Calculate the equilibrium composition of the reaction mixture for the following reaction

$CO+2H_{2}C{H}_{3}OH$

given that the feed composition is $25$mol$\%CO,65$mol$\%H_2$ and the rest is nitrogen gas. Assume the equilibrium constant, $K$ is expressed in terms of mole fractions of the species and its value is known to be $0\mathrm{.}0548$ at $450K.$ The pressure of the reacting mixture at equilibrium is $1\mathrm{.}2$atm.