The gas phase reaction between methanol $(C{H}_{3}OH)$ and acetic acid $(C{H}_{3}COOH)$ to form methyl acetate$(C{H}_{3}COOC{H}_3)$ and water $(H_{2}O)$

$C{H}_{3}OH+C{H}_{3}COOHC{H}_{3}COOC{H}_3+H_{2}O$

takes place in a continuous reactor fed with equimolar quantities of methanol and acetic acid. If the equilibrium constant for this reaction equals $4\mathrm{.}87,$ determine the conversion of methanol in the reactor assuming the exit gases are at equilibrium.

PLEASE SEE: Please work it out correctly and send the answer written down on a paper. Thanks!