Methanol is formed from carbon monoxide and hydrogen in the gas phase reaction

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

The equilibrium constant at $450K$ is $0\mathrm{.}25at{m}^{-2}.$ If a reactor is fed with gas composed of $40$mole$\%H2,50$ mole$\%$ CO and the balance N$2($an inert gas$)$ and reaction occurs at $2$atm,$450K$ determine the conversion of CO in the reactor assuming equilibrium is established. Assume a basis of $100$ moles feed.

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