QUESTION $3(20$ Marks$)$

A mixture containing equimolar amounts of benzene $(1),$ toluene $(2)$ and ethylbenzene $(3)$ is flashed at $110C$ and $90$kPa. Assuming that the Raoult's law is appropriate to this system, calculate the followings:

$($a$)$ Molar fraction $V$ of the vapours formed.

$(10$ Marks$)$

$($b$)$ Equilibrium mole fractions $(x_i,y_i)$

$(10$ Marks$)$