Methanol is produced commercially by reacting carbon monoxide and hydrogen over a metal oxide catalyst:

$CO(g)+2H_2(g)C{H}_{3}OH(g)$

Calculate the partial pressure equilibrium constant $(K_P)$ for the reaction at $298K.$ The standard enthalpies of formation and entropies are given in the table below for each species at $298K.$

$\backslash$table$[[$Species$,H_f^0(k\frac{J}{m}ol),S^0(\frac{J}{K}$mol$)$