We have a feed mixture of \(22.0 \mathrm{~mol} \%\) methanol, \(47.0 \mathrm{~mol} \%\) ethanol, 18.0 \(\mathrm{mol} \% \mathrm{n}\)-propanol, and \(13.0 \mathrm{~mol} \% \mathrm{n}\)-butanol. The feed is a saturated liquid, and \(\mathrm{F}=10,000 \mathrm{kmol} /\) day. Recover \(99.8 \%\) of methanol in distillate, and obtain a methanol mole fraction in distillate of 0.99 .

a. Find \(\mathrm{D}\) and \(\mathrm{B}\).

b. Find the compositions of distillate and bottoms.