IMPORTANT!!!! I wantbto make sure if the soln is correct and if so I need full explanation please MCQ : CHAP$4($Non$-$reactive system$)$

Example $1$: The mixture that contains $30$ mole $\%$ n$-$pentane and the remainder $n-$hexane is to be separated into $95\%$ pure pentane and $95\%$ pure hexane using a distillation column. The feed enters the column at a rate of $1000$Kmo$\frac{l}{h}.$ Calculate the outlets mole flow rate.

Solution

$=>F=D+W=>100=D+W$

:$.D=277\mathrm{.}7$kmo$\frac{l}{h}$

$=>,x_{F}F=x_{D}D+x_{W}W$

$0\mathrm{.}3(100)=0\mathrm{.}95D+0\mathrm{.}05W$

Equ$(1)$ Equ$(2)$