\(10.0 \mathrm{kmole}\) of a \(40.0 \mathrm{~mol} \%\) methanol and \(60.0 \mathrm{~mol} \%\) water mixture is batch distilled. The system consists of a column with two equilibrium stages, a still pot (an equilibrium contact), and a total condenser. The system is operated with a reflux ratio \(\mathrm{L} / \mathrm{D}=0.515\). The final concentration of methanol in the still pot is \(\mathrm{x}_{\mathrm{W} \text {,final }}=0.075\). CMO is valid. If you use Simpson's rule, break the area into at least two parts. Find \(\mathrm{W}_{\text {final }}, \mathrm{D}_{\text {total }}\), and \(\mathrm{x}_{\mathrm{D}, \text { avg }}\).