Specify any assumptions that you make and provide justification for it$.$ Support your answers

with detailed calculations. Use of MATLAB is expected.

A $100ml$ of equimolar solution of benzene$(1)$ and toluene$(2)$ at ambient conditions and

$101\mathrm{.}33$kPa $)$ is to be enriched to $0\mathrm{.}95$ mole fraction of benzene. To do so the following two strategies

are suggested.

Strategy$-1$: The solution is kept in a beaker and is continuously heated from the bottom, at

constant pressure. The vapors emanating from the top are collected and condensed in a

separate vessel. This process is continued until the mole fraction of benzene reaches $0\mathrm{.}95.$

Strategy$-2$: The solution is flashed at constant temperature, i$.$e$.,$ the pressure is suddenly reduced

below the bubble point pressure and thus, the solution partially evaporates; the vapors

generated are collected separately and condensed. The process is repeated until the mole

fraction of benzene reaches $0\mathrm{.}95.$

Assuming that the system follows Raoult's law, answer the following:

$($a$)$ Among the two strategies given above, which one produces more amount of solution with

$0\mathrm{.}95$ mole fraction of benzene?

$($b$)$ How will your answer change if a $100ml$ of equimolar solution of benzene$(1),$ toluene$(2)$ and

ethylbenzene$(3)$ is used as the starting mixture?

Constants for Antoine equation:

$ln\frac{P^{\text{s}\text{a}\text{t}}}{k}Pa=A-\frac{B}{\frac{t}{}C+C}$

Benzene: $A_1=13\mathrm{.}8858,B_1=2788\mathrm{.}51,C_1=220\mathrm{.}79$

Toluene: $A_2=13\mathrm{.}9987,B_2=3096\mathrm{.}52,C_2=219\mathrm{.}48$

Ethylbenzene: $A_3=14\mathrm{.}0045,B_3=3279\mathrm{.}47,C_3=213\mathrm{.}20.$