Could you please solve the letter d$)?$

A saturated$-$liquid mixture of $50$ mol$\%$ benzene $(A)$ and toluene $(B)$ is distilled at $101$kPa in a small

distillation column consisting of a reboiler, one equilibrium stage, and a total condenser. The reboiler

is equivalent to an equilibrium stage. The distillation column is to produce a distillate of $75$mol$\%$

benzene.

Assumptions: Constant molar overflow. Constant relative volatility ${}_{A,B}=2\mathrm{.}5,$ feed flowrate $100$ moles $\frac{?}{s}.$

Find: Is it possible to have the product with $75$mol$\%$ benzene? If it is possible, what is the flow rate of

the product from the top of the column and the corresponding composition and flow rate of the bottom

product under the following scenarios.

$($a$)$ Feed to the reboiler and no reflux.

$($b$)$ Feed to the reboiler and a reflux ratio, $\frac{L}{D}=3.$

$($c$)$ Feed to the stage and a reflux ratio of $3.$

$($d$)$ Same as $($c$)$ except a partial condenser is used instead of a total condenser.