Question & Answer: The water-gas shift reaction plays an important role in the production of clean fuel from coal……

19. The water-gas shift reaction plays an important role in the production of clean fuel from coal. CO(g) + H2O(g) COdg) + H2(g) Use the following thermodynamic data to determine the equilibrium constant Kp at 700. K COg H08 CO(8) -393.5 H2(g) Substance: Af (kJ/mol): o(J/mol.K) Ans. Kp = 7.50) -110.5 197.7 241.8 188.8 213.7 130.7 20 Sunnose 0 500atm ofH2S 0 Hn and S0, are added to a 1 Q00L. container at 25 °C Calculate AG for this reaction under these

The water-gas shift reaction plays an important role in the production of clean fuel from coal. CO(g) + H_2O(g) leftrightarrows CO_2(g) + H_2(g) Use the following thermodynamic data to determine the equilibrium constant K_p at 700. K.

Expert Answer

Answer

Enthalpy of reaction = sum of enthalpy of products- sum of enthalpy of reactants

For the reaction, deltaH= 1* deltaH of CO2+1* deltaH of H2- { 1* deltaH of CO+1*deltaH of H2O}

1,1,1 and 1 are coefficients of CO2, H2, CO and H2O respectively.

deltaH= 1*-393.5+1*0 –{ 1*-110.5+1*(-241.8)}=-41.2 KJ/mole

similarly, deltas= 213.7*1+1*130.7- ( 1*197.7+1*188.8)=-42.1 J.mol.K

deltaG= deltaH-T*delts = -41.2*1000+700*42.1 =-11730 J/mole

but deltaG=-RTlnK, K= equilibrium constant

-11730= -8.314*700*lnK

K= 7.5

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