Q$6$

$($a$)$ A liquid vapour containing $65\%($mol$)$ benzene and $35\%($mol$)$ toluene is subjected to flash vaporization at $363K$ and $101\mathrm{.}3$kPa. The vapour pressure of benzene and toluene at this temperature are $136\mathrm{.}09$kPa and $54\mathrm{.}21$kPa, respectively. Flash vaporization is essentially an equilibrium stage operation. Calculate

$($i$)$ the exit vapor composition

$($ii$)$ the exit liquid composition

$($iii$)$ the mole percent of the feed vaporized