We have $10$kmo$\frac{l}{h}$ of a saturated liquid that is composed of $40$mol$\%$ benzene $(B)$ and $60\%$ toluene $(1).$ We dosire a distillate composition with $99\mathrm{.}2$ mol$\%$ of benzene and a bottom product compasithon with $98\mathrm{.}6$mol$\%$ of toluene. The relative volatility, $,$ is $2\mathrm{.}4.$ The reflux is returned as a saturated liquid, and the column has a total condenser and a partial re$-$boller. Assume that CMO is valid

a$.$ Use the Fenske equation to determine $N_m.$

b$.$ Use the Underwood equations to find $R_{\text{a}\text{i}\text{n}}$

c$.$ For actual $R=1\mathrm{.}1R_{\text{m}\text{i}\text{n}},$ use the previous resuits from a and $b,$ and the Gilliland correlation to estimate the total number of stages and the optimum feed stage.

a$.$ repeat a$,$ b$,$ and c using Aspent