It is intended to separate a benzene$-$toluene mixture with $30\%$ benzene by volume into a

bottoms product with $95\%$ toluene and a distillate with $90\%$ benzene. There is a $5$ reflux

ratio. Ascertain the feed tray's location and the number of theoretical trays.

a$)$ In case saturated vapor is the feed

b$)$ In the event that the feed is $283K$ in temperature.

$M_B=78\frac{g}{m}ol,T_{\text{B}\text{e}\text{n}\text{z}\text{e}\text{n}\text{e}}=353\mathrm{.}3K$

$M_T=92\frac{g}{m}ol,T_{\text{T}\text{o}\text{l}\text{u}\text{e}\text{n}\text{e}}=383\mathrm{.}8K$

$=30000k\frac{j}{k}$mol,$C_{PL}=1\mathrm{.}84k\frac{j}{k}gK$