Consider the reaction for the production of methanol from CO and H$2$

CO $($g$)+2$H$2($g$)=$ CH$3$OH $($g$)$

The value of K at $500$ K is $6\mathrm{.}23$ x $10-3$

$.$

A gas stream containing equimolar amounts of CO and H$2$ is passed over a catalyst at $1$ bar.

What is the extent of reaction at equilibrium?

To obtain a more complete reaction the pressure is raised to $100$ bar and $2$ mol of hydrogen is

used per mole of CO$.$ What is the equilibrium extent of reaction?

If the reactant gases contain a mole of nitrogen in addition to $1$ mol of CO and $2$ mol of

hydrogen, what is the equilibrium extent of reaction at $100$ bar?