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NAME ___________________________ DATE ________________ DUE DATE _______________ The Equilibrium Constant PART A: Show your work 1. Write balanced chemical equations for each of the following. Pay close attention to the physical states! NOTES: You must include the charge when writing ions, otherwise your answer is incorrect. Do not balance these equations using fractions for coefficients. a) sulfur dioxide gas combines with oxygen gas to produce sulfur trioxide gas b) carbon monoxide gas burns in gaseous oxygen to produce carbon dioxide gas c) hydrogen chloride gas is produced from hydrogen gas and chlorine gas. d) nitrogen gas and oxygen gas combine to produce gaseous dinitrogen oxide. e) solid hydrogen cyanide dissolves to produce hydrogen ions and cyanide ions in solution. f) solid silver chloride dissolves to produce silver ions and chloride ions in solution. g) calcium ions and phosphate ions come out of solution to produce solid calcium phosphate. 2. For each of the above reactions, write the equilibrium expression, Keq, for the reaction. Remember not to include solids or liquids in the equilibrium constant expression. (Write these on the right hand side next to the rxs) 3. The balanced equilibrium rx for the synthesis of ammonia is: _____________________________________ At 200°C the concentrations of nitrogen, hydrogen, and ammonia at equilibrium are measured and found to be: [N2] = 2.12 M [H2] = 1.75 M [NH3] = 84.3 M Calculate Keq at this temperature. 1 NAME ___________________________ DATE ________________ DUE DATE _______________ 4. For each of the following equilibrium systems, identify whether the reactants or products are favored at equilibrium, or whether they are equally favored. a) COCl2 (g) ↔ CO(g) + Cl2 (g) Keq = 8.2× 10-2 at 627°C _________________ b) C(s) + 2 H2 (g) ↔ CH4 (g) Keq = 8.1× 108 at 25° C _________________ c) PCl5 (g) ↔ PCl3 (g) + Cl2 (g) Keq = 2.24 at 227°C _________________ d) H2 (g) + Cl2 (g) ↔ 2 HCl(g) Keq = 1.8 × 1033 at 25°C _________________ e) C(s) + H2O (g) ↔ CO(g) + H2 (g) Keq = 1.96 at 1000°C _________________ f) Mg(OH)2 (s) ↔ Mg2+(aq) + 2 OH-(aq) Keq = 1.2× 10-11 at 25°C _________________ 5. For the reaction: carbon monoxide burns in oxygen to produce carbon dioxide You are given the following equilibrium conditions: [O2] = 1.30 × 10-3M [CO2] = 2.50 × 10-4M Keq = 3.60 × 10-3M Write the balanced equilibrium equation and calculate [CO] 6. For the reaction: sold carbon reacts with hydrogen gas to produce ethane gas, C 2H6 You are given the following equilibrium conditions: [C2H6] = 2.50 × 10-2 M Keq = 1.60 × 102 Write the balanced equilibrium equation and calculate [H2] 7. a) What is meant by a reversible reaction? b) Are all chemical reactions reversible? c) Are all reversible reactions always at equilibrium? d) Does a reaction have to be reversible in order to reach equilibrium? e) What, exactly, is equal at equilibrium? (define equilibrium) f) How is equilibrium different from a steady state system? 2 NAME ___________________________ DATE ________________ DUE DATE _______________ 8. Write the equilibrium expression for each of the following reactions. Be sure to pay attention to physical states: a) Br2 (g) + 5 F2 (g) 2 BrF5(g) b) 4 HCl (g) + O2(g) 2 H2O (g) + 2 Cl2 (g) c) 5 Fe+2(aq) + MnO4-(aq) + 8 H+(aq) 5 Fe+3(aq) + Mn+2(aq) + 4 H2O(l) 9. For each of the following reactions, state whether the value of the equilibrium constant favours the formation of reactants, products, or both sides equally. a) I2(g) + Cl2(g) 2 ICl(g) Keq = 2 x 106 b) H2(g) + Cl2(g) 2 HCl(g) Keq = 1.08 c) I2(g) I(g) + I(g) Keq = 3.8 x 10-7 10. Molecular chlorine decomposes into atoms according to the reaction: Cl2 (g) 2 Cl (g) The equilibrium constant for the reaction at 25C is 1.4 x 10-38. Would many chlorine atoms be present at this temperature? How do you know? 3 NAME ___________________________ DATE ________________ DUE DATE _______________ 11. Calculate Keq for each of the following. Be sure to set up the equilibrium constant expression first, before substituting in the values. Show your work! Pay attention to exponents! a) H2(g) + Cl2(g) 2 HCl [H2] = 1.0 10-2 M [Cl2] = 1.0 10-2 M [HCl] = 1.0 10-2 M b) N2(g) + 3 H2(g) 2 NH3(g) [N2] = 4.4 10-2 M [H2] = 1.2 10-1 M [NH3] = 3.4 10-3 M c) 2 CO(g) + O2 (g) 2 CO2 (g) [CO] = 2.5 10-3 M [O2] = 1.6 10-3 M [CO2] = 3.2 10-2 M d) CH4(g) + H2O(g) CO(g) + 3 H2(g) [CH4] = 2.97 10-3 M [H2O] = 7.94 10-3 M [CO] = 5.45 10-3 M [H2] = 2.1 10-3 M 4 NAME ___________________________ DATE ________________ DUE DATE _______________ 12. For the following reaction at equilibrium at 2000C, the concentration of N2 and O2 are both 5.2 M. N2(g) + O2(g) 2 NO(g) Keq = 6.2 10-4 Calculate the concentration of NO at equilibrium. Show your work; pay careful attention to exponents. 13. Acetic acid, HC2H3O2, is in equilibrium with its ions: HC2H3O2(aq) H+(aq) + C2H3O2-(aq) Keq = 1.8 10-5 At equilibrium, the concentration of the ions are: [H+] = 1.33 10-3 M [C2H3O2-] = 1.33 10-3 M Calculate the concentration of the acid, HC2H3O2. 5