Using the diagrams, solve by the Ponchon Savarit method for the benzene and toluene system. Assume a flow of $5$ kmol$/$s of a mixture of methanol and ethanol $($saturated liquid$),$ with a composition of $40\%$ methanol.

It is required that at the outlet of the distillate there be a composition of $90\%$ and at the bottoms of $10\%$ of the most volatile component.

a$)$ Calculate the number of minimum stages

b$)$ Calculate the minimum reflux value

c$)$ Using a ratio of $1\mathrm{.}5$ of the minimum reflux, calculate the number of stages

d$)$ Calculate the flows of D and W

e$)$ Calculate a flow of steam and liquid in the depletion zone and in the rectification zone $(4$ in total$).$

Attach the diagrams with the necessary lines and the calculation memory. Enthalpy has units of kJ$/$kmol$.$