A gaseous mixture containing $20\%$ CO$,55\%$ H$2,20\%$ inert gas is sent to a reaction chamber for methanol synthesis. The following reaction occurs at $625$K and $300$bar

CO$($g$)+2$H$2($g$)->$ CH$3$OH$($g$)$

Assuming that the gas mixtures behaves as an ideally solution, calculate the percentage conversion of CO given that Kf $=5$x$10-5,$ K$=0\mathrm{.}35$