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Substance 228.6 241.8 237.1 285.8 300.4 296.9 370.4 395.2 33.01 20.17 0 0 Gibbs

ID: 682906 • Letter: S

Question

Substance

228.6 241.8 237.1 285.8 300.4 296.9 370.4 395.2 33.01 20.17 0 0 Gibbs Free Energy and Equilibrium The reaction SO2(g) + 2H2S(g) 3S(s) + 2H2O(g) is the basis of a suggested methodfor removal of SO2 from power-plant stack gases. The values below may be helpfulwhen answering questions about the process. Assume that the partial pressure of sulfurdioxide, Pso2 , is equal to the partial pressure of dihydrogensulfide, PH2s , and therefore Pso2 = PH2s . If the vapor pressure of water is24 torr , calculate the equilibrium partial pressure of SO2 ( PSO2 ) in the system at 298 K . Express the pressure in atmospheresusing two significant figures.

Explanation / Answer

We Know that :          The givenReaction is :               Greaction = Gproducts - Greactants                        = [ 3 (0) + 2 (-228.6) ] KJ - [(-300.4) + 2 (-33.01) ] KJ                        = - 90.78 KJ      We Know that :       Greaction   = -2.303 R T logKp      - 90.78 x 103 J = - 2.303 x 8.314 J / mol-K x 298 K xlog PH2O2 / PSO2 x PH2S2          PH2O2 / PSO2 x PH2S2   = 8.1 x1015                    PSO2  = PH2S = X           (24 torr )2 / 8.1 x 1015 = X3                X = 4.180 x 10-5 torr.       The Pressure of   SO2 gas is 4.180 x10-5 torr.     Greaction = Gproducts - Greactants                        = [ 3 (0) + 2 (-228.6) ] KJ - [(-300.4) + 2 (-33.01) ] KJ                        = - 90.78 KJ      We Know that :       Greaction   = -2.303 R T logKp      - 90.78 x 103 J = - 2.303 x 8.314 J / mol-K x 298 K xlog PH2O2 / PSO2 x PH2S2          PH2O2 / PSO2 x PH2S2   = 8.1 x1015                    PSO2  = PH2S = X           (24 torr )2 / 8.1 x 1015 = X3                X = 4.180 x 10-5 torr.       The Pressure of   SO2 gas is 4.180 x10-5 torr.                X = 4.180 x 10-5 torr.       The Pressure of   SO2 gas is 4.180 x10-5 torr.