(a) Describe the effect of temperature on the equilibrium constant.

(b) Industrial \(\mathrm{CH}_{3} \mathrm{OH}\) is prepared according to the reaction \[ \mathrm{CO}(\mathrm{g})+2 \mathrm{H}_{2}(\mathrm{~g})=\mathrm{CH}_{3} \mathrm{OH}(\mathrm{g}) \]
Assuming the reaction mixture attains a state of equilibrium, estimate the degree of conversion at \(500 \mathrm{~K}\) and 5 bar. If the reaction is satisfied with a stoichiometric mixture of \(\mathrm{CO}\) and \(\mathrm{H}_{2}\), determine the composition of equilibrium mixture at \(500 \mathrm{~K}\) and 5 bar. Data: \(\Delta G^{0}=22.048 \mathrm{~kJ} / \mathrm{mol}\).