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Stoichiometry

CHEMISTRY CHAPTER 11
Main Ideas

 The amount of each reactant present at the start of a
  chemical reaction determines how much product can
  form.
 The solution to every stoichiometric problem
  requires a balanced chemical equation.
 Percent yield is a measure of the efficiency of a
  chemical reaction.
10.1 Defining Stoichiometry:
         Objectives

  •Describe  the types of relationships
  indicated by a balanced chemical
  equation.
  •State the mole ratios from a balanced
  chemical equation.
Stoichiometry

Stoichiometry is the study of quantitative relationships
  between the amounts of products formed by a
  chemical reaction.
 Based on the law of conservation of mass.
 Mass of the reactants must equal the mass of the
  products.
 Molecules are not necessarily balanced on each side.
  Atoms, moles and mass do.
Practice Problem #1

         C3H8(g) + 5O2(g)  3CO2 + 4H2O(g)

Moles:




Mass:




         Molecules are not necessarily balanced on each side. Atoms, moles and mass do.
Mole Ratio

Mole ratio is a ratio between the numbers of moles of
  any two substances in a balanced chemical equation.
 The number of mole ratios that can be written for
  any equation is (n)x(n-1) where n is the number of
  substances in the chemical reaction.
Practice Problem #2

               4Al(s) + 3O2(g)  2Al2O3(s)

Mole Ratios:




        3Fe(s) + 4H2O(l)  Fe3O4 + 4H2(g)


Mole Ratios:
Practice Problem #2

               2HgO(s)  2Hg(l) + O2(g)

Mole Ratios:
Question

Which of the following is a correct mole ratio for the
  following equation?
2Al(s) + 3Br2(l) → 2AlBr3(s)
A. 2 mol Al : 3 mol Br
B. 3 mol Br2 : 2 mol Al
C. 2 mol AlBr3 : 1 mol Br2
D. 2 mol Br : 2 mol Al
Question

How many mole ratios can be written for the following
  reaction?
4H2(g) + O2(g) → 2H2O(l)
A. 6
B. 4
C. 3
D. 2
Practice Problems

 Page 371 #1 and 2
 Page 372 #4,5,6,9
10.2 Stoichiometric Calculations
           Objectives

    •Listthe sequence of steps used in
    solving stoichiometric problems.
    •Solve stoichiometric problems.
Steps to Solving Stoichiometric Problems

1. Write a balanced equation
2. Determine the starting point of the calculations.
     1.   If units are mass units, convert to moles.
3. Use the correct reaction molar ratio to convert to
   moles of substance in question.
4. Convert moles to requested units if needed.
Steps to Solving Stoichiometric Problems
Practice Problem #3: Moles to Moles

When burning propane (C3H8), carbon dioxide is
 produced. How many moles of CO2 are produced
 when 10.0 mol of C3H8 are burned in excess oxygen?
Practice Problem #3: Moles to Moles

Calculate the moles of CS2 and H2S produced when 1.5
 mol S8 is used?
      CH4(g) +    S8(s)  CS2(l) + H2S(g)
Practice Problem #3: Moles to Moles

Sulfuric acid (H2SO4) is formed when sulfur dioxide
 (SO2) reacts with oxygen and water. How many
 moles of H2SO4 are produced from 12.5 moles of
 SO2? How many moles of O2 are needed?
Practice Problem #4: Moles to Mass

Sodium chloride is decomposed into the elements
 sodium and chlorine. How much chlorine gas, in
 grams is obtained when 2.50 mol of sodium choride
 are used?
Practice Problem #5: Mass to Mass

Acid rain (H2SO4) is formed from SO2, O2 and H2O. If
 2.5g of SO2 reacts with excess oxygen and water, how
 much H2SO4 is produced?
Questions

How many moles of CO2 will be produced in the
  following reaction if the initial amount of reactants
  was 0.50 moles?
2NaHCO3 → Na2CO + CO2 + H2O
A. 0.25
B. 0.3
C. 0.5
D. 1.0
Questions

A chemical reaction equation must be ____ in order
  to make stoichiometric calculations.
A. measured
B. controlled
C. balanced
D. produced
Practice Problems

 Page 393 #61-63
10.3 Limiting Reactant
      Objectives

•Identify the limiting reactant in a
chemical equation.
•Identify the excess reactant, and calculate
the amount remaining after the reaction is
complete.
•Calculate the mass of a product when the
amounts of more than one reactant are
given.
Limiting Reactant

The limiting reactant limits the extent of the
  reaction.
 Determine the amount of product formed.
 A portion of all the other reactants remains after the
  reaction stops.

Excess reactants are the reactants leftover when a
 reaction stops.
Example

         Supplies                 First Aid Kits


 500 bandaids              24 bandaids
 85 gauze rolls            4 gauze rolls
 24 first aid ointments    1 first aid ointment
 24 burn sprays            1 burn spray
 65 rolls of tape          3 rolls of tape
 50 ace bandages           2 ace bandages
Steps to Determining the Limiting Reactant

1. Determine moles of reactants.
2. Use mole ratios to determine which reactant is
   limiting.
3. Analyze the excess reactant
     1.   Moles reacted
     2.   Mass reacted
     3.   Excess remaining
Practice Problem #6

If 200.0g of sulfur reacts with 100.0g of chlorine, what
  mass of disulfur dichloride is produced?
            S8(l) + 4Cl2(g)  4S2Cl2(l)
Questions

The mass of the final product in a chemical reaction is
  based on what?
A. the amount of excess reactant
B. the amount of limiting reactant
C. the presence of a catalyst
D. the amount of O2 present
Questions

What is the excess reactant in the following reaction if
  you start with 50.0g of each reactant?
P4(s) + 5O2(g) → P4O10(s)
A. O2
B. P4
C. Both are equal.
D. unable to determine
Practice Problems

 page 383 #23-24
10.4 Percent Yield
       Objectives

•Calculatethe theoretical yield of a
chemical reaction from data.
•Determine the percent yield for a
chemical equation.
Theoretical Yield

Theoretical yield is the maximum amount of product
  that can be produced from a given amount of
  reactant.
 Assumes that the reaction goes to completion in the
  forward direction.
Actual Yield

Actual yield is the amount of product produced when
 the chemical reaction is carried out in an
 experiment.
Percent Yield

Percent yield is the ratio of the actual yield expressed
  as a percent.
 Represents how efficient a reaction is in producing
  the desired product
 Percent yield = (actual yield/theoretical yield) x 100



                 actual yield(exp erimental)
       %yield =                               x100%
                theoretical yield(calculated)
Practice Problem #7

Solid silver chromate (AgCrO4) forms when potassium
 chromate (K2CrO4) is added to a solution containing
 .500g of silver nitrate (AgNO3). Determine the
 theoretical yield of Ag2CrO4. Calculate the percent
 yield if the reaction yields .455g of Ag2CrO4.
Practice Problem #7

 AgNO3 + K2CrO4  Ag2CrO4 +             ;
.500g AgNO3, theoretical yield of Ag2CrO4?
percent yield? .455g of Ag2CrO4
Questions

The amount of product that can be produced from a
  given amount of reactants based on stoichiometric
  calculations is:
A. actual yield
B. percent yield
C. theoretical yield
D. stoichiometric yield
Questions

You calculate the theoretical yield of a chemical
  reaction starting with 50.0g of reactant is 25.0g of
  product. What is the percent yield if the actual yield
  is 22.0g of product?
A. 88%
B. 44%
C. 50%
D. 97%
Practice Problems

 page 387 #28-30
10.4 Accumulating Content

  •Apply knowledge and skills from
  previous units to content learned in
  this unit.
Practice Problem #8

When an antacid tablet dissolves in water, the fizz is
due to a reaction between sodium hydrogen carbonate
(baking soda), also called sodium bicarbonate, and
citric acid (H3C6H5O7). What are the masses of the
products if there is 1.00 gram of each reactant in the
tablet. Use the net ionic equation to solve this
problem.
What is the percent yield if only 1.25g of gas was
produced? How does this affect the resulting mass of
your other product?
Practice Problem #8

sodium bicarbonate, and citric acid (H3C6H5O7).
What are the masses of the products if there is 1.00
gram of each reactant in the tablet.
Use the net ionic equation to solve this problem.
Practice Problem #8

What is the percent yield if only 1.25g of gas was
produced? How does this affect the resulting mass of
your other product?
Study Guide

 KEY CONCEPTS
Key Concepts

 Balanced chemical equations can be interpreted in
  terms of moles, mass, and representative particles
  (atoms, molecules, formula units).
 The law of conservation of mass applies to all
   chemical reactions.
 Mole ratios are derived from the coefficients of a
   balanced chemical equation. Each mole ratio
   relates the number of moles of one reactant or
   product to the number of moles of another
   reactant or product in the chemical reaction.
Key Concepts

 Chemists use stoichiometric calculations to predict
  the amounts of reactants used and products
  formed in specific reactions.
 The first step in solving stoichiometric problems is
  writing the balanced chemical equation.
 Mole ratios derived from the balanced chemical
  equation are used in stoichiometric calculations.
 Stoichiometric problems make use of mole ratios
  to convert between mass and moles.
Key Concepts

 The limiting reactant is the reactant that is completely
  consumed during a chemical reaction. Reactants that
  remain after the reaction stops are called excess
  reactants.
 To determine the limiting reactant, the actual mole
  ratio of the available reactants must be compared with
  the ratio of the reactants obtained from the
  coefficients in the balanced chemical equation.
 Stoichiometric calculations must be based on the
  limiting reactant.
Key Concepts

 The theoretical yield of a chemical reaction is the
  maximum amount of product that can be
  produced from a given amount of reactant.
  Theoretical yield is calculated from the balanced
  chemical equation.
 The actual yield is the amount of product
  produced. Actual yield must be obtained through
  experimentation
Key Concepts

 Percent yield is the ratio of actual yield to
  theoretical yield expressed as a percent. High
  percent yield is important in reducing the cost of
  every product produced through chemical
  processes.
Questions

What law are all stoichiometric calculations based on?
A. law of definite proportions
B. law of conservation of mass
C. law of conservation of energy
D. none of the above
Questions

The mole ratios can be determined only if what?
A. all the reactants are present in
   equal amounts
B. the reactants do not have
   coefficients
C. the products do not have
   coefficients
D. the equation is balanced
Questions

If the following reaction yields 5 mol NaAu(CN)2, how
  many moles of Au were present as reactants?
  (Assume all other reactants are in excess).
  4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) →
  4NaAu(CN)2(aq) + 4NaOH(aq)
A. 1
B. 4
C. 5
D. 20
Questions

In the following reaction, how many moles of NaCN
  are required to react with
  5 mol of Au?
  4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) →
  4NaAu(CN)2(aq) + 4NaOH(aq)
A. 3
B. 5
C. 8
D. 10
Questions

In the following reaction, what mass of NaOH is
  produced if 5.0 moles of NaAu are also produced in
  the reaction?
  4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) →
  4NaAu(CN)2(aq) + 4NaOH(aq)
A. 20 g
B. 50 g
C. 200 g
D. 400 g
Questions

The SI base unit of amount is ____.
A. the gram
B. the kilogram
C. the mole
D. Avogadro’s number
Questions

Zinc reacts with iodine in a synthesis reaction: Zn + I2
   Znl2. What is the theoretical yield of Znl2, if 1.912
  mol of zinc is used?
A. 6.103 g
B. 61.03 g
C. 610.3 g
D. 0.6103 g
Questions

In a chemical reaction, the statement that matter is
  neither created nor destroyed is based on what?
A. mole ratio
B. law of conservation of mass
C. Avogadro’s number
D. law of definite proportions
Questions

Which is not a product that must be produced in a
  double replacement reaction?
A. water
B. heat
C. precipitates
D. gases
Questions

The ____ is the maximum amount of product that can
  be produced from a given amount of reactant.
A. theoretical yield
B. actual yield
C. limiting reactant
D. excess reactant

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Chem unit 10 presentation

  • 2. Main Ideas  The amount of each reactant present at the start of a chemical reaction determines how much product can form.  The solution to every stoichiometric problem requires a balanced chemical equation.  Percent yield is a measure of the efficiency of a chemical reaction.
  • 3. 10.1 Defining Stoichiometry: Objectives •Describe the types of relationships indicated by a balanced chemical equation. •State the mole ratios from a balanced chemical equation.
  • 4. Stoichiometry Stoichiometry is the study of quantitative relationships between the amounts of products formed by a chemical reaction.  Based on the law of conservation of mass.  Mass of the reactants must equal the mass of the products.  Molecules are not necessarily balanced on each side. Atoms, moles and mass do.
  • 5. Practice Problem #1 C3H8(g) + 5O2(g)  3CO2 + 4H2O(g) Moles: Mass: Molecules are not necessarily balanced on each side. Atoms, moles and mass do.
  • 6. Mole Ratio Mole ratio is a ratio between the numbers of moles of any two substances in a balanced chemical equation.  The number of mole ratios that can be written for any equation is (n)x(n-1) where n is the number of substances in the chemical reaction.
  • 7. Practice Problem #2 4Al(s) + 3O2(g)  2Al2O3(s) Mole Ratios: 3Fe(s) + 4H2O(l)  Fe3O4 + 4H2(g) Mole Ratios:
  • 8. Practice Problem #2 2HgO(s)  2Hg(l) + O2(g) Mole Ratios:
  • 9. Question Which of the following is a correct mole ratio for the following equation? 2Al(s) + 3Br2(l) → 2AlBr3(s) A. 2 mol Al : 3 mol Br B. 3 mol Br2 : 2 mol Al C. 2 mol AlBr3 : 1 mol Br2 D. 2 mol Br : 2 mol Al
  • 10. Question How many mole ratios can be written for the following reaction? 4H2(g) + O2(g) → 2H2O(l) A. 6 B. 4 C. 3 D. 2
  • 11. Practice Problems  Page 371 #1 and 2  Page 372 #4,5,6,9
  • 12. 10.2 Stoichiometric Calculations Objectives •Listthe sequence of steps used in solving stoichiometric problems. •Solve stoichiometric problems.
  • 13. Steps to Solving Stoichiometric Problems 1. Write a balanced equation 2. Determine the starting point of the calculations. 1. If units are mass units, convert to moles. 3. Use the correct reaction molar ratio to convert to moles of substance in question. 4. Convert moles to requested units if needed.
  • 14. Steps to Solving Stoichiometric Problems
  • 15. Practice Problem #3: Moles to Moles When burning propane (C3H8), carbon dioxide is produced. How many moles of CO2 are produced when 10.0 mol of C3H8 are burned in excess oxygen?
  • 16. Practice Problem #3: Moles to Moles Calculate the moles of CS2 and H2S produced when 1.5 mol S8 is used? CH4(g) + S8(s)  CS2(l) + H2S(g)
  • 17. Practice Problem #3: Moles to Moles Sulfuric acid (H2SO4) is formed when sulfur dioxide (SO2) reacts with oxygen and water. How many moles of H2SO4 are produced from 12.5 moles of SO2? How many moles of O2 are needed?
  • 18. Practice Problem #4: Moles to Mass Sodium chloride is decomposed into the elements sodium and chlorine. How much chlorine gas, in grams is obtained when 2.50 mol of sodium choride are used?
  • 19. Practice Problem #5: Mass to Mass Acid rain (H2SO4) is formed from SO2, O2 and H2O. If 2.5g of SO2 reacts with excess oxygen and water, how much H2SO4 is produced?
  • 20. Questions How many moles of CO2 will be produced in the following reaction if the initial amount of reactants was 0.50 moles? 2NaHCO3 → Na2CO + CO2 + H2O A. 0.25 B. 0.3 C. 0.5 D. 1.0
  • 21. Questions A chemical reaction equation must be ____ in order to make stoichiometric calculations. A. measured B. controlled C. balanced D. produced
  • 23. 10.3 Limiting Reactant Objectives •Identify the limiting reactant in a chemical equation. •Identify the excess reactant, and calculate the amount remaining after the reaction is complete. •Calculate the mass of a product when the amounts of more than one reactant are given.
  • 24. Limiting Reactant The limiting reactant limits the extent of the reaction.  Determine the amount of product formed.  A portion of all the other reactants remains after the reaction stops. Excess reactants are the reactants leftover when a reaction stops.
  • 25. Example Supplies First Aid Kits  500 bandaids  24 bandaids  85 gauze rolls  4 gauze rolls  24 first aid ointments  1 first aid ointment  24 burn sprays  1 burn spray  65 rolls of tape  3 rolls of tape  50 ace bandages  2 ace bandages
  • 26. Steps to Determining the Limiting Reactant 1. Determine moles of reactants. 2. Use mole ratios to determine which reactant is limiting. 3. Analyze the excess reactant 1. Moles reacted 2. Mass reacted 3. Excess remaining
  • 27. Practice Problem #6 If 200.0g of sulfur reacts with 100.0g of chlorine, what mass of disulfur dichloride is produced? S8(l) + 4Cl2(g)  4S2Cl2(l)
  • 28. Questions The mass of the final product in a chemical reaction is based on what? A. the amount of excess reactant B. the amount of limiting reactant C. the presence of a catalyst D. the amount of O2 present
  • 29. Questions What is the excess reactant in the following reaction if you start with 50.0g of each reactant? P4(s) + 5O2(g) → P4O10(s) A. O2 B. P4 C. Both are equal. D. unable to determine
  • 31. 10.4 Percent Yield Objectives •Calculatethe theoretical yield of a chemical reaction from data. •Determine the percent yield for a chemical equation.
  • 32. Theoretical Yield Theoretical yield is the maximum amount of product that can be produced from a given amount of reactant.  Assumes that the reaction goes to completion in the forward direction.
  • 33. Actual Yield Actual yield is the amount of product produced when the chemical reaction is carried out in an experiment.
  • 34. Percent Yield Percent yield is the ratio of the actual yield expressed as a percent.  Represents how efficient a reaction is in producing the desired product  Percent yield = (actual yield/theoretical yield) x 100 actual yield(exp erimental) %yield = x100% theoretical yield(calculated)
  • 35. Practice Problem #7 Solid silver chromate (AgCrO4) forms when potassium chromate (K2CrO4) is added to a solution containing .500g of silver nitrate (AgNO3). Determine the theoretical yield of Ag2CrO4. Calculate the percent yield if the reaction yields .455g of Ag2CrO4.
  • 36. Practice Problem #7 AgNO3 + K2CrO4  Ag2CrO4 + ; .500g AgNO3, theoretical yield of Ag2CrO4? percent yield? .455g of Ag2CrO4
  • 37. Questions The amount of product that can be produced from a given amount of reactants based on stoichiometric calculations is: A. actual yield B. percent yield C. theoretical yield D. stoichiometric yield
  • 38. Questions You calculate the theoretical yield of a chemical reaction starting with 50.0g of reactant is 25.0g of product. What is the percent yield if the actual yield is 22.0g of product? A. 88% B. 44% C. 50% D. 97%
  • 40. 10.4 Accumulating Content •Apply knowledge and skills from previous units to content learned in this unit.
  • 41. Practice Problem #8 When an antacid tablet dissolves in water, the fizz is due to a reaction between sodium hydrogen carbonate (baking soda), also called sodium bicarbonate, and citric acid (H3C6H5O7). What are the masses of the products if there is 1.00 gram of each reactant in the tablet. Use the net ionic equation to solve this problem. What is the percent yield if only 1.25g of gas was produced? How does this affect the resulting mass of your other product?
  • 42. Practice Problem #8 sodium bicarbonate, and citric acid (H3C6H5O7). What are the masses of the products if there is 1.00 gram of each reactant in the tablet. Use the net ionic equation to solve this problem.
  • 43. Practice Problem #8 What is the percent yield if only 1.25g of gas was produced? How does this affect the resulting mass of your other product?
  • 44. Study Guide KEY CONCEPTS
  • 45. Key Concepts  Balanced chemical equations can be interpreted in terms of moles, mass, and representative particles (atoms, molecules, formula units).  The law of conservation of mass applies to all chemical reactions.  Mole ratios are derived from the coefficients of a balanced chemical equation. Each mole ratio relates the number of moles of one reactant or product to the number of moles of another reactant or product in the chemical reaction.
  • 46. Key Concepts  Chemists use stoichiometric calculations to predict the amounts of reactants used and products formed in specific reactions.  The first step in solving stoichiometric problems is writing the balanced chemical equation.  Mole ratios derived from the balanced chemical equation are used in stoichiometric calculations.  Stoichiometric problems make use of mole ratios to convert between mass and moles.
  • 47. Key Concepts  The limiting reactant is the reactant that is completely consumed during a chemical reaction. Reactants that remain after the reaction stops are called excess reactants.  To determine the limiting reactant, the actual mole ratio of the available reactants must be compared with the ratio of the reactants obtained from the coefficients in the balanced chemical equation.  Stoichiometric calculations must be based on the limiting reactant.
  • 48. Key Concepts  The theoretical yield of a chemical reaction is the maximum amount of product that can be produced from a given amount of reactant. Theoretical yield is calculated from the balanced chemical equation.  The actual yield is the amount of product produced. Actual yield must be obtained through experimentation
  • 49. Key Concepts  Percent yield is the ratio of actual yield to theoretical yield expressed as a percent. High percent yield is important in reducing the cost of every product produced through chemical processes.
  • 50. Questions What law are all stoichiometric calculations based on? A. law of definite proportions B. law of conservation of mass C. law of conservation of energy D. none of the above
  • 51. Questions The mole ratios can be determined only if what? A. all the reactants are present in equal amounts B. the reactants do not have coefficients C. the products do not have coefficients D. the equation is balanced
  • 52. Questions If the following reaction yields 5 mol NaAu(CN)2, how many moles of Au were present as reactants? (Assume all other reactants are in excess). 4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) → 4NaAu(CN)2(aq) + 4NaOH(aq) A. 1 B. 4 C. 5 D. 20
  • 53. Questions In the following reaction, how many moles of NaCN are required to react with 5 mol of Au? 4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) → 4NaAu(CN)2(aq) + 4NaOH(aq) A. 3 B. 5 C. 8 D. 10
  • 54. Questions In the following reaction, what mass of NaOH is produced if 5.0 moles of NaAu are also produced in the reaction? 4Au(s) + 8NaCN(aq) + O2 + 2H2O(l) → 4NaAu(CN)2(aq) + 4NaOH(aq) A. 20 g B. 50 g C. 200 g D. 400 g
  • 55. Questions The SI base unit of amount is ____. A. the gram B. the kilogram C. the mole D. Avogadro’s number
  • 56. Questions Zinc reacts with iodine in a synthesis reaction: Zn + I2  Znl2. What is the theoretical yield of Znl2, if 1.912 mol of zinc is used? A. 6.103 g B. 61.03 g C. 610.3 g D. 0.6103 g
  • 57. Questions In a chemical reaction, the statement that matter is neither created nor destroyed is based on what? A. mole ratio B. law of conservation of mass C. Avogadro’s number D. law of definite proportions
  • 58. Questions Which is not a product that must be produced in a double replacement reaction? A. water B. heat C. precipitates D. gases
  • 59. Questions The ____ is the maximum amount of product that can be produced from a given amount of reactant. A. theoretical yield B. actual yield C. limiting reactant D. excess reactant