Using equilibrium to calculate product

Question

Assignment:

At low to moderate pressures, the equilibrium state of the water gas shift       
CO (g)  +  H2O (g)    ↔     CO2 (g)  +  H2 (g)

reaction is approximately described by the relation

        k_p =  Pco₂ PH₂/ PcoPH₂0 = 0.0247e^4020/t(K)
   
The feed to a continuous shift reactor contains 30 mol% CO, 10 mol% CO2, 40 mol% water and the balance an inert gas. The reaction proceeds to equilibrium.

(a) Calculate the moles of hydrogen produced per mole of water if the reaction is carried out at 1123 K.                                    
(b) Calculate the temperature at which the reaction should be run to achieve a fractional CO conversion of 75 %.   

Provide complete and step by step solution for the question and show calculations and use formulas.