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Sheet1this data is from problem 14.95 in the 11th edition
textbookT(deg)T(K)1/T (K^-1)ln kk300573.150.001744744-
24.16528521313.20E-11320593.150.0016859142-
20.72326583691.00E-09340613.150.0016309223-
17.32206845533.00E-08355628.150.0015919764-
15.24262691362.40E-07how to plot in Excel to get the info
needed to calculate the activation energy1. make the table
above with your data - you will have to input your rate
constants as the k values and your T values in degrees C- write
the formulas as shown in the cells - if you click on the box, the
formula will display- names for cells are 'column row' so this
cell you are now reading would be alled A122. select cells that
are light blue and click on the chart button (excel wants data in
two columns, left column is x and right column is y)3. select
XY scatter, click next twice to get the the options box4. fill in
chart options with title inluding your name, x axis name as 1/T
(K^-1), y axix name as ln(k)5. click next until this box closes
and you see your plot like the one above (exept with your
data)6. left click on a data point to select the data series, then
right click on the data point to get the menu7. choose 'add
trendline' (type is linear, under options click to add the
trendline and R squared correlation to the chart)8. now use
your trendline to calculate the activation energy from the slope
of the line
Sheet1
1/T (K^-1)
ln (k)
carney's graph
Sheet2
Sheet3
Experiment 2 Decomposition
of Hydrogen Peroxide
The decomposition of hydrogen peroxide in aqueous solution
proceeds very slowly. A bottle of
3% hydrogen peroxide sitting on a grocery store shelf is stable
for a long period of time. The
decomposition takes place according to the reaction below.
2 H2O2(aq) → 2 H2O + O2(g)
A number of catalysts can be used to speed up this reaction,
including potassium iodide,
manganese (IV) oxide, and the enzyme catalase. If you conduct
the catalyzed decomposition of
hydrogen peroxide in a closed vessel, you will be able to
determine the reaction rate as a function
of the pressure increase in the vessel that is caused by the
production of oxygen gas. If you vary
the initial molar concentration of the H2O2 solution, the rate
law for the reaction can also be
determined. Finally, by conducting the reaction at different
temperatures, the activation energy,
Ea, can be calculated.
OBJECTIVES
In this experiment, you will
· Conduct the catalyzed decomposition of hydrogen peroxide
under various conditions.
· Calculate the average rate constant for the reaction at room
temperature.
· Determine the rate law expression for the reaction.
· Calculate the activation energy for the reaction.
The rate law for this reaction can be determined using the
observed rates of reactions from a
series of different experiments. The concentration of one
reactant is held constant between two
different experiments, acting as the control, while the
concentration of the second reactant is
different between the two experiments. The rate of reaction is
measured in each experiment so
the impact of changing the concentration of the second reactant
can be determined. The order of
the reaction with respect to each reactant is determined in this
fashion and once the order of each
reactant is know the rate law can then be written.
(A) Sample Exercise for Determining Reaction Order
Consider the following reaction: (CH3)3CBr(aq) + OH-(aq) →
(CH3)3COH(aq) + Br-(aq)
A series of experiments is carried out with the following
results:
Exp 1 Exp 2 Exp 3 Exp 4 Exp 5
[(CH3)3CBr] 0.50 1.0 1.5 1.0 1.0
[OH-] 0.050 0.050 0.050 0.10 0.20
Rate (M/s) 0.0050 0.010 0.015 0.010 0.040
Find the order of the reaction with respect to both (CH3)3CBr
and OH-.
Advanced Chemistry with Vernier 1
2 Advanced Chemistry with Vernier
To find the order of the reaction with respect to (CH3)3CBr,
choose two experiments, 1 and 3 for
example, where [OH-] is constant. A similar approach can be
used to find the order of the
reaction with respect to OH-, comparing experiments 2 and 5,
where [(CH3)3CBr]
(1) Order with Respect to (CH3)3CBr:
Rate exp 3 = k([(CH3)3CBr]exp3)m ([OH-]exp3)n
Rate exp 1 k([(CH3)3CBr]exp1)m ([OH-]exp1)n
0.015 M/s = k([1.5 M])m (0.050 M)n simplifies to: 3.0 =
(3.0)m
0.0050 M/s k([0.50 M])m (0.050 M)n
Using the natural log applied to both sides and solving for “m”
Ln 3.0 = (Ln 3.0) (m) (Ln 3.0) / (Ln 3.0) = 1.10 / 1.10 = 1 = m
Since “m” = 1 the reaction is first order with respect to
(CH3)3CBr.
(2) Order with Respect to [OH-]:
Rate exp 5 = k([(CH3)3CBr]exp5)m ([OH-]exp5)n
Rate exp 4 k([(CH3)3CBr]exp2)m ([OH-]exp2)n
0.040 M/s = k([1.0 M])m (0.20 M)n simplifies to: 4.0 =
(2.0)n
0.010 M/s k([1.0 M])m (0.10 M)n
Using the natural log applied to both sides and solving for “m”
Ln 4.0 = (Ln 2.0) (m) (Ln 4.0) / (Ln 2.0) = 1.39 / 0.69 = 2.01 =
n
Since “n” = 2 the reaction is second order with respect to
(CH3)3CBr.
Now that the order of the reaction for each reactant has been
determined the rate law can be
written for this equation:
Rate = k [(CH3)3CBr] [OH-]2
(B) Sample Exercise for Determining Molarity of a Diluted
Solution
When two solutions are mixed in an experiment the total volume
of the solutions is increased and
the concentration of each solution is diluted. Recall:
Moles solute before dilution = moles solute after dilution
so; (Molarity)conc x (Volume) conc = (Molarity)dil x
(Volume)dil
The Decomposition of Hydrogen Peroxide
Advanced Chemistry with Vernier 3
What is the concentration of each compound when 6.0 mL of a
0.60 M solution of H2O2 is mixed
with 2.0 mL of a 0.25 M potassium iodide solution?
(1) First consider the total volume of the solution after mixing:
6.0 mL H2O2 + 2.0 mL KI = 8.0 mL total volume of diluted
solution
(2) Determine the concentration of H2O2 after mixing:
[0.75 M]conc x (6.0 mL) conc = [H2O2]dil x (8.0 mL)dil
(0.60 M)(6.0 mL) / (8.0 mL) = 0.45 M = [H2O2]dil
(3) Determine the concentration of KI after mixing:
[0.25 M]conc x (2.0 mL) conc = [H2O2]dil x (8.0 mL)dil
(0.40 M)(2.0 mL) / (8.0 mL) = 0.10 M = [KI]dil
The concentration of the H2O2 decreased from 0.60 M to 0.45
M and the concentration of KI
decreased from 0.25 M to 0.10 M after the two solutions are
mixed. The solutions will be
diluted as the reactions begin so be sure to use the diluted
concentrations of each reactant when
determining the reaction orders or rate constants.
(C) Sample Exercise for Converting Pressure Rate Data to
Molarity Units
The data rate recorded in this experiment is in kilopascals per
second (kPa/s). Since pressure is a
unit of concentration in the gas phase it can be used to
determine rate when the change of
pressure is measured over the change in time. However, in this
experiment the reactants are in
the aqueous phase and the concentration unit for the solutions is
in molarity (M). kPa/s can be
converted to M/s by using a derivation from the ideal gas law:
Molarity = P / RT
In which P = kPa/s, R = 8.314 L * kPa / K*mol (one of ideal gas
constants), and T = temperature
on Kelvin.
In one experiment the rate of O2 production was 0.22 kPa/s
when the temperature of the water
bath was 19.0 oC. What is this rate in M/s?
Molarity = (0.22 kPa/s) / (8.314 L*kPa/K*mol)(292.0 K) =
(0.22 kPa / 2.43 x 103 L*kPa / mol)
Molarity = 9.05 x 10-5 M/s
The units kPa and Kelvin cancel leaving mol/L*s or M/s.
(D) Sample Exercise for Converting Percent

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Sheet1this data is from problem 14.95 in the 11th edition textbook.docx

  • 1. Sheet1this data is from problem 14.95 in the 11th edition textbookT(deg)T(K)1/T (K^-1)ln kk300573.150.001744744- 24.16528521313.20E-11320593.150.0016859142- 20.72326583691.00E-09340613.150.0016309223- 17.32206845533.00E-08355628.150.0015919764- 15.24262691362.40E-07how to plot in Excel to get the info needed to calculate the activation energy1. make the table above with your data - you will have to input your rate constants as the k values and your T values in degrees C- write the formulas as shown in the cells - if you click on the box, the formula will display- names for cells are 'column row' so this cell you are now reading would be alled A122. select cells that are light blue and click on the chart button (excel wants data in two columns, left column is x and right column is y)3. select XY scatter, click next twice to get the the options box4. fill in chart options with title inluding your name, x axis name as 1/T (K^-1), y axix name as ln(k)5. click next until this box closes and you see your plot like the one above (exept with your data)6. left click on a data point to select the data series, then right click on the data point to get the menu7. choose 'add trendline' (type is linear, under options click to add the trendline and R squared correlation to the chart)8. now use your trendline to calculate the activation energy from the slope of the line Sheet1 1/T (K^-1) ln (k) carney's graph Sheet2 Sheet3 Experiment 2 Decomposition
  • 2. of Hydrogen Peroxide The decomposition of hydrogen peroxide in aqueous solution proceeds very slowly. A bottle of 3% hydrogen peroxide sitting on a grocery store shelf is stable for a long period of time. The decomposition takes place according to the reaction below. 2 H2O2(aq) → 2 H2O + O2(g) A number of catalysts can be used to speed up this reaction, including potassium iodide, manganese (IV) oxide, and the enzyme catalase. If you conduct the catalyzed decomposition of hydrogen peroxide in a closed vessel, you will be able to determine the reaction rate as a function of the pressure increase in the vessel that is caused by the production of oxygen gas. If you vary the initial molar concentration of the H2O2 solution, the rate law for the reaction can also be determined. Finally, by conducting the reaction at different temperatures, the activation energy, Ea, can be calculated. OBJECTIVES In this experiment, you will · Conduct the catalyzed decomposition of hydrogen peroxide under various conditions. · Calculate the average rate constant for the reaction at room temperature. · Determine the rate law expression for the reaction. · Calculate the activation energy for the reaction. The rate law for this reaction can be determined using the observed rates of reactions from a
  • 3. series of different experiments. The concentration of one reactant is held constant between two different experiments, acting as the control, while the concentration of the second reactant is different between the two experiments. The rate of reaction is measured in each experiment so the impact of changing the concentration of the second reactant can be determined. The order of the reaction with respect to each reactant is determined in this fashion and once the order of each reactant is know the rate law can then be written. (A) Sample Exercise for Determining Reaction Order Consider the following reaction: (CH3)3CBr(aq) + OH-(aq) → (CH3)3COH(aq) + Br-(aq) A series of experiments is carried out with the following results: Exp 1 Exp 2 Exp 3 Exp 4 Exp 5 [(CH3)3CBr] 0.50 1.0 1.5 1.0 1.0 [OH-] 0.050 0.050 0.050 0.10 0.20 Rate (M/s) 0.0050 0.010 0.015 0.010 0.040 Find the order of the reaction with respect to both (CH3)3CBr and OH-. Advanced Chemistry with Vernier 1 2 Advanced Chemistry with Vernier
  • 4. To find the order of the reaction with respect to (CH3)3CBr, choose two experiments, 1 and 3 for example, where [OH-] is constant. A similar approach can be used to find the order of the reaction with respect to OH-, comparing experiments 2 and 5, where [(CH3)3CBr] (1) Order with Respect to (CH3)3CBr: Rate exp 3 = k([(CH3)3CBr]exp3)m ([OH-]exp3)n Rate exp 1 k([(CH3)3CBr]exp1)m ([OH-]exp1)n 0.015 M/s = k([1.5 M])m (0.050 M)n simplifies to: 3.0 = (3.0)m 0.0050 M/s k([0.50 M])m (0.050 M)n Using the natural log applied to both sides and solving for “m” Ln 3.0 = (Ln 3.0) (m) (Ln 3.0) / (Ln 3.0) = 1.10 / 1.10 = 1 = m Since “m” = 1 the reaction is first order with respect to (CH3)3CBr. (2) Order with Respect to [OH-]: Rate exp 5 = k([(CH3)3CBr]exp5)m ([OH-]exp5)n Rate exp 4 k([(CH3)3CBr]exp2)m ([OH-]exp2)n 0.040 M/s = k([1.0 M])m (0.20 M)n simplifies to: 4.0 = (2.0)n 0.010 M/s k([1.0 M])m (0.10 M)n Using the natural log applied to both sides and solving for “m” Ln 4.0 = (Ln 2.0) (m) (Ln 4.0) / (Ln 2.0) = 1.39 / 0.69 = 2.01 = n
  • 5. Since “n” = 2 the reaction is second order with respect to (CH3)3CBr. Now that the order of the reaction for each reactant has been determined the rate law can be written for this equation: Rate = k [(CH3)3CBr] [OH-]2 (B) Sample Exercise for Determining Molarity of a Diluted Solution When two solutions are mixed in an experiment the total volume of the solutions is increased and the concentration of each solution is diluted. Recall: Moles solute before dilution = moles solute after dilution so; (Molarity)conc x (Volume) conc = (Molarity)dil x (Volume)dil The Decomposition of Hydrogen Peroxide Advanced Chemistry with Vernier 3
  • 6. What is the concentration of each compound when 6.0 mL of a 0.60 M solution of H2O2 is mixed with 2.0 mL of a 0.25 M potassium iodide solution? (1) First consider the total volume of the solution after mixing: 6.0 mL H2O2 + 2.0 mL KI = 8.0 mL total volume of diluted solution (2) Determine the concentration of H2O2 after mixing: [0.75 M]conc x (6.0 mL) conc = [H2O2]dil x (8.0 mL)dil (0.60 M)(6.0 mL) / (8.0 mL) = 0.45 M = [H2O2]dil (3) Determine the concentration of KI after mixing: [0.25 M]conc x (2.0 mL) conc = [H2O2]dil x (8.0 mL)dil (0.40 M)(2.0 mL) / (8.0 mL) = 0.10 M = [KI]dil The concentration of the H2O2 decreased from 0.60 M to 0.45
  • 7. M and the concentration of KI decreased from 0.25 M to 0.10 M after the two solutions are mixed. The solutions will be diluted as the reactions begin so be sure to use the diluted concentrations of each reactant when determining the reaction orders or rate constants. (C) Sample Exercise for Converting Pressure Rate Data to Molarity Units The data rate recorded in this experiment is in kilopascals per second (kPa/s). Since pressure is a unit of concentration in the gas phase it can be used to determine rate when the change of pressure is measured over the change in time. However, in this experiment the reactants are in the aqueous phase and the concentration unit for the solutions is in molarity (M). kPa/s can be converted to M/s by using a derivation from the ideal gas law: Molarity = P / RT In which P = kPa/s, R = 8.314 L * kPa / K*mol (one of ideal gas constants), and T = temperature on Kelvin.
  • 8. In one experiment the rate of O2 production was 0.22 kPa/s when the temperature of the water bath was 19.0 oC. What is this rate in M/s? Molarity = (0.22 kPa/s) / (8.314 L*kPa/K*mol)(292.0 K) = (0.22 kPa / 2.43 x 103 L*kPa / mol) Molarity = 9.05 x 10-5 M/s The units kPa and Kelvin cancel leaving mol/L*s or M/s. (D) Sample Exercise for Converting Percent