Princeton 2012/Barron 4th ed. AP Practice Problems Unit 12 – Equilibrium Multiple Choice (no calculator) For questions 1-3, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. A. B. C. D. E. Kc Kp Ka Kw Ksp 1. This equilibrium constant uses partial pressures of gases as units. (P10.1) 2. This equilibrium constant is used for the dissociation of an acid. (P10.2) 3. The equilibrium expression for this equilibrium constant does not contain a denominator. (P10.4) 4. A gaseous reaction occurs and comes to equilibrium as shown below. Which of the following changes to the system will serve to increase the number of moles of I2 present at equilibrium? (P10.6) 2HI(g) + Cl2(g) ↔ 2HCl(g) + I2(g) + energy a. Increasing the volume at a constant temperature b. Decreasing the volume at a constant temperature c. Adding a mole of inert gas at constant volume d. Increasing the temperature at constant volume e. Decreasing the temperature at constant volume. 5. A sealed isothermal container initially contained 2 moles of CO gas and 3 moles of H2 gas. The following reversible reaction occurred: CO(g) + 2H2(g) ↔ CH3OH(g) At equilibrium, there was 1 mole of CH3OH in the container. What was the total number of moles of gas present in the container at equilibrium? (P10.7) a. b. c. d. e. 1 2 3 4 5 6. Which of the following changes to the system at equilibrium shown below would cause the concentration of H2O to increase? (P10.8) 4NH3(g) + 3O2(g) ↔ 2N2(g) + 6H2O(g) + energy a. The volume of the system was decreased at constant temperature. b. The temperature of the system was increased at constant volume. c. NH3 was removed from the system. d. N2 was removed from the system. e. O2 was removed from the system. Princeton 2012/Barron 4th ed. 7. A sample of solid potassium nitrate is placed in water. The solid potassium nitrate comes to equilibrium with its dissolved ions by the endothermic process shown below. KNO3(s) + energy ↔ K+(aq) + NO3-(aq) Which of the following changes to the system would increase the concentration of K+ ions at equilibrium? (P10.9) a. The volume of the solution is increased. b. The volume of the solution is decreased. c. Additional solid KNO3 is added to the solution. d. The temperature of the solution is increased. e. The temperature of the solution is decreased. 8. For which of the following gaseous equilibria to Kp and Kc differ the most? (P10.10) a. 2H2(g) + O2(g) ↔ 2H2O(g) b. NH3BH3(g) ↔ NH2BH2(g) + H2(g) c. NO(g) + O3(g) ↔ NO2(g) + O2(g) d. B3N3H3(g) + 3H2(g) ↔ B3N3H12(g) e. BH3(g) + 3HCl(g) ↔ BCl3(g) + 3H2(g) 9. The reaction below came to equilibrium at a temperature of 100°C. At equilibrium the partial pressure due to NOBr was 4 atmospheres, the partial pressure due to NO was 4 atmospheres, and the partial pressure due to Br2 was 2 atmospheres. What is the equilibrium constant, Kp, for the reaction at 100°C? (P10.12) 2NOBr(g) ↔ 2NO(g) + Br2(g) a. b. c. d. e. ¼ ½ 1 2 4 10. At 150°C, the equilibrium constant, Kc, for the reaction shown below has a value of 300. This reaction was allowed to reach equilibrium in a sealed container and the partial pressure due to IBr(g) was found to be 3 atm. Which of the following could be the partial pressures due to Br2(g) and I2(g) in the container? (P10.14) Br2(g) + I2(g) ↔ 2IBr(g) a. b. c. d. e. Br2(g) 0.1 atm 0.3 atm 1 atm 1 atm 3 atm I2(g) 0.3 atm 1 atm 1 atm 3 atm 3 atm Princeton 2012/Barron 4th ed. 11. Initially, a sealed vessel contained only H2(g) with a partial pressure of 6 atm and CO2(g) with a partial pressure of 4 atm. The reaction below was allowed to come to equilibrium at a temperature of 700K. At equilibrium, the partial pressure due to CO(g) was found to be 2 atm. What is the value of the equilibrium constant Kp, for the reaction? (P10.15) H2(g) + CO2(g) ↔ H2O(g) + CO(g) a. b. c. d. e. 1/24 1/6 1/4 1/3 1/2 For questions 12-14, one or more of the following responses will apply; each response may be used more than once or not at all in these questions. I. II. III. IV. V. Ka Ksp Q Kc Le Chatlier’s Principle 12. The effect of temperature on a chemical system is best described using (B10.1) a. b. c. d. e. I and III II III and V IV V 13. This is the correct term to use to determine if a system has come to equilibrium (B10.2) a. b. c. d. e. I and III II III IV V 14. The term(s) most useful in determining the solubility of a substance is (are) (B10.3) a. b. c. d. e. I and III II III and V IV V 15. A chemical system in equilibrium will (B10.4) a. have the same concentrations of all products and reactants b. form more products if the temperature is increased c. have a specific ratio of products to reactants d. not have any precipitates e. represent a spontaneous chemical process 16. Which of the following CANNOT affect the extent of reaction? (B10.16) a. Changing the temperature b. Adding a catalyst c. Increasing the amounts of reactants d. Removing some product e. Changing the volume Princeton 2012/Barron 4th ed. 17. In which of the following cases is the reaction expected to be exothermic? (B10.17) a. Increasing the pressure increases the amount of product formed. b. Increasing the amount of reactants increases the amount of product formed. c. Increasing the temperature increases the amount of product formed. d. Increasing the volume decreases the amount of product formed. e. Increasing the temperature decreases the amount of product formed. Princeton 2012/Barron 4th ed. Essays 1. When the reaction below took place at a temperature of 570 K, the following equilibrium concentrations were measured (P10.3): N2(g) + 3H2(g) ↔ 2NH3(g) ∆H = -92.4 kJ [NH3] = 0.20 mol/L [N2] = 0.50 mol/L [H2] = 0.20 mol/L a. Write the expression for Kc and calculate its value. b. What is the value of Kp for the reaction? c. Describe how the concentration of H2 will be affected by each of the following changes to the system at equilibrium: i. The temperature is increased. ii. The volume of the reaction chamber is increased. iii. N2 gas is added to the reaction chamber. iv. Helium gas is added to the reaction chamber. 2. At a certain temperature, the reaction of hydrogen and chlorine to produce hydrogen chloride, all in the gas phase, has an equilibrium constant of 265. If 25.0 g of HCl is placed in a 150-L vessel and allowed to come to equilibrium, what will the concentrations of all species be? (B10.1) Princeton 2012/Barron 4th ed. Answers – Equilibrium Multiple Choice 1. B 2. C 3. E 4. E 5. C 6. D 7. D 8. D 9. D 10. A 11. E 12. E 13. C 14. B 15. C 16. B 17. E Essays 1. a. Kc = 10 b. Kp = 4.7×10-3 c. (i) increase (ii) increase (iii) decrease (iv) no effect 2. [H2] = 2.50×10-4; [Cl2] = 2.50×10-4; [HCl] = 4.07×10-3