AP Chemistry Institute Gaseous Equilibrium Problem Set 1. An equilibrium mixture for the reaction: 2 H2S(gas) <====> 2 H2(gas) + S2(gas) had 1.0 mole of H2S, 0.20 moles of H2, and 0.80 moles of S2 in a 2.0-liter vessel. Kc equals: -3 -3 A) 4.0 x 10 M; B) 8.0 x 10 M; C) 0.16 M; D) 0.016 M; E) 0.032 M 2. Given: 2 A + B <===> 3 C + D (all gases). If equal numbers of moles of A and B are added to an empty flask, then the following must be true when equilibrium is attained: A) [D] = [B]; B) [A] = [B]; C) [A] > [B]; D ) [A] < [B]; E) [A] + [B] > [C] + [D]. 3. KP for the equilibrium, NH3(gas) + H2S(gas) <===> NH4HS(solid), is equal to: [NH4HS] A) --------------[NH3][H2S] D) PNH4HS - PNH3 - PH2S PNH4HS B) PNH3 x PH2S C) ----------------------PNH3 x PH2S E) none of these. 4. At a given temperature the equilibrium constant is 5.0 for the following reaction: CO + H2O <=====> CO2 + H2 (all gases) Analysis showed that an equilibrium mixture at this temperature contained 0.90 mole of carbon monoxide, 0.25 mole of water vapor, and 0.50 mole of hydrogen gas in a 5.0-liter container. How many moles of carbon dioxide were there in the equilibrium mixture? A) 2.3; B) 0.010; C) 0.45; D) 5.0; E) 0.90 5. Under the same conditions as in Question #4, 0.40 moles of H2 and 0.40 moles of carbon dioxide were placed in a 1.0-liter vessel. What will be the equilibrium concentration of water vapor? A) 0.28 M; B) 0.40 M; C) 0.80 M; D) 0.12 M; E) none of these. 6. Which of the following reactions has the least tendency to go to completion? +27 A) 2 H2(gas) + O2(gas) <=====> 2 H2O(liquid) K = 1.7 x 10 ; -31 B) N2(gas) + O2(gas) <====> 2 NO(gas) K = 5.0 x 10 ; +16 C) H2(gas) + Cl2(gas) <==> 2 HCl(gas) K = 3.2 x 10 ; -13 D) 2 HF(gas) <=====> H2(gas) + F2(gas) K = 1.0 x 10 ; -4 E) 2 NOCl(gas) <====> 2 NO(gas) + Cl2(gas) K = 4.7 x 10 7. The system 2 NO(gas) + Cl2(gas) <===> 2 NOCl(gas) at a given T contains at equilibrium 1.000 M NO, 0.1000 M Cl2, and 1.000 M NOCl, which yields KC = 10.00. How many moles per liter of NO need to be added to decrease the [Cl2] to 0.0500 M? A) 0.656; B) 0.099; C) 0.328; D) 0.149; E) 0.050 8. At 30 C an equilibrium mixture of N2O4(gas) and NO2(gas) exerted a total pressure of 0.750 atm. The partial pressure of N2O4 was 0.500 atm. KP for the reaction N2O4(gas) <===> 2 NO2(gas) is: A) 1.50; B) 0.667; C) 0.125; D) 0.500; E) 1.00 o -2o 9. What is KP at 25 C for the reaction: N2(gas) + 3 H2(gas) <===> 2 NH3(gas) based on the data from a thermodynamics table? 2 3 5 -3 -6 A) 7.7 x 10 ; B) 1. 08 x 10 ; C) 5.9 x 10 ; D) 1.3 x 10 ; E) 1.7 x 10 . 10. At a temperature of about 425 C, the equilibrium mixture (EQ) given below prevails: o H2(gas) + I2(gas) <=====> 2 HI(gas) H = -9.46 kJ EQ: 0.1000 M 0.1000 M 0.7000 M o If suddenly 0.0500 mole/liter of H2, 0.0500 mole/liter of I2, and 0.3500 mole/liter of HI were added, the result would be that: A) more HI would form; B) more H2 and I2 would form; C) the equilibrium would be shifted to the right; D) heat would be absorbed by the system ; E) no net chemical reaction would occur. 11. o -5 -4 What is G in kJ for a process at 25 C having K = 1.0 x 10 and Q = 1.0 x 10 ? A) +5.70; B)-10.0; C) -5.70; D) +10.0; E) +8.31 The last set of questions deal with the following reversible reaction: N2O5(gas) <===> 2 NO2(gas) + 1/2 O2(gas) (T = 298.15 K) 12. 13. o o o Substance Hf , kcal/mole Gf , kcal/mole S , cal/mole-K N2O5(gas) NO2(gas) O2(gas) 3.35 8.09 -- 28.18 12.39 -- 85.00 57.47 49.00 o What is G rxn at 298.15K? A) -15.79 kcal; B) -11.36 kcal; C) -3.40 kcal; D) +16.18 kcal; What is the approximate value of KP at 298 K? 5 2 -6 A) ~ 2 x 10 ; B) ~ 3 x 10 ; C) ~1 x 10 ; D) ~ 10; E) +28.18 kcal. E) ~ 1 14. According to LeChatelier's principle, an increase in T (temperature) would result in all of the following EXCEPT: A) an increase in the value of K; B) an increase in the value of the specific rate constant, k; C) an increase in the percent decomposition of N2O5; D) an increase in the equilibrium partial pressure of oxygen; E) an increase in the value of EA, the activation energy. 15. What is the approximate value of KP at 373 K? 4 5 -6 A) ~ 2 x 10 ; B) ~ 3 x 10 ; C) ~4 x 10 ; 16. What are the units of KP? 2 A) atm; B) atm ; 3/2 C) atm ; D) ~0.1; D) atm -1/2 ; E) ~ 1 E) atm -1