A gas mixture containing $25\%$ CO$,55\%$ H$2$ and $20\%$ inert gas is to be used for

methanol synthesis. The gases are passed to a catalyst chamber where the following

reaction takes place

$()+22$

$()->3()$

at a pressure of $300$ bar and temperature of $625$ K$.$ Assume that the equilibrium

mixture forms an ideal solution and $$ and $$ are $4\mathrm{.}9\backslash$times $105$

and $0\mathrm{.}35$ respectively.

What are the composition of all the components?