A mixture containing $45$ mol$\%$ hexane and $55$ mol$\%$ octane will be subjected to flash $($balance$)$ distillation. Half of the $100$ moles of feed will be passed into the vapor phase. Find the composition of liquid and vapor products. For this system, the relationship between liquid phase composition x and vapor phase composition y is given as follows: y$=1\mathrm{.}324$x$.$ The boiling point of hexane is $69$ oC$,$ the boiling point of octane is $125\mathrm{.}6$ oC chegg