In this you must draw the graph otherwise i dislike your solution

Example $8\mathrm{.}23$ : $100$kmo$\frac{l}{h}$ of a feed containing $40$ mole $\%$ hexane and $60$ mole $\%$ octane is to be distilled in a column consisting of a reboiler, plate and a partial condenser. The feed is a liquid at its boiling point and is fed into the reboiler from which a residue is continuously withdrawn. The reflux ratio is $2$kmol liquid$/$kmol distillate. The distillate contains $80$ mole $\%$ hexane.

$($i$)$ Using the McCabe $-$ Thiele method, calculate the bottom composition and moles of distillate per hour.

Equilibrium data :

$\backslash$table$[[y($mole fraction of hexane$),1\mathrm{.}0,0\mathrm{.}69,0\mathrm{.}40,0\mathrm{.}192,0\mathrm{.}045,0],[y($mole fraction of hexane$),1\mathrm{.}0,0\mathrm{.}932,0\mathrm{.}78,0\mathrm{.}538,0\mathrm{.}1775,0]]$