A $100mo\frac{l}{s}$ liquid mixture of $50$mol$\%$ Benzene and $50$mol$\%$ Toluene at a pressure of $1520mm$

$Hg$ and $110C$ is fed to a distillation column equipped with a total condenser and a partial reboiler.

The pressure of the distillation column is $1520mmHg,$ the distillate product is specified to be $0\mathrm{.}50$

of the feed, and the reflux ratio $(\frac{L_0}{D})$ is $2.$ If the desired Benzene mole fraction in the distillate

stream is $0\mathrm{.}95$ and equimolar overflow $($EMO$)$ is assumed:

How many stages will be required to achieve the desired separation?

What is the optimum feed stage?

What is the minimum reflux ratio?

What is the minimum possible number of stages to achieve the desired separation? Please show work