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05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 127 Name ___________________________ 12 Date ___________________ Class __________________ STOICHIOMETRY SECTION 12.1 THE ARITHMETIC OF EQUATIONS (pages 353–358) This section explains how to calculate the amount of reactants required or product formed in a nonchemical process. It teaches you how to interpret chemical equations in terms of interacting moles, representative particles, masses, and gas volume at STP. Using Everyday Equations (pages 353–355) 1. How can you determine the quantities of reactants and products in a chemical reaction? You can use the balanced equation. amount 2. Quantity usually means the ______________________ of a substance expressed in grams or moles. 3. A bookcase is to be built from 3 shelves (Sh), 2 side boards (Sb), 1 top (T), 1 base (B), and 4 legs (L). Write a “balanced equation” for the construction of this bookcase. © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 3Sh 2Sb T B 4L Sh3Sb2TBL4 Using Balanced Chemical Equations (page 354) 4. Is the following sentence true or false? Stoichiometry is the calculation of true quantities in chemical reactions. ______________________ stoichiometric calculations 5. Calculations using balanced equations are called __________________________. Interpreting Chemical Equations (pages 356–357) 6. From what elements is ammonia produced? How is it used? Ammonia molecules are composed of nitrogen and hydrogen; it is used as a fertilizer. 7. Circle the letter of the term that tells what kind of information you CANNOT get from a chemical equation. a. moles d. volume b. mass e. number of particles c. size of particles Chapter 12 Stoichiometry 127 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 128 Name ___________________________ Date ___________________ Class __________________ CHAPTER 12, Stoichiometry (continued) 8. The coefficients of a balanced chemical equation tell you the relative number of reactants products moles of ______________________ and ______________________ in a chemical reaction. 9. Why is the relative number of moles of reactants and products the most important information that a balanced chemical equation provides? Knowing the relative number of moles allows you to calculate the amounts of reactants and products. Mass Conservation in Chemical Reactions (pages 357–358) 10. Is the following sentence true or false? A balanced chemical equation must true obey the law of conservation of mass. ______________________ 11. Use Figure 12.3 on page 357. Complete the table about the reaction of nitrogen and hydrogen. N2(g) 2 atoms N 1 molecule N2 (6.02 1023 molecules N2) 1 3H2(g) L 2NH3(g) 6 atoms H L 3 L 3 (6.02 1023 molecules H2) 28 g N2 3 34 mol H2 2 L atoms N and 2 molecules NH3 2 (6.02 1023 molecules NH3) 6 L 2 mol NH3 g H2 g reactants L 2 17 g NH3 L 34 g products 67.2 L H2 L 44.8 L NH3 12. Circle the letter(s) of the items that are ALWAYS conserved in every chemical reaction. a. volume of gases d. moles b. mass e. molecules c. formula units f. atoms 13. What reactant combines with oxygen to form sulfur dioxide? Where can this reactant be found in nature? Hydrogen sulfide gas combines with oxygen to form sulfur dioxide. It can be found in volcanic areas. 128 Guided Reading and Study Workbook atoms H © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 3 1 mol N2 Assume STP 22.4 L N2 molecules H2 2 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 129 Name ___________________________ Date ___________________ Class __________________ SECTION 12.2 CHEMICAL CALCULATIONS (pages 359–366) This section shows you how to construct mole ratios from balanced chemical equations. It then teaches you how to calculate stoichiometric quantities from balanced chemical equations using units of moles, mass, representative particles, and volumes of gases at STP. Writing and Using Mole Ratios (pages 359–362) 1. What is essential for all calculations involving amounts of reactants and A balanced chemical equation is essential. products? ___________________________________________________________________ 2. Is the following sentence true or false? If you know the number of moles of one substance in a reaction, you need more information than the balanced chemical equation to determine the number of moles of all the other substances in the reaction. false ______________________ 3. The coefficients from a balanced chemical equation are used to write mole ratios conversion factors called ______________________ . 4. What are mole ratios used for? Mole ratios are used to calculate the number of moles of product from a given number of moles of reactant or to calculate the number of moles of reactant from © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. a given number of moles of product. 5. The equation for the formation of potassium chloride is given by the equation 2K(s) Cl2(g) 2KCl(s) KL Write the six possible mole ratios for this equation. 2 mol K 1 mol Cl2 ______________________________ 1 mol Cl2 2 mol KCl ______________________________ 2 mol K 2 mol KCl ______________________________ 2 mol KCl 2 mol K ______________________________ 1 mol Cl2 2 mol K ______________________________ 2 mol KCl 1 mol Cl2 ______________________________ 6. Is the following sentence true or false? Laboratory balances are used to false measure moles of substances directly. ______________________ 7. The amount of a substance is usually determined by measuring its mass grams in _________________________________________________________________________ . Chapter 12 Stoichiometry 129 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 130 Name ___________________________ Date ___________________ Class __________________ CHAPTER 12, Stoichiometry (continued) 8. Is the following sentence true or false? If a sample is measured in grams, molar true mass can be used to convert the mass to moles. ______________________ 9. Complete the flow chart to show the steps for the mass–mass conversion of any given mass of G to any wanted mass of W . In the chemical equation, a moles of G react with b moles of W. 1 mol G mass of G mol G molar mass G b mol W mol G a mol G mol W mol W molar mass W 1 mol W mass W 10. Use the diagram below. Describe the steps needed to solve a mass–mass stoichiometry problem. Finally, convert moles of W to mass of W. aG → (given quantity) mass of G 1 mol G mass G mol G bW (wanted quantity) b mol W a mol G mol W mass W 1 mol W mass of W Other Stoichiometric Calculations (pages 363–366) 11. Is the following sentence true or false? Stoichiometric calculations can be expanded to include any unit of measurement that is related to the mole. true 12. List two or three types of problems that can be solved with stoichiometric calculations. The problems can include mass–volume, volume–volume, and particle–mass calculations. 130 Guided Reading and Study Workbook © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. First convert mass of G to moles of G. Then use the mole ratio to find moles of W. 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 131 Name ___________________________ Date ___________________ Class __________________ 13. In any problem relating to stoichiometric calculations, the given quantity is moles first converted to ______________________ . 14. The combustion of methane produces carbon dioxide and water. The chemical equation for this reaction is CH4(g) 2O2(g) CO2(g) 2H2O(g) JKL Write the three conversion factors you would use to find the volume of carbon dioxide obtained from 1.5 L of oxygen. 1 mol O2 22.4 L O2 ____________________ 1 mol CO 2 2 mol O2 ____________________ 22.4 L CO 2 1 mol CO2 ____________________ Reading Skill Practice Sometimes information you read is easier to remember if you write it in a different format. For example, the paragraph on page 363 and Figure 12.8 both explain how to solve stoichiometric problems. Use these explanations to make a diagram or flow chart for solving a particle–mass stoichiometry problem. Do your work on a separate sheet of paper. 1 mol G representative mass W b mol W particles of G 6.02 1023 KL mol G a mol G KL mol W 1 mol W mass of W © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. SECTION 12.3 LIMITING REAGENT AND PERCENT YIELD (pages 368–375) This section helps you identify and use the limiting reagent in a reaction to calculate the maximum amount of product(s) produced and the amount of excess reagent. It also explains how to calculate theoretical yield, actual yield, or percent yield, given appropriate information. Limiting and Excess Reagents (pages 368–371) 1. What is a limiting reagent? A limiting reagent limits or determines the amount of product that can be formed in a reaction. 2. Is the following sentence true or false? A chemical reaction stops before the false limiting reagent is used up. _____________________ 3. Circle the letter of the term that correctly completes the sentence. The reactant that is not completely used up in a chemical reaction is called the _______ . a. spectator reagent c. excess reagent b. limiting reagent d. catalyst Chapter 12 Stoichiometry 131 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 132 Name ___________________________ Date ___________________ Class __________________ CHAPTER 12, Stoichiometry (continued) 4. If the quantities of reactants are given in units other than moles, what is the first step for determining the amount of product? a. Determine the amount of product from the given amount of limiting reagent. b. Convert each given quantity of reactant to moles. c. Identify the limiting reagent. 5. In the diagram below, which reactant is the limiting reagent and why? The chemical equation for the formation of water is 2H2 O2 2H2O. KL Hydrogen is the limiting reagent, because three hydrogen molecules will combine with only three oxygen atoms. Experimental Conditions Reactants Products Before reaction 2 molecules O2 3 molecules H2 0 molecules H2O Percent Yield (pages 372–375) The theoretical yield is the maximum amount of product that could be formed from given amounts of reactants. 7. The amount of product that actually forms when a chemical reaction is carried actual out in a laboratory is called the ______________________ yield. 8. Is the following sentence true or false? The actual yield is usually greater than false the theoretical yield. ______________________ 9. Complete the equation for the percent yield of a chemical reaction. actual yield Percent yield ____________________ 100% theoretical yield 10. Describe four factors that may cause percent yields to be less than 100%. impure reactants, competing side reactions, loss of product during filtration or in transferring between containers, carelessly measuring reactants or products 132 Guided Reading and Study Workbook © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 6. What is the theoretical yield? 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 133 Name ___________________________ Date ___________________ Class __________________ GUIDED PRACTICE PROBLEMS GUIDED PRACTICE PROBLEM 11 (page 360) 11. This equation shows the formation of aluminum oxide. 4Al(s) 3O2(g) KJKL 2Al2O3(s) a. How many moles of oxygen are required to react completely with 14.8 moles of aluminum? Analyze 14.8 mol Al 1. What is the given information? ______________________ moles of O2 2. What is the unknown? ______________________ 3 mol O 2 4 mol Al 3. What conversion factor will you need to use? ______________________ Calculate 3 mol O2 mol Al 11.1 4. Complete the solution. 14.8 ____________ ____________ ____________ mol O2 4 mol Al Evaluate 5. Why does the answer have three significant figures? Because the moles of aluminum is given to three significant figures, and because © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. defined numbers such as mole ratios have an infinite number of significant figures. b. How many moles of aluminum oxide are formed when 0.78 moles of oxygen react with an excess of aluminum? Analyze 0.78 mol O2 6. What information is given? ______________________ moles of Al2O3 7. What information is unknown? ______________________ Calculate 2 mol Al2O3 0.78 8. Complete the solution. ____________ mol O2 _______________ 3 mol O2 0.52 ____________ mol Al2O3 Evaluate 9. Why does the answer have two significant figures? The answer has two significant figures because the number of moles of oxygen has two significant figures. Chapter 12 Stoichiometry 133 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 134 Name ___________________________ Date ___________________ Class __________________ CHAPTER 12, Stoichiometry (continued) EXTRA PRACTICE (similar to Practice Problem 15, page 364) 15. How many molecules of oxygen are produced by the decomposition of 1225 grams of potassium chlorate (KClO3)? 2KClO3(s) JKL 2KCl(s) 3O2(g) 1 mol KClO3 3 mol O2 6.02 1023 molecules O2 1225 g KClO3 122.5 g KClO3 2 mol KClO3 1 mol O2 15 6.02 1023 molecules O2 9.03 1024 molecules O2 EXTRA PRACTICE (similar to Practice Problem 17, page 365) 17. The equation for the combustion of carbon monoxide is 2CO(g) O2(g) 2CO2(g) JKL How many liters of oxygen are needed to burn 10 liters of carbon monoxide? 22.4 L O2 1 mol CO 1 mol O2 10 L CO 5 L O2 22.4 L CO 2 mol CO 1 mol O2 GUIDED PRACTICE PROBLEM 25 (page 370) 25. The equation for the complete combustion of ethene (C2H4) is C2H4(g) 3O2(g) JKL 2CO2(g) 2H2O(g) Step 1. Calculate the number of moles of oxygen needed to react with 2.70 moles of ethane. Multiply by the mole ratio. 3 mol O2 mol C2H4 2.70 _______________ ___________ 1 mol C2H4 8.10 mol O2 _______ Step 2. Compare the number of moles of oxygen needed to the number given. 6.30 mol O2 given is less than ____________ Step 3. Identify the limiting reagent. 8.10 Because _________ mol O2 are needed 8.10 mol O2 needed _______ to react with the 2.70 mol C2H4 and 6.30 only _________ mol O2 are available, oxygen is the limiting reagent. ___________ 134 Guided Reading and Study Workbook © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. a. If 2.70 moles of ethene reacted with 6.30 moles of oxygen, identify the limiting reagent. 05_Chem_GRSW_Ch12.SE/TE 6/11/04 3:45 PM Page 135 Name ___________________________ Date ___________________ Class __________________ b. Calculate the number of moles of water produced. Step 1. Identify the mole ratio needed. 2 mol H2O ____________ 3 mol O2 Step 2. Calculate the given number of moles of oxygen. 2 mol H2O mol O2 ____________ 6.30 _________ 3 mol O2 4.20 _______ mol H O 2 GUIDED PRACTICE PROBLEM 29 (page 374) 29. When 84.8 grams of iron(III) oxide reacts with an excess of carbon monoxide, 54.3 grams of iron are produced. Fe2O3(s) 3CO(g) 2Fe(s) 3CO2(g) JKL What is the percent yield of this reaction? Step 1. First calculate the theoretical yield. Begin by finding the molar mass of Fe2O3. 55.8 g Fe/mol Fe) 2 mol Fe (_______ 16.0 g O3/mol O3) 3 mol O3 (_______ 111.6 g 48.0 g _______ © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 159.6 g _______ 1 mol Fe2O3 84.8 g Fe2O3 Step 2. Calculate the number of _______ 159.6 g Fe2O3 moles of iron(III) oxide. Multiply by 0.531 mol the mole/mass conversion factor. _______ Step 3. Find the number of moles of Fe expected. Multiply by the mole ratio. Step 4. Find the mass of iron that should be produced. Multiply by the mole/mass conversion factor. Step 5. Compare the actual yield to the theoretical yield by dividing. Step 6. Write the answer as a percent, with the correct number of significant figures. 2 mol Fe mol Fe2O3 ____________ 0.531 ____________ 1 mol Fe2O3 1.062 mol Fe _______ 55.8 g Fe mol Fe 1.062 ____________ ____________ 59.3 g Fe 1 mol Fe 54.3 g Fe actual yield ____________ 0.916 theoretical yield 59.3 g Fe 91.6% 0.916 ____________ Chapter 12 Stoichiometry 135 05_CTR_ch12 7/9/04 3:34 PM Page 297 Name ___________________________ 12 Date ___________________ Class __________________ INTERPRETING GRAPHICS Use with Section 12.3 Preparation of Salicylic Acid Student #1 mass of flask 37.820 g flask C7H6O3 39.961 g volume of C4H6O3 5.0 mL mass of watch glass 22.744 g watch glass C9H8O4 24.489 g mass of flask 37.979 g flask C7H6O3 40.010 g volume of C4H6O3 5.0 mL mass of watch glass 21.688 g watch glass C9H8O4 24.197 g © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Student #2 Two students prepared aspirin according to the following reaction in which acetic anhydride, C4H6O3, reacts with salicylic acid, C7H6O3, to form aspirin, C9H8O4, and acetic acid, C2H4O2. C7H6O3 C4H6O3 y C9H8O4 C2H4O2 The procedure involved heating the reaction mixture in a water bath for 15 minutes at 75C, not to exceed 80°C. The mixture was removed from the water bath, and distilled water was added to decompose any unreacted acetic anhydride. The mixture was then placed in an ice bath for 5 minutes to facilitate the formation of aspirin crystals. The aspirin crystals were collected using filtration. The aspirin crystals were dried and then transferred to a watch glass and massed. Because their grades were partially based on accuracy, both students used their very best lab technique. Which student got the better grade and why? 1. Determine the molar masses of the following: a. acetic anhydride, C4H6O3 b. salicylic acid, C7H6O3 c. aspirin, C9H8O4 Chapter 12 Stoichiometry 297 05_CTR_ch12 7/9/04 3:34 PM Page 298 Name ___________________________ Date ___________________ Class __________________ 2. How many moles of salicylic acid were added to the reaction mixture? Student 1 Student 2 3. Given the density of acetic anhydride to be 1.05 g/mL, what was the mass of the acetic anhydride added to the reaction? How many moles of acetic acid were added? Student 1 Student 2 4. According to the mole ratios in the given reaction, what is the limiting reagent in this reaction? 5. What is the theoretical yield, in grams, of aspirin in each reaction? Student 1 Student 2 6. What was the actual yield, in grams, of aspirin in each reaction? Student 1 Student 2 7. What was the percent yield in each reaction? Student 1 Student 2 8. Evaluate your answers. Which student got the better grade and why? © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 298 Core Teaching Resources 05_CTR_ch12 7/9/04 3:34 PM Page 295 Name ___________________________ 12 Date ___________________ Class __________________ STOICHIOMETRY Practice Problems In your notebook, solve the following problems. SECTION 12.1 THE ARITHMETIC OF EQUATIONS Use the 3-step problem-solving approach you learned in Chapter 1. 1. An apple pie needs 10 large apples, 2 crusts (top and bottom), and 1 tablespoon of cinnamon. Write a balanced equation that fits this situation. How many apples are needed to make 25 pies? 2. Two moles of potassium chloride and three moles of oxygen are produced from the decomposition of two moles of potassium chlorate, KClO3(s). Write the balanced equation. How many moles of oxygen are produced from 12 moles of potassium chlorate? 3. Using the equation from problem 2, how many moles of oxygen are produced from 14 moles of potassium chlorate? 4. Two molecules of hydrogen react with one molecule of oxygen to produce two molecules of water. How many molecules of water are produced from 2.0 1023 molecules of oxygen? How many moles of water are produced from 22.5 moles of oxygen? © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. SECTION 12.2 CHEMICAL CALCULATIONS 1. Calculate the number of moles of hydrogen chloride produced from 10 moles of hydrogen. H2(g) Cl2(g) y 2HCl(g) 2. Calculate the number of moles of chlorine needed to form 14 moles of iron(III) chloride. 2Fe(s) 3Cl2(g) y 2FeCl3(s) 3. Calculate the number of grams of nitrogen dioxide that are produced from 4 moles of nitric oxide. 2NO(g) O2(g) y 2NO2(g) 4. Calculate the mass of oxygen produced from the decomposition of 75.0 g of potassium chlorate. 2KClO3(s) y 2KCl(s) 3O2(g) 5. Calculate the mass of silver needed to react with chlorine to produce 84 g of silver chloride. (Hint: Write a balanced equation first.) 6. How many liters of carbon monoxide at STP are needed to react with 4.80 g of oxygen gas to produce carbon dioxide? 2CO(g) O2(g) y 2CO2(g) 7. Calculate the number of liters of oxygen gas needed to produce 15.0 liters of dinitrogen trioxide. Assume all gases are at the same conditions of temperature and pressure. 2N2(g) 3O2(g) y 2N2O3(g) Chapter 12 Stoichiometry 295 05_CTR_ch12 7/9/04 3:34 PM Page 296 Name ___________________________ Date ___________________ Class __________________ 8. A volume of 7.5 L of hydrogen gas at STP was produced from the single-replacement reaction of zinc with nitric acid. Calculate the mass of zinc needed for this reaction. SECTION 12.3 LIMITING REAGENT AND PERCENT YIELD 1. How many moles of water can be made from 4 moles of oxygen gas and 16 moles of hydrogen gas? What is the limiting reagent? 2. Calculate the mass of water produced from the reaction of 24.0 g of H2 and 160.0 g of O2. What is the limiting reagent? 3. The burning of 18.0 g of carbon produces 55.0 g of carbon dioxide. What is the theoretical yield of CO2? Calculate the percent yield of CO2. 4. Calculate the percent yield of Cl2(g) in the electrolytic decomposition of hydrogen chloride if 25.8 g of HCl produces 13.6 g of chlorine gas. 5. One method for reclaiming silver metal from silver chloride results in a 94.6% yield. Calculate the actual mass of silver that can be produced in this reaction if 100.0 g of silver chloride is converted to silver metal. 2AgCl(s) y 2Ag(s) Cl2(g) 6. What is the actual amount of magnesium oxide produced when excess carbon dioxide reacts with 42.8 g of magnesium metal? The percent yield of MgO(s)for this reaction is 81.7%. 2Mg(s) CO2(g) y 2MgO(s) C(s) © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 296 Core Teaching Resources 05_CTR_ch12 7/9/04 3:34 PM Page 289 Name ___________________________ Date ___________________ Class __________________ THE ARITHMETIC OF EQUATIONS 12.1 Section Review Objectives • Calculate the amount of reactants required or product formed in a nonchemical process • Interpret balanced chemical equations in terms of interacting moles, representative particles, masses, and gas volume at STP Vocabulary • stoichiometry Part A Completion Use this completion exercise to check your understanding of the concepts and terms that are introduced in this section. Each blank can be completed with a term, short phrase, or number. The coefficients of a balanced chemical equation indicate 1 the relative number of of reactants and products. All © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. stoichiometric calculations begin with a and 4 2 . Only 3 are conserved in every reaction; moles, volumes, and representative particles may not be. In solving stoichiometric problems, conversion factors relating moles of reactants to If you assume 6 5 1. 2. 3. 4. 5. 6. of products are used. , the balanced equation also tells you about the volumes of gases. Part B True-False Classify each of these statements as always true, AT; sometimes true, ST; or never true, NT. ________ 7. The coefficients in a balanced chemical equation can be used to form mole ratios relating reactants to products. ________ 8. The coefficients in a balanced chemical equation tell the relative volumes of reactants and products, expressed in any suitable unit of volume. ________ 9. To calculate the mass of a molecule in grams, you can use the molar mass and Avogadro’s number. Chapter 12 Stoichiometry 289 05_CTR_ch12 7/9/04 3:34 PM Page 290 Name ___________________________ Date ___________________ Class __________________ ________ 10. Because the mass of the reactants equals the mass of the products of a reaction, the number of moles will be conserved. ________ 11. If the ratio of molecules in the reaction 2A2 B2 y 2A2B is 2:1:2, we can predict that 4 molecules of A2 react with 2 molecules B2 to produce 4 molecules of A2B. ________ 12. One mole of any gas occupies a volume of 22.4 L. Part C Matching Match each description in Column B to the correct term in Column A. Column A Column B ________ 13. stoichiometry a. Avogadro’s number ________ 14. product b. the calculations of quantities in chemical reactions ________ 15. coefficient c. STP ________ 16. 6.02 1023 d. a substance formed in a chemical reaction ________ 17. 0°C, 101.3 kPa e. gives the relative number of molecules involved in a reaction Part D Questions and Problems Answer the following in the space provided. Show your work. 19. How many moles of chlorine gas will be required to react with sufficient iron to produce 14 moles of iron(III) chloride? 2Fe(s) 3Cl2(g) y 2FeCl3(g) 290 Core Teaching Resources © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. 18. Interpret the following equation using moles, molecules, and volumes (assume STP). Compare the mass of the reactants to the mass of the product. 2N2(g) 3O2(g) y 2N2O3(g) 05_CTR_ch12 7/9/04 3:34 PM Page 291 Name ___________________________ Date ___________________ Class __________________ CHEMICAL CALCULATIONS 12.2 Section Review Objectives • Construct mole ratios from balanced chemical equations and apply these ratios in mole-mole stoichiometric calculations • Calculate stoichiometric quantities from balanced chemical equations, using units of moles, mass, representative particles, and volumes of gases at STP Key Equations • mole-mole relationship used in every stoichiometric calculation: aG uy bW (given quantity) (wanted quantity) b mol W a mol G xb a • x mol G mol W Given Mole Ratio Calculated Part A Completion © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Use this completion exercise to check your understanding of the concepts and terms that are introduced in this section. Each blank can be completed with a term, short phrase, or number. Mole ratios from balanced equations may be used to solve 2 2. from the balanced equation are used 3. problems with other units such as numbers of of gases at STP. The 3 4 to write conversion factors called 6 and . These conversion factors are used to calculate the numbers of moles of number of moles of 1 1. 5 4. from a given 5. . In mass-mass calculations, the molar 6. mass is used to convert mass to 7 . 7. Part B True-False Classify each of these statements as always true, AT; sometimes true, ST; or never true, NT. ________ 8. In mass-mass calculations, the molar mass is used to convert mass to moles. ________ 9. The mole ratio 2 mol HF/1 mol SnF2 can be used to determine the mass of SnF2 produced according to the equation: Sn(s) 2HF(g) y SnF2(s) H2(g) Chapter 12 Stoichiometry 291 05_CTR_ch12 7/9/04 3:34 PM Page 292 Name ___________________________ Date ___________________ Class __________________ ________ 10. In a volume-volume problem, the 22.4 L/mol factors always cancel out. ________ 11. In stoichiometric problems, volume is expressed in terms of liters. ________ 12. For a mass-mole problem, the first conversion from mass to moles is skipped. ________ 13. For a mass-mass problem, the first conversion is from moles to mass. ________ 14. Because mole ratios from balanced equations are exact numbers, they do not enter into the determination of significant figures. Part C Matching Match each conversion problem in Column A to the correct solution in Column B. Column A ________ 15. moles O2 y grams O2 ________ 16. liters SO2 y grams SO2 at STP ________ 17. molecules He y liters He(g) at STP ________ 18. grams Sn y molecules Sn ________ 19. molecules H2O y grams H2O Column B mol 18.0 g a. molecules 23 6.02 10 molecules mol 64.1 g mol b. liters mol 22.4 L 32.0 g c. mol mol mol 22.4 L d. molecules 6.02 1023molecules mol 23 6.02 10 molecules mol e. grams mol 119 g Answer the following questions in the space provided. 20. How many liters of carbon monoxide (at STP) are needed to react with 4.8 g of oxygen gas to produce carbon dioxide? 2CO(g) O2(g) y 2CO2(g) 21. What mass of ammonia, NH3, is necessary to react with 2.1 1024 molecules of oxygen in the following reaction? 4NH3(g) 7O2(g) y 6H2O(g) 4NO2(g) 292 Core Teaching Resources © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Part D Questions and Problems 05_CTR_ch12 7/9/04 3:34 PM Page 293 Name ___________________________ Date ___________________ Class __________________ LIMITING REAGENT AND PERCENT YIELD 12.3 Section Review Objectives • Identify and use the limiting reagent in a reaction to calculate the maximum amount of product(s) produced and the amount of excess reagent • Calculate theoretical yield, actual yield, or percent yield given the appropriate information Vocabulary • limiting reagent • excess reagent • theoretical yield • actual yield • percent yield Key Equations actual yield theoretical yield • percent yield 100 Part A Completion © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Use this completion exercise to check your understanding of the concepts and terms that are introduced in this section. Each blank can be completed with a term, short phrase, or number. Whenever quantities of two or more reactants are given in a 1 stoichiometric problem, you must identify the reagent that is completely 2 1. . This is the 2. in the reaction. The amount of 3. limiting reagent determines the amount of 3 that is formed. When an equation is used to calculate the amount of product 4 that will form during a reaction, the value obtained is the This is the 5 . 4. 5. 6. amount of product that could be formed from a given amount of reactant. The amount of product that forms when the reaction is carried out in the laboratory is called the 6 . Part B True-False Classify each of these statements as always true, AT; sometimes true, ST; or never true, NT. ________ 7. Normally, the actual yield in a chemical reaction will be equal to or less than the theoretical yield. ________ 8. The actual yield of a chemical reaction can be calculated using mole ratios. Chapter 12 Stoichiometry 293 05_CTR_ch12 7/9/04 3:34 PM Page 294 Name ___________________________ Date ___________________ Class __________________ ________ 9. The amount of product can be determined from the amount of excess reagent. ________ 10. The percent yield of a product is 100 percent. ________ 11. If you had 100 steering wheels, 360 tires, and enough of every other part needed to assemble a car, the limiting reagent would be tires. ________ 12. The theoretical yield is the maximum amount of product that could be formed in a chemical reaction. Part C Matching Match each description in Column B to the correct term in Column A. Column A Column B a. the ratio of the actual yield to the theoretical yield 100 ________ 14. limiting reagent b. the amount of product actually formed when a reaction is carried out in the laboratory ________ 15. theoretical yield c. the reactant that determines the amount of product that can be formed in a reaction ________ 16. percent yield d. the reactant that is not completely used up in a chemical reaction ________ 17. excess reagent e. the maximum amount of product that can be formed during a reaction Part D Questions and Problems Answer the following in the space provided. 18. a. What is the limiting reagent when 3.1 mol of SO2 react with 2.7 mol of O2 according to the equation: 2SO2(g) O2(g) y 2SO3(g) b. Calculate the maximum amount of product that can be formed and the amount of unreacted excess reagent. 294 Core Teaching Resources © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. ________ 13. actual yield 05_CTR_ch12 7/9/04 3:34 PM Page 299 Name ___________________________ 12 Date ___________________ Class __________________ STOICHIOMETRY Vocabulary Review Match the correct vocabulary term to each numbered statement. Write the letter of the correct term on the line. © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. Column A Column B ________ 1. the starting materials in a chemical reaction a. mole ________ 2. a conversion factor derived from the coefficients of a balanced chemical equation interpreted in terms of moles b. stoichiometry ________ 3. the maximum amount of product that could be formed in a reaction c. mass-mass calculation ________ 4. the amount of a substance that contains 6.02 1023 representative particles of that substance d. reactants ________ 5. the substance completely used up in a chemical reaction e. excess reagent ________ 6. the ratio of how much product is produced compared to how much is expected, expressed as a percentage f. theoretical yield ________ 7. the calculations of quantities in a chemical reaction g. limiting reagent ________ 8. the actual amount of product in a chemical reaction h. quantity ________ 9. the substance left over after a reaction takes place i. actual yield ________ 10. a stoichiometric computation in which the mass of products is determined from the given mass of reactants j. percent yield Chapter 12 Stoichiometry 299 05_CTR_ch12 7/9/04 3:34 PM Page 300 Name ___________________________ 12 Date ___________________ Class __________________ STOICHIOMETRY Chapter Quiz Fill in the word(s) that will make each statement true. 1 1. The in a balanced chemical equation also reveal the mole ratios of the substances involved. 1. 12.1 2. The number of moles of a product can be calculated from a 2 given number of moles of . 2. 12.1 3. In mass-mass calculations, the molar mass is used to 3 convert mass to . 3. 12.2 4. In addition to mass, the only quantity conserved in every 4 chemical reaction is . 4. 12.2 5. According to the equation: 2NO(g) O2(g) y 2NO2(g), 5 22.4 L of O2 will react with L of NO at STP. 5. 12.2 Classify each of these statements as always true, AT; sometimes true, ST; or never true, NT. 12.3 ________ 7. In the reaction 2CO(g) O2(g) y 2CO2(g), using 4 moles of CO to react with 1 mole of O2 will result in the production of 4 moles of CO2. 12.3 ________ 8. To calculate the percent yield of a reaction, you use the following relationship: theoretical yield 100 actual yield 12.3 ________ 9. The total mass of the excess reagent and the limiting reagent is equal to the total mass of the products. 12.3 ________ 10. The actual yield is equal to the theoretical yield. 12.3 300 Core Teaching Resources © Pearson Education, Inc., publishing as Pearson Prentice Hall. All rights reserved. ________ 6. The excess reagent determines the amount of product formed in a reaction.