$mo\frac{l}{h}$ of a liquid binary mixture of $40\mathrm{.}0$mol$\%$ methanol and the balance ethanol is fed to

a distillation column. The distillate product is $68\%$ pure and the contains $76\%$ of the fed

methanol. Calculate the distillate and bottoms flow rates and the composition of the bottoms

product. $($Note that methanol is more volatile than ethanol, as you could also determine by

comparing their normal boiling points.$)$