\(50 \mathrm{kmol} / \mathrm{h}\) of a vapor feed that is \(70 \mathrm{~mol} \%\) methanol and \(30 \mathrm{~mol} \%\) water is partially condensed in a heat exchanger and then fed to a flash drum operating at a pressure of \(1.0 \mathrm{~atm} .20 \mathrm{kmol} / \mathrm{h}\) of liquid product is collected.

a. Find mole fractions of methanol in the liquid and in the vapor.

b. Find the temperature of the drum.