whole Pitocin bag? • Measure is dose Unit of measure mU/min mU/min = 1000mU/1U × 30U/500ml × 10ml/hr × 1hr/60mins = 300000mU/30000min = 10mU/min • Measure is drip rate Unit of measure drops/ml Microdrip is 1ml = 60drops drops/min = 60drops/ml × 10ml/hr × 1hr/60min = 600drops/60min = 10drops/min • Measure is time Unit of measure hours/bag hr/bag = 1hr/10ml × 500ml/1bag = 500hr/10bag = 50hr/bag 76. Begin a Pitocin infusion at 5 mu/min via IV pump for labor induction. On hand is Pitocin 40units in 1000ml Lactated Ringers. How many ml/hr will the IV run? How long does it take to infuse the whole Pitocin? What will be the drip rate if the giving set use have a drop factor of 60drops=1ml • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/40U × 1U/1000mU × 5mU/min × 60min/hr = 300000ml/40000hr = 7.5ml/hr • Measure is time Unit of measure is hours
  • 39. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA hr = 1hr/60min × min/5mU × 1000mU/1U × 40U = 40000hr/300 = 133.33hr • Measure is time Unit of measure minutes min = 60min/hr × 0.33hr = 19.8min • Measure is time Unit of measure second sec = 60sec/min × 0.9min = 54sec • Total duration of bag is 133hr 19min 54sec • Measure is drip rate Unit of measure drops/min drops/min = 60drops/ml × 1000ml/40U × 1U/1000mU × 5mU/min = 300000drops/40000min = 7.5drops/min in = 8drops/min 77. Magnesium sulfate 30 grams is mixed in 500 ml Lactated Ringers. Order: infuse a maintenance dose of magnesium sulfate @ 4 grams/hour. How many ml/hr will the IV run? How long will it take to infuse the whole bag? If the standard given set is used what will be the drip rate in drops/min? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/30g × 4g/hr = 2000ml/30hr = 66.67ml/hr • Measure is time Unit of measure hours/bag hr/bag = hr/4g × 30g/bag = 30hr/4bag
  • 40. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 6.5hr/bag • Measure is time Unit of measure minutes min = 60min/hr × 0.5hr = 60min/0.5 = 30min • Total time/bag is 6hrs 30min • Measure is drip rate Unit of measure drops/min Standard giving set is 1ml = 20drops drops/min = 20drops/ml × 500ml/50g × 4g/hr × 1hr/60mins = 40000drops/3000min = 13.3drops/min 78. Your client is ordered 1 mg/hr morphine through the volumetric pump. You have made up an intravenous bag containing 50 mg morphine in 500 mL normal saline. How many mL/hr will you dial up on the volumetric pump? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/50mg × 1mg/hr = 500ml/50hr = 10ml/hr 79. You are required to give 6 mg morphine. In your stock ampoule there is 15 mg per 1mL. How much of the ampoule in ml will you need? • Measure is volume Unit of measure ml ml = 1ml/15mg × 6mg = 6ml/15 = 0.4ml
  • 41. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 80. When you look at your infusions at the commencement of the shift you have 50 mg glyceryl trinitrate (GTN) diluted in 100 mL 5% dextrose solution running at 4 mL/hr via a volumetric pump. Calculate the dose in µg/min. • Measure is dose Unit of measure is mcg/ml mcg/min = 1000mcg/1mg × 50mg/100ml × 4ml/hr × 1hr/60min = 200000mcg/6000min = 33.3mcg/min 81. A 1 litre infusion of NaCl 0.9% is being given over 16 hours using a standard giving set. If the rate at which the infusion is run is 21 drops per minute, over what time will the infusion actually run? (assume 20 drops per ml) • Measure is time Unit of measure hours hr = 1hr/60min × min/20drops × 20drops/ml × 1000ml/1L × 1L/1 = 20000hr/1200 = 16.67hr Measure is time Unit of measure is minutes min = 60min/1hr × 0.67hr/1 = 40.2min Measure is time Unit of measure second sec = 60sec/min × 0.2min/1 = 12sec • Total duration is 16hrs 40mins 12sec 82. Obstetrician order 500mg methldopa every 6hour for patent with high blood in pregnancy. The drug is available as 250mg/tablet. How many doses per day did the patient received? How many mg/day will the patient take? How many tablets per dose will the patient take? How many tablets/day will the patient take? • Measure is number Unit of measure dose/day
  • 42. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA dose/day =1dose/6hrs × 24hrs/day = 24dose/6days = 4doses/day • Measure is dosage Unit of measure is mg/day mg/day = 500mg/6hrs × 24hrs/day = 12000mg/6days = 2000mg/day • Measure is number Unit of measure tablet/dose tablet/dose = tablet/250mg × 500mg/dose = 500tablets/250dose = 2tablets/dose • measure is number Unit of measure tablets/day tablets/day = tablet/250mg × 500mg/6hrs × 24hrs/day = 12000tablets/1500day = 8tablets/day 83. A child weighs 22kg and is ordered 25mg/kg/day every 8 hours, stocked as 0.05g/10ml. Find the mg/kg/per dose, the equivalent ml and the total dose over 24hrs to be given. • Measure is dose Unit of measure mg/kg/dose mg/kg/dose = 25mg/kg/day × 1day/24hrs × 8hr/dose = 200mg/kg/24doses = 6.3mg/kg/dose • Measure is dose Unit of measure ml/kg/dose ml/kg/dose = 10ml/0.05g × 1g/1000mg × 25mg/kg/day × 1day/24hrs × 8hr/dose = 2000ml/kg/1200dose = 1.67ml/kg/dose
  • 43. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is dose Unit of measure mg/24hrs mg/24hrs = 25mg/kg/day × 22kg/1 × 1day/24hrs = 550mg/24hrs 84. A 70kg patient requires Dobutamine at a dose of 10mcg/kg/min and Dopamine 2.5mcg/kg/min. a. Calculate the dose of each drug in (i) mg/min (ii) mg/hr b. Calculate the dose in mls per hour if the infusions are prepared as below: Dobutamine 250mg in 50mls dextrose 5% Dopamine 200mg in 50mls dextrose 5% The patient's urine output improves and his dose of Dobutamine is reduced to 8mcg/kg/min. c. Calculate his new dose in mls/hr. • Measure is dosage Unit of measure mg/min Dobutamine mg/min = 1mg/1000mcg × 10mcg/kg/min × 70kg = 700mcg/1000min = 0.7mg/min • Measure is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg × 10mcg/kg/min × 70kg × 60min/hr = 42000mg/1000hr = 42mg/hr • Dopamine • Measure is dosage Unit of measure is mg/min mg/min = 1mg/1000mcg × 2.5mcg/kg/min × 70kg = 175mg/1000min = 0.175mg/min • Measure is dosage Unit of measure mg/hr mg/hr = 1mg/1000mcg × 2.5mcg/kg/min × 70kg × 60min/hr
  • 44. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 10500mg/1000hr = 10.5mg/hr • Dobutamine • Measure is flow rate Unit of measure ml/hr ml/hr = 50ml/250mg × 1mg/1000mcg × 10mcg/kg/min 70kg × 60min/hr = 2100000ml/250000hr = 8.4ml/hr = 8ml/hr • Dopamine • Measure is flow rate Unit of measure ml/hr ml/hr = 50ml/200mg × 1mg/1000mcg × 2.5mcg/kg/min × 70kg × 60min/1hr = 525000ml/200000hr = 2.625ml/hr = 3ml/hr • Dopamine • Measure is flow rate Unit of measure ml/hr ml/hr = 50ml/250mg × 1mg/1000mcg × 8mcg/kg/min × 70kg × 60min/hr = 1.680000ml/250000hr = 6.72ml/hr = 7ml/hr 85. A patient is being given Chloramphenicol eye drops 0.5% for an eye infection. a. How much drug is contained in 5ml? b. How much drug is contained in 1 drop if each 1ml = 20 drops • Measure is volume Unit of measure mg 0.5% chloramphenicol means 0.5g in 100ml mg = 1000mg/1g × 0.5g/100ml × 5ml = 2500mg/100
  • 45. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 25mg • Measure is dosage Unit of measure mg/drop 0.5% chloramphenicol means 0.5g in 100ml mg/drop = 1000mg/1g × 0.5g/100ml × 1ml/20drop = 500mg/2000drops = 0.25mg/drop 86. What quantity of Adrenaline in mg is there in a 20ml vial of 1in 200,000 Adrenaline • Measure is amount Unit of measure is mg/vial 1 in 200000 adrenaline means 1g in 200000ml mg/vial = 1000mg/1g × 1g/200000ml × 20ml/vial = 20000mg/200000vial = 0.1mg/vial 87. Drug J is available as 125mg and 50mg capsules. Mr N weighs 82kg and has been prescribed 12mg per kg daily in 2-3 divided doses. How would you label the bottles of capsules • Measure is dose Unit of measure mg/dose mg/dose = 12mg/kg/day × 82kg/1 × 1day/3doses = 984mg/3dose = 328mg/dose • Two tablets of 125mg (250mg) and one and half tablet of 50mg (75mg) altogether 328mg dose • measure is dose Unit of measure mg/dose mg/dose = 12mg/kg/day × 82kg × 1day/2doses = 984mg/2dose = 492mg/dose • Three tablets of 125mg (375mg) and two and half tablet of 50mg (125mg)
  • 46. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 88. The reading on a syringe driver administering drug C is 3.5mls/hr. The additive label says '250mg in 50ml' and the patient's weight is 70kg. What dose of drug C is the patient receiving in mcg/kg/min? • Measure is dose Unit of measure mcg/kg/min mcg/kg/min = 1000mcg/1mg × 250mg/50ml × 3.5ml/hr × 1hr/60min × 1/70kg = 875000mcg/210000kg/min = 4.17mcg/kg/min 89. A client is ordered 600 mg of Carbamazepine in two separate doses. Available tablets are of 150mg. How many tablets will you give per dose? • Measure is dose Unit of measure tablet/dose tablet/dose = tablet/150mg × 600mg/2doses = 600tablet/300doses = 2tablets/dose 90. The dose to be given is 72.5 mg/day in three separate doses in a day. The stock solution contains 50mg in 10ml. How many ml would you administer per dose and in total in a day? • Measure is dose Unit of measure ml/dose/day ml/dose = 10ml/50mg × 72.5mg/3doses/day = 725ml/150dose/day = 4.83ml/dose/day = 4.8ml/dose/day 91. Doctor order Cefazolin 350 mg IV every 4 hours. The child weighs 31 lbs. The safe dosage range for this medication is 25-75 mg/kg/day. Is this a safe dose for this patient? • Measure is dose Unit of measure is mg/day mg/day = 350mg/4hrs × 24hrs/days = 8400mg/4days
  • 47. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 2100mg/day Minimum dose mg/day = 25mg/kg/day × 1kg/2.2Ib × 31Ib = 775mg/2.2day = 352.3mg/day Maximum dose mg/day = 75mg/kg/day × 1kg/2.2Ib × 31Ib = 2325mg/2.2Ib = 1056.8.7mg/day • Dose 2100mg/day is more than maximum dose 1056.8mg/day hence the dose is not safe 92. Doctor orders an IV drip of Dopamine for a child that weighs 78 lbs. The safe dosage range for this medication is 5-20 mcg/kg/min. What is the safe dosage range for this child?* • Measure is safe dose Unit of measure mcg/min Minimum dose mcg/min = 5mcg/kg/min × 1kg/2.2Ib × 78Ib = 390mcg/2.2min = 177.3mcg/min maximum dose mcg/kg/min = 20mcg/kg/min × 1kg/2.2Ib × 78Ib = 1560mcg/2.2min = 709.1mcg/min • Therefore Safe dose is 177.3 -709.1mcg/min 93. During cesarean section the Anesthetist administered 0.25mg of fentanyl as part of spinal anesthesia. A vial of fentanyl contained 1mg/ml. how much volume in ml of fentanyl was administered by the Anesthetist? • Measure is volume Unit of measure is ml ml = ml/1mg x 0.25mg
  • 48. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 0.25ml/1 = 0.25ml 94. Anesthesiologist gave 2.5ml of bivupacaine as spinal anesthesia to a women undergoing caesarean section. The bivupacaine is available as 0.5% of bivupacaine vial. How many milligrams did the pregnant women received? • Measure is weight Unit of measure is mg Percentage means grams in 100ml of solution 0.5% of bivupacaine means 0.5g buvipacaine per 100ml of solution mg = 1000mg/1g × 0.5g/100ml × 2.5ml/1 = 1250mg/100 = 12.5mg 95. Obstetrician ordered 4g of MgSO4 in 200ml NS to be given over 30min. The MgSO4 is available in 50% in 50ml of MgSO4. How much should the midwife regulate infusion pump in ml/hr? What is the drip rate in drops/min if the drop factor is 20drops/ml? What is the dosage of MgSO4 in mg/min? What is the concentration of MgSO4 in mg/ml? • Measure is flow rate Unit of measure is ml/hr ml/hr = 200ml/30min × 60min/hr = 12000ml/30hr = 4000ml/hr • Measure is drip rate Unit of measure is drops/min drops/min = 20drops/ml × 200ml/30min = 4000drops/30min = 133.33drops/min = 133drops/min • Measure is dose Unit of measure mg/min mg/min = 1000mg/1g × 4g/30min = 4000mg/30min
  • 49. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 133.33mg/min = 133.3mg/min • Measure is concentration Unit of measure mg/ml mg/ml = 1000mg/1g × 4g/200ml = 4000mg/200ml = 20mg/ml 96. The Obstetrician ordered 20ml of 20% MgSO4. The MgSO4 available in 50ml of 50%. How much volume in ml should the midwife add to NS to prepare the solution? • Percentage means amount in grams per 100ml of solution • 20% MgSO4 means 20grams MgSO4 in 100ml of solution • 50% means 50grams MgSO4 in 100ml of solution • Amount of MgSO4 used • Measure is weight Unit of measure mg g =20g/100ml × 20ml/1 = 400mg/100 = 4g • The volume MgSO4 containing 4g • Measure is volume Unit of measure ml ml = 100ml/50g × 4g/1 = 400ml/50 = 8ml 97. Doctor orders 300 mg of Zmax once a day for a child that weighs 72 lbs. The safe dose range for this medication is 10-12 mg/kg/day. Is this a safe dose for this patient? • Min dose • Measure is dose Unit of measure mg/day mg/day = 10mg/kg/day × 1kg/2.2Ib × 72Ib
  • 50. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 720mg/2.2day = 327.3mg/day • Max dose • Measure is dose Unit of measure mg/day mg/day = 12mg/kg/day × 1kg/2.2Ib × 72Ib = 864mg/2.2Ib = 392.7mg/day • Dosage range is 327.3 - 392.7mg/day which is less than 30mg • The dose of 300mg is not safe 98. Doctor orders Zithromax for a child that weighs 82 lbs. The safe dose range for this medication is 10-12 mg/kg/day. What is the maximum safe daily dose for this child? • Measure is dosage Unit of measure mg/day mg/day = 12mg/kg/days × 1kg/2.2Ib × 82Ib = 984mg/2.2day = 447.3mg/day 99. Obstetrician order Pitocin 5mU/min. The L & D protocol is 5unit of Pitocin in 500ml NS. At what rate should regulate the infusion pump in ml/hr to give 15drops/min of Pitocin solution to the patient? What is the drop factor of the giving set in drops/ml? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/5U × 1U/1000mU × 5mU/min × 60min/1hr = 150000ml/5000hr = 30ml/hr • Measure is drop factor Unit of measure is drops/ml drops/ml = 15drops/min × min/5mU × 1000mU/1U × 5U /500ml = 75000drops/2500ml = 30drops/ml
  • 51. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 100. Midwife administer Pitocin solution with infusion pump at 30ml/hr. The L & D protocol is 10unit in 500ml of D5W. The drip rate is 10drop/min. How much Pitocin was the patient receiving in mU/min? What is the drop factor in drops/ml? • Measure is dose Unit of measure mU/min mU/min = 1000mU/1U × 10U/500ml × 30ml/hr × 1hr/60mins = 300000mU/30000min = 10mU/min • Measure is drop factor Unit of measure is drops/min drops/ml = 10drops/min × 60min/hr × 1hr/30ml = 600drops/30ml = 20drops/ml 101. The midwife regulates infusion pump at 30ml/hr. The drip rate is 10drops/min if the patient is receiving 15mu/min of Pitocin. What is the concentration of the Pitocin solution in mU/ml? What is the drop factor of the given set in drops/ml? • Measure is concentration Unit of measure is mU/ml mU/ml = 15mU/min × 60min/1hr × 1hr/30ml = 900mU/30ml = 30mU/ml • Measure is drop Factor Unit of measure is drops/ml drops/ml = 10drops/min × 60min/1hr × 1hr/30ml = 600drops/30ml = 20drops/m 102. The Midwife regulates the Pitocin infusion at 100ml/hr. The drop factor is 10drops/ml. The patient is receiving 10mu/min of Pitocin. What is the drip rate in drops/min? What is the concentration of the Pitocin solution in mU/ml • Measure is dose
  • 52. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure is drops/min drops/min = 10drops/ml × 100ml/hr × 1hr/60min = 1000drops/60min = 16.7drops/min = 17drops/min • Measure is concentration Unit of measure mU/ml mU/ml = 10mU/min × 60min/hr × 1hr/100ml = 600mU = 6mU/ml 103. The midwife regulates the drip at 25drops/min so as to be administer 12.5mU/min if the drip factor is 20drops/ml what is the concentration of the Pitocin solution in mU/ml? What is the flow rate in ml/hr? • Measure is concentration Unit of measure is mU/ml mU/ml = 12.5mU/min × 1min/25drops × 20drops/ml = 250mU/25ml = 10mU/ml • Measure is the flow rate Unit of measure is ml/hr ml/hr = 1ml/20drops × 25drops/min × 60min/hr = 1500ml/20hr = 75ml/hr 104. A midwife regulated an infusion pump at 30ml/hr. The labour ward protocol 10unit of Pitocin in 500ml of D5W and drop factor is 15drops/ml. How much Pitocin is the patient receiving in mU/min? What is the drip rate in drops/min? • Measure is dose Unit of measure mU/min mU/min = 1000mU/1U × 10U/500ml × 30ml/hr × 1hr/60min = 300000mU/30000ml
  • 53. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 10mU/min • Measure is drip rate Unit of measure is drops/min drops/min = 15drops/ml × 30ml/hr × 1hr/60min = 450drops/60min = 7.5drops/min = 8drops/min 105. In active management of labour the obstetrician ordered Pitocin starting at 5mU/min. L & D protocol 10unit of Pitocin in 500ml NS and drop factor 20drops/ml. At what rate in drops/min should the nurse regulate the drip? What will be the flow rate in ml/hr? • Measure is drip rate Unit of measure is drops/min drops/min = 20drops/ml × 500ml/10U × 1U/1000mU × 5mU/min = 50000drops/10000min = 5drops/min • Measure is the flow rate Unit of measure is ml/hr ml/hr = 500ml/10U × 1U/1000mU × 5mU/min × 60min/hr = 150000ml/10000hr = 15ml/hr 106. Upon taking over of her shift duty the nurse discover Pitocin drip is regulated at 40drops/min. The drop factor is 15drops/min and L & D protocol is 20units Pitocin in 1000ml of D5W. How much Pitocin was the patient receiving in mU/min? What is the flow rate in ml/hr? • measure is dose Unit of measure is mU/min mU/min = 1000mU/1U × 20U/1000ml × 1ml/15drops × 40drops/min = 800000mU/15000min = 50mU/min • Measure is flow rate Unit of measure ml/hr
  • 54. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA ml/hr = 1ml/15drops × 40drops/min × 60min/hr = 2400ml/15hr = 160ml/hr 107. Physician ordered for post cesarean section patient was 40unit of Pitocin in 1000ml of NS to administer 30mU/min. how many drops should the nurse regulate the drip using the microdrip set? • Measure is drip rate Unit of measure drops/min drops/min = 60drops/ml × 1000ml/40U × 1U/1000mU × 30mU/min =1800000drops/40000min = 180drops/min 108. 40 units oxytocin in 1000ml lactated Ringers is infusing at 80mU/min. How many ml/hr is the patient receiving? • The measure is Flow rate Unit of measure is ml/hr ml/hr = 1000ml/40U × 1U/1000mu × 80mU/min × 60min/1hr = 4800000ml/40000min = 120ml/hr 109. The physician has ordered 500ml D5W with 10units IV oxytocin. Begin at 2mU/min and then increase by 1mU/min every 30minutes until regular uterine contractions begin. Maximum dose 30mU/min a. What is the IV flow rate for the beginning infusion? b. What is the IV drip rate for the maximum infusion using 20drop/ml giving set? • Measure is flow rate Unit of measure is ml/hr ml/hr = 500ml/10U × 1U/1000mU × 1mU/min × 60min/hr = 30000ml/10000hr = 3ml/hr • Measure is drip rate Unit of measure is drops/mins
  • 55. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA drops/min = 20drops/ml × 500ml/10U × 1U/1000mU × 30mU/min = 300000ml/10000min = 30ml/min 110. Physician Ordered 2mU/min. Pitocin available with 10units/ml. Protocol on L & D unit mix 2 vials per 1000ml NS. What should the nurse set the IV pump at? • 1 vial contains 10unit of oxytocin • Hence 2 vials will contain 20units • The measure is flow rate Unit of measure is ml/hr ml/hr = 1000ml/20U × 1U/1000mU × 2mU/min × 60min/hr = 120000ml/20000hr = 6ml/hr 111. Magnesium Sulphate 40grams in 1000ml lactated Ringers at a rate of 2g/hr. What is the pump rate? • The measure is flow rate Unit of measure is ml/hr ml/hr = 1000ml/40g × 2g/hr = 2000ml/40hr = 50ml/hr 112. Patient received 2ml of Buvipacaine as spinal anesthesia. The vial is 10mls of 0.5% buvipacaine. How many mg of buvipacaine was administered to the patient? • Measure is weight Unit of measure is mg mg = 1000mg/1g × 0.5g/100ml × 2ml = 1000mg/100 = 10mg • Note: % means grams per 100ml • Therefore 0.5% buvipacaine means 0.5g buvipacaine in 100ml of solution
  • 56. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 113. A patient has an order for regular insulin IV at a rate of 5 units/h. The concentration is insulin 100 units/100 mL 0.9% NS. At what rate, in drops per min should the drip set using the microdrip? • Measure is drip rate Unit of measure is drops/min drops/min = 60drops/ml × 100ml/100unit × 5unit/hr × 1hr/60min = 30000drops/6000mins = 5drops/min 114. A child weighs 22 lb. The physician prescribes ampicillin 100 to 200 mg/kg/ 24 h divided q6 h. Calculate the individual dose for ampicillin. • Measure is weight Unit of measure is mg/dose mg/dose = 200mg/kg/day ×1kg/2.2Ib × 22Ib × 1day/24hrs × 6hrs/dose = 26400mg/52.8doses = 500mg/dose 115. The obstetrician ordered to infuse Syntocinon at a rate of 30drops/min using a standard given set. The Syntocinon is available as 20units in 500ml of NS. How much Syntocinon is infuse into the patient in milliunit/min? How much is the rate of flow of solution into the patient in ml/hr? How long will it take for infusion to complete in hours? show the work to your answer • Measure is dose Unit of measure is milliunit/min milliunit/min = 1000milliunit/1unit × 20unit/500ml × 1ml/20drops × 30drops/min = 600000milliunit/10000min = 60milliunit/min • Measure is flow rate Unit of measure is ml/hr ml/hr = 1ml/20drops × 30drops/min × 60min/hr = 1800ml/20hr = 90ml/hr • Measure is time
  • 57. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure is hours hr = 1hr/60min × min/30drops × 20drops/ml × 500ml = 10000hr/1800 = 5.6hrs 116. Calculate the number of ova that can be fertilize by a single ejaculate. • Measure is amount Unit of measure zygote/ejaculate Zygote/ejaculate = zygote/1ovum × 1ovum/1sperm × 20000000sperm/1ml × 1.5ml/ejaculate = 35000000zygote/ejaculate = 35millionzygote/ejaculate 117. 20units oxytocin in 500ml Lactated Ringers is infusing at 45ml/hr. How many mU/min is the patient receiving? What would be the drip rate using microdrip? • Measure is dosage Unit of measure mU/min mU/min = 1000mU/1U × 20U/500ml × 45ml/hr × 1hr/60min = 900000mU/30000min = 30mU/min • Measure is drip rate Unit of measure drops/min drops/min = 60drops/1ml × 45ml/1hr × 1hr/60min = 2700drops/60min = 45drops/min 118. It is time to increase the oxytocin infusion to 5mU/min. If the infusion has 30 units oxytocin in 500ml Lactated Ringers, what will the pump rate be? • Measure is flow rate Unit of measure ml/hr
  • 58. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA ml/hr = 500ml/30U × 1U/1000mU × 5mU/min × 60min/hr = 150000ml/30000hr = 5ml/hr 119. Immediately after delivery, the provider ordered the nurse to bolus a patient with 10 units of Pitocin over 30 minutes. The pre-mixed infusion is 30 units of oxytocin in 500ml 0.9% NSS. What is the volume to be infused? • Measure is volume Unit of measure ml ml = 500ml/30U × 10U/1 = 5000ml/30 = 166.67ml 120. You are ordered to give misoprostol 25mcg for cervical ripening. The dosage strength in the tablet is 100mcg. Calculate the correct dosage for this med. • Measure is amount Unit of measure tablets tablet = 1tablet/100mcg × 25mcg/1 = 25tablet/100 = 1tablet/4 121. The nurse is initiating an oxytocin induction as ordered by the provider. The protocol at her hospital is to start the infusion at 1mU/min, and increase by 2mU/min every 60minutes until adequate labour is achieved. At what rate (ml/hr) will the nurse set the pump if the pre-mixed bag has 30 units of oxytocin in 500ml of LR? • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/30U × 1U/1000mU × 1mU/min × 60min/hr = 30000ml/30000hr = 1ml/hr
  • 59. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 122. The gynaecologist ordered methotrexate 50mg/m2 for medical treatment of unruptured ectopic pregnancy if the patient weighs 140Iband her height 5ft 8in. how much volume in ml of methotrexate will be administered. Methotrexate is available as 250mg in 20mls. • Measure is volume Unit of measure ml • 𝐵𝑆𝐴 = √ ℎ𝑡(𝑐𝑚)×𝑤𝑡 (𝑘𝑔) 3600 • Patient's height = 5ft 6in in = 12in/1ft × 5ft + 8in = 68in Patient's ht (cm) = 2.5cm/1in × 68in = 170cm Patient wt (kg) = 1kg/2.2lb × 140lb = 140kg/2.2 = 63.64kg • 𝐵𝑆𝐴 = √ 170𝑐𝑚 ×63.64𝑘𝑔 3600 = √ 10818.8 3600 = √3 = 1.73m2 ml = 20ml/250mg × 50mg/m2 × 1.73m2 /1 = 1730ml/250 = 6.92ml 123. Fertility specialist performs IUI for a couple with unexplained infertility using 1.2ml of wash semen. If the concentration is 60million sperm per ml. how many spermatozoa where infuse into the uterus. • Measure is amount Unit of measure spermatozoa Sperm = 80×106sperm/ml × 1.2ml/1 = 96×106sperm 124. 30YO lady undergoing ovarian stimulation is to receive follistim 150U/dose/day. How many units of follistim will the patient received if the cycle is last 13days. Each cartridge contains 300U and cost $350. How many cartridges will the patient use? How much money will the couple spend? • Measure is amount Unit of measure units U = 150U/dose/day × 1dose/1 × 13days/1 = 1950U/1 = 1950U • Measure is amount Unit of measure cartridge Cartridge = 1 cartridge/300U × 150U/dose/day × dose/1 × 13days/1
  • 60. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 1950cartridge/300 = 6.5cartridges = 7 cartridge Number of cartridges will be 7 because one cannot buy half cartridge • Measure is amount Unit of measure dollar $ = $350/300U × 150U/dose/day × dose/1 × 13days =$682500/300 = $2275 In reality the cost will be • Measure is amount Unit of measure is dollar $ = $350/1cartridge × 7cartridge/1 = $2450 125. Cisplatin is given as adjuvant for treatment of ovarian cancer. Gynaeocologist ordered 80mg/m2 /day. Patient weighs 95Ib and height 6ft 2in. Cisplatin is available as 100mg in 100ml. how many ml will the nurse withdrawn from the vial? How many mg should the patient be given? • Measure is volume Unit of measure milliliters • 𝐵𝑆𝐴 = √ ℎ𝑡(𝑐𝑚)×𝑤𝑡 (𝑘𝑔) 3600 • Patient's height = 6ft 2in in = 12in/1ft × 6ft + 2in = 74in Patient's ht (cm) = 2.5cm/1in × 74in = 185cm Patient wt (kg) = 1kg/2.2lb × 95lb = 95kg/2.2 = 43.18kg • 𝐵𝑆𝐴 = √ 185𝑐𝑚 ×43.18𝑘𝑔 3600 = √ 7988.3 3600 = √2.21 = 1.47m2 ml = 100ml/100mg × 80mg/m2 × 1.47m2 = 11760ml/100 = 117.6ml 126. Patient presented with diagnosis of persistent mole after evacuation of complete molar pregnancy 3moths ago. The doctor ordered cyclophosphamide 20mg to given over 6hrs. how many mcg/min will the patient if premix contains 150mg in 100ml. how much fluid will the patient receive? What would be the drip rate using microdip set to administer the medication? • Measure is dosage Unit of measure mcg/min mcg/min = 1000mcg/1mg × 20mg/6hrs × 1hr/60min = 20000mcg/360min
  • 61. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 55.6mcg/min • Measure is volume Unit of measure ml ml = 100ml/150mg × 20mg/1 = 2000ml/150 = 13.33ml = 13.3ml • measure is drip rate unit of measure drops/min microdrip set implies 60drops are delivered every milliliter given drops/min = 60drops/ml × 100ml/150mg × 20mg/6hrs × 1hr/60mins = 120000drops/54000min = 2.2drops/min = 2drops/min 127. You have ketamine 500mg in 5mL. You want to prepare a 10mL syringe with 10mg/mL. • Measure is weight Unit of measure mg mg = 10mg/ml × 10ml = 10mg/10 = 1ml • You add 9ml of diluent by withdrawing 1ml of ketamine solution into 10ml syringe and withdraw diluent up to 10ml mark 128. Epidural syringe preparation. Available: bupivacaine 0.25% (2.5 mg/mL), fentanyl 50mcg/mL, and sterile diluent. Desired: A 60mL syringe, containing 0.0625% (this is often called 1/16 %) bupivacaine with fentanyl 5mcg/mL. • Ketamine • Measures is weight Unit of measures mg mg = 1000mg/1g × 0.0625g/100ml × 60ml/1 = 3750mg/100 = 37.5mg • Measures is volume Unit of measures ml ml = ml/2.5mg × 37.5mg/1 = 37.5ml/2.5 = 15ml • Fentanyl Measures is weight Unit of measures mg mg = 1mg/1000mcg × 5mcg/ml × 60ml/1
  • 62. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 300mg/1000 = 0.3mg • Measures is volume Unit of measure ml ml = ml/50mcg × 1000mcg/1mg × 0.3mg/1 = 300ml/50 = 6ml • 15ml of ketamine is withdrawn into 60ml syringe then 6ml of fentanyl and finally the diluent upto 60ml mark 129. What is the dose mg/min of lidocaine (1 gm in 250 mL) running at 15 mL/hr? • Measures is dosage Unit of measure mg/min mg/min = 1000mg/1g × 1g/250ml × 15ml/1hr × 1hr/60min = 15000mg/15000min = 1mg/min 130. What rate should you set to deliver dopamine 3 mcg/kg/min for a patient who weighs 70kg? The dopamine concentration is 400mg/250mL. • Measures is flow rate Unit of measures ml/hr ml/hr = 250ml/400mg × 1mg/1000mcg × 3mcg/kg/min × 70kg/1 × 60min/hr = 3150000ml/400000hr = 7.875ml/hr = 7.9ml/hr 131. If you want to create a remifentanil infusion at the recommended adult dilution of 50 mcg/mL, and it is supplied as a vial containing 1 mg powder, how many mL of diluent should you add to the vial? • Measure is amounts Unit of measures ml ml = ml/50mcg × 1000mcg/1mg × 1mg/1 = 1000ml/50 = 20ml Diluent to be added is 20ml 132. Order: Morphine gr 1/10 Available: Morphine 10mg/mL How many mL will the nurse give? • Measure is volume Unit of measure ml One grain (gr) equals 60mg (64.79891mg) ml = ml/mg × 60mg/1gr × 1gr/10
  • 63. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 60ml/100 = 6ml 133. You have ephedrine 50mg in 1mL. You want to prepare a syringe with 10mg/mL. What size syringe should you use? • Measure is amount Unit of measures ml ml = ml/10mg × 50mg/1 = 50ml/10 = 5ml Size of syringe is 5ml 134. 32YO been investigated for tubal infertility via laparoscopy. The rate of CO2 insufflation was 1000ml/min. the surgery lasted for 3hrs. how much CO2 was insufflated into the patient's peritoneal cavity? • Measure is volume Unit of measure milliliters ml = 1000ml/min × 60min/1hr × 3hr/1 = 180000ml/1 = 180000ml 135. A woman is admitted to the labor room with a diagnosis of preterm labor. She states that she has not seen a physician because this is her third baby and she “knows what to do while she is pregnant.” Her initial workup indicates a gestational age of 32 weeks, and she tests positive for Chlamydia and Strep-B. Her vital signs are: T 100° F; P 98; R 18; B/P 140/88mmHg; and the fetal heart rate is 140–150. The orders include the following: ▪ NPO ▪ IV fluids: D5/RL 1,000 mL q8h ▪ Electronic fetal monitoring ▪ Vital signs q4h ▪ Dexamethasone 6 mg IM q12h for 2 doses ▪ Brethine (terbutaline sulfate) 0.25 mg subcutaneous q30 minutes for 2h ▪ Rocephin (ceftriaxone sodium) 250 mg IM stat ▪ Penicillin G 5 million units IVPB stat; then 2.5 million units q4h Zithromax (azithromycin) 500 mg IVPB stat and daily for 2 days a. Calculate the rate of flow for the D5/RL in mL/h. b. The label on the dexamethasone reads 8 mg/mL. How many milliliters will you administer? c. The label on the terbutaline reads 1 mg/ml. How many milliliters will you administer? d. The label on the ceftriaxone states to reconstitute the 1 g vial with 2.1 mL of sterile water for injection, which results in a strength of 350 mg/mL. How many milliliters will you administer? e. The instructions state to reconstitute the penicillin G (use the minimum amount of diluent), add to 100 mL D5W, and infuse in one hour. The drop factor is 10drops/ml. What is the rate of flow in gtts/min? The label on Penicillin G reads pfizerpen (penicillin
  • 64. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA G Potassium) for injection 5million units. Additional information 18.2ml diluent added gives 250 000units/ml, 8.2ml diluent added gives 500 000units/ml and 3.2ml diluent added gives 1 000 000units/ml of solution. f. The instructions for the azithromycin state to reconstitute the 500 mg vial with 4.8 mL until dissolved, and add to 250 mL of D5W and administer over at least 60 minutes. What rate will you set the infusion pump if you choose to administer the medication over 90 minutes? If drop factor is 15drops/ml, what is the drip rate? • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/8hr = 125ml/hr • Measure is volume Unit of measure milliliter ml = 1ml/8mg × 6mg/1 = 0.75ml/1 = 0.75ml • Measure is volume Unit of measure milliliter ml = 1ml/1mg × 0.25mg/1 = 0.25ml/1 = 0.25ml • Measure is volume Unit of measure milliliter ml = 1ml/350mg × 250mg/1 = 250ml/350 = 0.714ml = 0.7ml • Measure is drip rate Unit of measure drop/min drops/min = 10drops/ml × 100ml/1hr × 1hr/60min = 1000drops/60min = 16.67drops/min =17drops/min • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/90min × 60min/1hr = 15000ml/90hr =166.67ml/hr • Measure is drip rate
  • 65. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure drop/min ml/hr = 15drop/ml × 250ml/90min = 3750drops/90min = 41.67drops/min = 42drops/min 136. The patient continues to have uterine contractions, and a new order has been written: Magnesium sulfate 4g IV bolus over 20minutes, then 1g/h. The label on the vial of magnesium sulphate is 50% w/v and IV bag states magnesium sulfate 40g in 1,000ml. a. What is the rate of flow in mL/h for the bolus dose? If the drop factor is 20gtt/mL, determine the drip rate? b. What is the rate of flow in mL/h for the maintenance dose? If the drop factor is 60gtt/min, determine the flow rate in gtt/min? c. What volume of magnesium sulphate was infused as withdrawn for the bolus and how many mililitres of magnesium sulphate was place in the IV bag? • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/40g × 4g/30min × 60min/1hr = 240000ml/1200hr = 200ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 20drops/ml × 1000ml/40g × 4g/30min × 60min/1hr = 4800000drops/1200min = 4000drops/min • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/40g × 1g/hr = 1000ml/40hr = 25ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 60drops/ml × 1000ml/40g × 1g/hr × 1hr/60min = 60000drops/2400min = 25drops/min • measure is volume Unit of measure milliliter ml = 1000ml/40g × 4g/1
  • 66. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 4000ml/40 = 100ml • measure is volume Unit of measure milliliter 50% w/v means 50g of magnesium sulphate in 100ml of solution ml = 100ml/50g × 4g/1 = 400ml/50 = 8ml 137. The patient continues to have contractions and her membranes rupture. The following orders are written: ■ Discontinue the magnesium sulfate. ■ Pitocin (oxytocin) 10units/1,000ml RL, start at 0.5mIU/min increases by 1mU/min q20 minutes. ■ Stadol (butorphanol tartrate) 1mg IVP stat. a. What is the rate of flow in mL/h for the initial dose of Pitocin? The drop factor is 60mcgtt/ml. Calculate the flow rate in gtt/min b. The Pitocin is infusing at 9mL/h. How many mU/h is the patient receiving? Find the drip rate if the drop factor is 10gtt/mL? c. What would be the drip rate after 1hr of initiating Pitocin using drop factor of 15 d. The vial of butorphanol tartrate is labeled 2mg/ml. How many milliliters will you administer? • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/10unit × 1unit/1000mIU × 0.5mIU/min × 60min/1hr = 30000ml/10000hr = 3ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 60drops/ml × 1000ml/10unit × 1unit/1000mIU × 0.5mIU/1min = 30000drops/10000min = 3drops/min • Measure is dosage Unit of measure mU/hr mU/hr = 1000mU/1unit × 10unit/1000ml × 9ml/hr = 90000mU/1000hr = 90mU/hr • Measure is drip rate Unit of measure drop/min drops/min = 10drops/ml × 9ml/1hr × 1hr/60min
  • 67. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 90drops/60min = 1.5drops/min = 2drops/min • Measure is drip rate Unit of measure drop/min Starting dose 0.5mU/min Increment is 1mU every 20min Hence by 1hr there will be 3 increment and dose will be 3.5mU/min Unit of measure drop/min drops/min = 15drops/ml × 1000ml/10unit × 1unit/1000mU × 3.5mU/min = 52500drops/10000min = 5.25drops/min = 5drops/min • Measure is volume Unit of measure milliliter ml = 1ml/2mg × 1mg/1 = 1ml/2 = 0.5ml 138. Postpartum the woman developed postpartum haemorrhage. The following orders are written ■Massage uterus for contraction q15min, continuous monitoring vitals. ■Pitocin 20unit in 500ml NS, giving at 20miU/min ■Ergometrin 1mg IM stats ■Tablets Misoprostol 800mcg PR stats ■Transfuse 2units of whole blood over 6hours. a. What is the flow rate of the Pitocin drip? Using IV set of 20drops/ml at what drip rate would the nurse regular the drip? b. Label on the Ergometrin ampoule 0.5mg/ml. how many millileters will the nurse administer? c. Misoprostol packet label 200mcg/tablets. How many tablets should be inserted PR? d. A unit of blood has 400ml. if the blood giving set gives 15drops/ml what rate should the flow rate hence calculate the drip rate be regulated • Measure is flow rate Unit of measure ml/hr ml/hr = 500ml/20unit × 1unit/1000mIU × 20mIU/min × 60min/1hr = 600000ml/20000hr = 30ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 20drops/ml × 500ml/20unit × 1unit/1000mIU × 20mIU/1min = 200000drops/20000min = 10drops/min
  • 68. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is volume Unit of measure milliliter ml = 1ml/0.5mg × 1mg/1 = 1ml/0.5 = 2ml • Measure is amount Unit of measure tablets tablets = 1tablet/200mcg × 800mcg/1 = 800tablet/200 = 4tablets • Measure is flow rate Unit of measure ml/hr ml/hr = 400ml/1unit × 2unit/6hr = 800ml/6hr = 133.33ml/hr = 133.3ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 15drops/ml × 400ml/1unit × 2unit/6hr × 1hr/60min = 12000drops/360min = 33.33drops/min = 33drops/min 139. 3 days later patient develop fever chill rigors foul smelly vaginal discharge and uterine tenderness. Diagnosis of puerperal sepsis was made and the following order are written ■Tablets paracetamol 1g every 6hours ■IV Clindamycin 900mg every 8hours ■IV Gentamycin 1.5mg/kg every 8hours ■IV 500mlof NS over 30minutes then maintenance of 3liters over the next 24hrs a. Sachet of paracetamol has 250mg/tablet. How many tablets should the patient receive? b. Label on the clindamycin vial is 150mg/ml. how many milliters should the patient receive each dose? c. Gentamycin vial label 20mg/ml. the patient weighs 65kg. How many milligrams is the patient supposed to receive hence how many milliliter of gentamycin should be given to the patient for each dose? d. If the drop factor of the set is 15drops/ml. what is the flow rate for the maintenance. What should be the drip rate? If the patient weighs 75kg what should be appropriate maintenance fluid requirement?
  • 69. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA • Measure is amount Unit of measure tablets tablets = 1tablet/250mg × 1000mg/1g × 1g/1 = 1000tablets/250 = 4tablets • Measure is dosage Unit of measure milliliters/dose Ml/dose = 1ml/150mg × 900mg/dose = 900ml/150dose = 6ml/dose • Measure is weight Unit of measure mg mg = 1.5mg/1kg × 65kg/1 = 97.5mg • Measure is volume Unit of measure milliliter ml = 1ml/20mg × 1.5mg/1kg × 64kg/1 = 97.5ml/20 = 4.875ml = 4.9ml • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/1L × 3L/24hrs = 3000ml/24hr = 125ml/hr • Measure is drip rate Unit of measure drop/min drops/min = 15drops/ml × 1000ml/1L × 3L/24hr × 1hr/60min = 45000drops/1440min = 31.25drops/min = 31drops/min 140. A HIV + patient is admitted to the hospital for C-section delivery. The orders from the physician include: ▪ Admit to OB in private room ▪ NPO ▪ Up ad lib ▪ CBC and electrolytes ▪ Type and cross-match for 2units of blood ▪ Admission weight 164lb
  • 70. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA ▪ Lactated Ringers IV at 100ml/hr ▪ Zidovudine 2mg/kg IV over 1 hour on admission to labor and delivery then zidovudine 1mg/kg/hr continuous IV infusion beginning 3 hours prior to C-section ▪ Cefazolin 1g IVPB × 1 dose 1 hour prior to C-section ▪ Metoclopramide (Reglan) 10mg IV push every 6 hours prn for nausea and vomiting ▪ Hydrocodone 5mg and acetaminophen 325mg PO two tablets every 4 hours prn for moderate to severe pain ▪ Docusate sodium 100mg PO two capsules bid Identify the orders that require calculations. Set up and solve each problem using dimensional analysis. a. Calculate the weight of the patient in kilograms. b. Calculate how many mL/hr to set the IV pump to infuse zidovudine 2mg/kg over 1 hour. Supply: Zidovudine 200mg/50ml D5W. c. Calculate mL/hr to set the IV pump to infuse zidovudine 1mg/kg/hr. Supply: Zidovudine 400mg/100ml D5W. d. Calculate mL/hr to set the IV pump to infuse cefazolin 1g IV. Supply: Cefazolin (Ancef) 1000mg/100ml D5W to be administered over 30minutes. e. Calculate how many mL of metoclopramide 10mg will be given IV push over 2 minutes. Supply: Reglan 5mg/ml. • Measure is weight Unit of measure kilogram kg = 1kg/2.2lb × 164mg/1 = 164kg/2.2 = 74.5kg • Measure is flow rate Unit of measure ml/hr ml/hr = 50ml/200mg × 2mg/kg/1hr × 1kg/2.2lb × 164lb = 16400ml/440hr = 37.27ml/hr = 37.3ml/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/400mg × 1mg/kg/1hr × 1kg/2.2lb × 164lb = 16400ml/880hr = 18.64ml/hr = 18.6ml/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 100ml/1000mg/30min × 1000mg/1g × 1g/1 × 60min/1hr = 6000000ml/30000hr = 200ml/hr • Measure is volume Unit of measure milliliter
  • 71. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA ml = ml/5mg × 10mg = 10ml/5 = 2ml 141. A 14-year-old patient is admitted to the hospital with weight loss and dehydration secondary to hyperemesis gravidarum. The orders from the physician include: ▪ Bed rest with bathroom privileges ▪ Obtain weight daily ▪ Vital every 4h ▪ Test urine for ketones ▪ Urinalysis, complete blood count, electrolytes, liver enzymes, and bilirubin ▪ NPO for 48hr, then advance diet to clear liquid, full liquid, and as tolerated ▪ IV D5 1–2 NS at 150ml/hr for 8hr, then decrease to 100ml/hr ▪ Observe for signs of metabolic acidosis, jaundice, or hemorrhage ▪ Monitor intake and output ▪ Droperidol (Inapsine) 1mg IV every 4h prn for nausea ▪ Metoclopramide (Reglan) 20mg IV in 50l of D5W to infuse over 15min ▪ Diphenhydramine (Benadryl) 25mg IV every 3h prn for nausea ▪ Dexamethasone (Decadron) 4mg IV every 6h Identify the orders that require calculations. Set up and solve each problem using dimensional analysis. a. Calculate gtt/min using macrotubing (20gtt/mL) to infuse 150ml/hr, then 100mL/hr. b. Calculate how many mL of droperidol the patient will receive IV.Supply: 2.5mg/mL c. Calculate mL/hr to set the IV pump to infuse metoclopramide (Reglan) 20mg in 50mL of D5W to infuse over 15min. d. Calculate how many mL of diphenhydramine (Benadryl) the patient will receive IV. Supply: 1mg/mL. e. Calculate how many mL of dexamethasone (Decadron) the patient will receive IV Supply: 4mg/mL • Measure is drip rate Unit of measure drops/min drops/min = 20drops/ml × 150ml/hr × 1hr/60min = 3000drops/60min = 50drops/min • Measure is drip rate Unit of measure drops/min Drops/min = 20drops/ml × 100ml/hr × 1hr/60min = 2000drops/60min = 33.33drops/min = 33drops/min • Measure is volume Unit of measure milliliter ml = ml/2.5mg × 1mg/1
  • 72. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA = 1ml/2.5 = 0.4ml • Measure is flow rate Unit of measure ml/hr ml/hr = 50ml/15min × 60min/1hr = 3000ml/15hr = 200ml/hr • Measure is volume Unit of measure milliliter ml = ml/1mg × 25mg = 25ml • Measure is volume Unit of measure milliliter ml = ml/4mg × 4mg = 4ml/4 = 1ml 142. A nulliparous female is admitted to the hospital with pregnancy-induced hypertension. The orders from the physician include: ▪ Complete bed rest in left lateral position ▪ Insert Foley catheter and check hourly for protein and specific gravity ▪ Daily weight ▪ Methyldopa (Aldomet) 250 mg PO tid ▪ Hydralazine (Apresoline) 5 mg IV every 20 min for blood pressure over 160/100 ▪ Complete blood count, liver enzymes, chemistry panel, clotting studies, type and crossmatch, and urinalysis ▪ Magnesium sulfate 4 g in 250 mL D5LR loading dose to infuse over 30 min ▪ Magnesium sulfate 40 g in 1000 mL LR to infuse at 1 g/hr ▪ Keep calcium gluconate and intubation equipment at the bedside ▪ Nifedipine (Procardia) 10 mg sublingual for blood pressure over 160/100 and repeat in 15 min if needed. ▪ Keep lights dimmed and maintain a quiet environment ▪ Monitor blood pressure, pulse, and respiratory rate, fetal heart rate (FHR) contractions every 15 to 30 min, and deep tendon reflexes (DTR) hourly ▪ Monitor intake and output, proteinuria, presence of headache, visual disturbances, and epigastric pain hourly ▪ Restrict hourly fluid intake to 100 to 125mL/hr Identify the orders that require calculations. Set up and solve each problem using dimensional analysis. a. Calculate how many tablets of methyldopa (Aldomet) will be given PO. Supply: 500mg/tablet. b. Calculate how many mL of hydralazine (Apresoline) will be given IV. Supply: 20mg/mL c. Calculate mL/hr to set the IV pump to infuse magnesium sulfate 4 g in 250mL D5W loading dose to infuse over 30min.
  • 73. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA d. Calculate mL/hr to set the IV pump to infuse magnesium sulfate 40g in 1000mL LR to infuse at 1g/hr. e. Calculate how many capsules of nifedipine (Procardia) will be needed to give the sublingual dose. Supply: 10mg/capsule. • Measure is amount Unit of measure tablets tablets = 1tablets/500mg × 250mg = 250tablets/500 = 1/2tablets • Measure is volume Unit of measure milliliter ml = ml/20mg × 5mg/1 = 5ml/20 = 0.25ml • Measure is flow rate Unit of measure ml/hr ml/hr = 250ml/30min × 60min/1hr = 15000ml/30hr = 500ml/hr • Measure is flow rate Unit of measure ml/hr ml/hr = 1000ml/40g × 1g/hr = 1000ml/40hr = 25ml/hr • Measure is amount Unit of measure capsule capsule = 1capsule/10mg × 10mg = 10capsule/10 = 1capsule 143. D5 1/2 NS is infusing at 28 macrogtt/min. The drop factor is 10gtt/ml. How much fluid volume will the client receive in 8 hr and what is the flow rate? • Measure is volume Unit of measure ml 28Macrogtt/min implies that the IV set use gives 60drops (10, 15 20drops) for every milliliter infused ml = ml/10gtt x 28gtt/min x 60min/hr = 1680ml/10 = 168ml • Measure is flow rate Unit of measure ml/hr
  • 74. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA 28macrogtt/min implies that the IV set use gives 60drops (10, 15 20drops) for every milliliter infused ml/hr = ml/10gtt x 28gtt/min x 60min/hr = 1680ml/10 = 168ml/hr 144. Calculate the number of grams of NaCl and/or dextrose in the following solution: 0.5L of D5 1/4NS • D5 means dextrose 5% D5W NS means normal saline 0.9% NS Percentage (%) means percentage implies grams of solute in 100ml of solution 5% dextrose means 5g of dextrose in 100ml of dextrose solution Measure is amount of dextrose Unit of measure is grams g of dextrose g = 5g/100ml x 1000ml/1L x 0.5L/1 = 2500g/100 = 25g • 0.9% NS mean 0.9g of NaCl in 100ml of NaCl solution 1/4NS means quarter strength normal saline Quarter strength normal saline 0.9% is 0.225% NS Measure is amount of NaCl Unit of measure is grams g of NaCl g = 0.225g/100ml x 1000ml/1L x 0.5L/1 = 112.5g100 = 1.125g 145. Calculate the number of grams of NaCl and/or dextrose in the following solution: 250ml of D5 NS • D5W means dextrose 5% solution NS means normal saline 0.9% solution Percentage (%) means percentage which implies grams of solute in 100ml of solution Therefore 5% dextrose means 5g of dextrose in 100ml of dextrose solution 0.9% NS means 0.9g of NS in 100ml of NS solution Measure is amount of D5 in D5NS Unit of measure grams g of D5 g = 5g/100ml x 250ml/1 = 1250g/100 = 12.5g • Measure is amount of NaCl in D5NS
  • 75. DIMENSIONAL ANALYSIS OBGYN Dr MUSA MARENA Unit of measure is grams g of NaCl g = 0.9g/100ml x 250ml/1 = 225g/100 = 2.25g 146. Calculate the number of grams of NaCl and/or dextrose in the following solution: 500ml of 1/2NS • Measure is amount of NaCl in 1/2NS Unit of measure is grams g Normal saline NS is 0.9% concentration hence half strength normal saline 1/2NS is 0.45% Percentage % means grams of solute per 100ml of solution Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution g = 0.45g/100ml x 500ml/1 = 225g/100 = 2.25g 147. Calculate the number of grams of NaCl and/or dextrose in the following solution: 250ml of D5 NS • Measure is amount of NaCl in 1/2NS Unit of measure is grams g Normal saline NS is 0.9% concentration hence half strength normal saline 1/2NS is 0.45% Percentage % means grams of solute per 100ml of solution Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution g = 0.45g/100ml x 500ml/1 = 225g/100 = 2.25g 148. Calculate the number of grams of NaCl and/or dextrose in the following solution: 500ml of 1/2NS • Measure is amount of NaCl in 1/2NS Unit of measure is grams g Normal saline NS is 0.9% concentration hence half strength normal saline 1/2NS is 0.45% Percentage % means grams of solute per 100ml of solution Therefore 0.45% NS implies 0.45g of NaCl per 100ml of NaCl solution g = 0.45g/100ml x 500ml/1 = 225g/100 = 2.25g 149. A patient is prescribed Heparin 10,000units s.c. Stock strength available is 4000 units in 0.2mL. What is the volume in mL that the patient will receive? • Measure is volume Unit of measure ml ml = 0.2ml/4000units x 10000unit/1 = 2000ml/4000