The esterification of ethanol with acetic acid takes place at \(373 \mathrm{~K}\) as

\[ \mathrm{CH}_{3} \mathrm{COOH}(\mathrm{l})+\mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}(\mathrm{l}) \rightarrow \mathrm{CH}_{3} \mathrm{COOC}_{2} \mathrm{H}_{5}(\mathrm{l})+\mathrm{H}_{2} \mathrm{O}(\mathrm{l}) \]

The equilibrium constant is given by \(K_{x}=2.92\). Initially the liquid mixture contains \(5.0 \mathrm{kmol} \mathrm{CH}_{3} \mathrm{COOH}, 10.0 \mathrm{kmol} \mathrm{C}_{2} \mathrm{H}_{5} \mathrm{OH}\) and \(10.0 \mathrm{kmol} \mathrm{H}_{2} \mathrm{O}\). Estimate the extent of the reaction at equilibrium concentration of the composition of the liquid mixture.