Benzene $/$ Ethylbenzene System.

A rectification column is fed $100$kgmol$\frac{e}{h}r$ of a mixture that is $50$ mole $\%$ benzene $-50$ mole $\%$ ethylbenzene at $101\mathrm{.}325$kPa $($abs$)$ pressure. The distillate is to contain $98$ mole $\%$ benzene and the bottoms $90$ mole $\%$ ethylbenzene. The reflux ratio is $1\mathrm{.}40$:$1\mathrm{.}0.$

Assuming that the feed mixture is liquid at its boiling point $($saturated liquid$)$ determine $...$

a$)$ Calculate the flowrates $(mo\frac{l}{h}r)$ of the distillate and bottoms.

b$)$ Determine the theoretical number of trays and the feed tray number for the specified operation.

c$)$ Determine the minimum reflux ratio, RMIN and the minimum number of theoretical trays at total reflux.

d$)$ At the operating conditions determine the temperature of each tray $($stage$)$ including the reboiler.

e$)$ What is the boil$-$up ratio?