A liquid containing $50$mol$\%n-$Hexane and $50$mol$\%n-$Octane is required to be separated under flash distillation until $65\%$ of the liquid is distilled. The vapor pressure$-$equilibrium data for the system n$-$hexane and n$-$octane at $101\mathrm{.}32$kPa is given below:

$\backslash$table$[[,$Vapor$-$liquid equilibrium data for n$-$Hexane $-$ n$-$Octane mixture.,,,$],[$Tem$,C,\backslash$table$[[$Vapor Pressure,$],[kPa(P_A)$