Question $1$

A distillation column operating at $101$kPa is to separate $30$kmo$\frac{l}{h}r$ of a solution of benzene

$(C_6{H}_6)$ and toluene $(C_6{H}_{5}C{H}_3)$ containing $0\mathrm{.}6$ mole fraction toluene into an overhead product

containing $0\mathrm{.}97$ mole fraction benzene and a bottoms product containing $0\mathrm{.}98$ mole fraction

toluene. The feed is saturated liquid. The reflux is saturated liquid at $2\mathrm{.}5$ times the minimum

reflux ratio.

$($a$)$ Determine the top and bottom product rates.

$($b$)$ Determine the minimum reflux ratio graphically.

$($c$)$ Determine the minimum number of theoretical stages graphically.

$($d$)$ Determine the number of theoretical stages graphically.