Chem 1B Answers to Chapter 13 HW Exercises for Zumdahl’s 8th edition. (Problem numbers in parentheses are for 7th edition.) 15 (11) Numbers of molecules at equilibrium: 4 H2O, 2 CO, 4 H2, and 4 CO2. 24 (20) (a) Kp = 5.3 x 10-3; 27 (23) K = 1.7 x 10-5; 30 (26) Kp = 3.8 x 104; 32 (28) K = 23 40. Kc = Kp = 0.0900; (b) Kp = 2.9 x 10-5; (c) 190 Qp = 1.21 x 103 mixture is not at equilibrium. (a) Qp = 1.0 x 102 > Kp not equilibrium; reaction shifts left (b) Qp = 0.090 = Kp equilibrium (c) Qp = 110 > Kp not equilibrium; reaction shifts left 45 (39) [SO3] = [NO] = 1.30 M; [SO2] = [NO2] = 0.70 M; Kc = 3.4 49 (43) [H2]0 = 5.0 M + 6.0 M = 11.0 M; 51 (45) [SO2] = [NO2] = 0.54 M; [SO3] = [NO] = 1.06 M. 53 (47) PNO = 7.8 x 10-2 atm; PN2 = 0.76 atm; PO2 = 0.16 atm 59 (53) [CO2]e = 0.39 M; [CO] = 8.6 x 10-3 M; 61 (55) PNH3 = 0.18 atm; PCO2 = 0.090 atm; Ptotal = 0.27 atm 65 (59) (a) shift right; (b) shift right; (c) No effect; (d) shift left; (b) Shift right; (c) No effect; (d) Shift right [N2]0 = 8.0 M + 2.0 M = 10.0 M; [O2] = 4.3 x 10-3 M. (e) No effect; 68 (62) (a) Shifts left; (e) Shift right 81 (65) K = (1.5 x 1048)(1.7 x 1033) = 2.6 x 1081 88 (69) (a) Initial PPCl5 = 1.16 atm; (b) PPCl5 = 0.10 atm (at equilibrium) (c) At equilibrium, PPCl3 = PCl2 = 1.06 atm, PPCl5 = 0.10 atm; Ptotal = 2.22 atm 92 (72) (a) Doubling the volume decreases concentrations - reaction shifts to the left to increase concentrations; (b) Adding Ag+, reduces SCN- due to formation of AgSCN – reaction shifts left; (c) Adding OH-, decreases Fe3+ due to formation of Fe(OH)3 precipitate – reaction shifts left; (d) Adding Fe3+, reaction shifts right. 93 (73) OH- reacts with H+ to form H2O, decreasing H+ and reaction shifts right to produce more H+ and CrO42- and decreasing Cr2O72- solution changes from orange to yellow. Chem 1B 94 (74) The reaction: N2 + 3H2 2NH3 is exothermic (a) Increasing the temperature causes the equilibrium to shifts left and decreasing K value, but the reaction rate will increase – producing NH3 at shorter time. At low temperature the reaction shift right and increasing the yields of NH3 at equilibrium. However, the reaction will be too slow to be of any use. (b) Removing NH3 causes reaction to shift right – making more NH3; (c) A catalyst increases both forward and reversed reaction – no net change to concentration at equilibrium. However, the reaction rate becomes faster and equilibrium amount of NH3 is formed at much shorter time. (d) Increasing pressure caused reaction to shifts right, reducing the number of gas molecules. More NH3 will be produced. 100 (80) (a) PNO = 0.0526 atm; (b) PNO = 0.052 atm; PBr2 = 0.0159 atm, PNOBr = 0.0768 atm; PBr2 = 0.18 atm; PNOBr = 0.25 atm and Kp = 134 103 (83) Kp = 4.2 Doubling the volume decreases pressure by a factor of 2; PNO2 = 0.600 atm and PN2O4 = 0.17 Qp = 2.1 < Kp reaction shifts right; Pressures at new equilibrium: PNO2 = 0.704 atm; PN2O4 = 0.12 atm 104 (84) (a) Partial pressure of CO2 and H2O are: PCO2 = PH2O = 0.50 atm (b) Mole of Na2CO3 = mole of CO2 = (0.50 atm)(1.00 L) = 0.015 mol (0.08206 L.atm/mol .K)(398 K) Mass of Na2CO3 = (0.015 mol)(105.99 g/mol) = 1.6 g Mass of NaHCO3 reacted = 2 x 0.015 mol x 84.01 g/mol = 2.5 g Mass of NaHCO3 at equilibrium = 10.0 – 2.5 = 7.5 g (c) Mole of CO2 produced when 10.0 g of NaHCO3 is completely decomposed = 10.0 g x 1 mol CO 2 1 mol x = 5.95 x 10-2 mol CO2 84.01 g 2 mol NHCO 3 Minimum volume of container needed to enable all of NaHCO3 to decompose is V = nRT/P = (5.95 x 10-2 mol)(0.082 06 L.atm/mol .K)(398 K) = 3.9 L 0.50 atm 111 (91) Mole of NH4HS produced at equilibrium = 5.00 L x 0.350 mol/L = 1.75 mol Total mole of NH4HS = 2.00 mol + 1.75 mol = 3.75 mol Total mass of NH4HS at equilibrium = 3.75 mol x 51.12 g/mol = 192 g Partial pressure of H2S = (0.050 mol/L)(0.08206 L.atm/K.mol)(308.2 K) = 1.3 atm