The reaction SO_2(g) + 2H_2S(g) 3S(s) + 2H_2O(g) b the basis of a suggested meth

Question

The reaction SO_2(g) + 2H_2S(g) 3S(s) + 2H_2O(g) b the basis of a suggested method for removal of SO_2. a polutant that irritates always causing coughing. from power-plant stack gases The values below may be helpful when answering Questions about the process. Assume that the partial pressure of sulfur dioxide. P_SO_2, IS equal to the partial pressure of dihydrogen sulfide, P_H_2S, and therefore P_so_2 If the vapor pressure of water 28 torr calculate the equilibrium partial pressure of SO_2, (P_SO_2) in the system at 298 K. Express the pressure in atmospheres to two significant figures.

Explanation / Answer

Gibbs free energy change = 2* gibbs free energy change of water – { Gibbs free energy change of SO2 + gibbs free energy change of H2S}

=2*(-228.6)- { -300.4+2*(-33.01)=-90.78 Kj

From delG= -RTlnK

90.78*1000= 8.314*298.15 lnK

lnK= 36.62, K= 8.01*1015

=[H2O]2/ [SO2] [H2S]2=8.01*1015

saturation pressure = 28 Torr =28/760 atm=0.037 atm

given [SO2] =[H2S] =x

(0.037)2/ x3= 8.01*1015

Therefore x3= 1.71*10-19, x =5.5*10-7 atm

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