A feed of $65\%($mole$)$ Hexane and $35\%($mole$)$ Octane is fed to a pipe still through a pressure reducing valve into a flash disengaging chamber. The vapour and liquid leaving the chamber are assumed to be in equilibrium. If $60\%($mole$)$ of feed is vaporized, find the composition of the top and bottom products. Equilibrium data are given below.

Mole fraction of Hexane in liquid $($x$)1\mathrm{.}000\mathrm{.}690\mathrm{.}400\mathrm{.}1920\mathrm{.}0450\mathrm{.}00$

Mole fractions of Hexane in vapor $($y$)1\mathrm{.}000\mathrm{.}9320\mathrm{.}780\mathrm{.}5380\mathrm{.}17750\mathrm{.}0$