Multicomponent Flash $[30$ points$]$

A feed that is $45\mathrm{.}0$mol$\%$ n$-$butane, $35\mathrm{.}0$mol$\%n-$pentane, and $20\mathrm{.}0$mol$\%n-$hexane is fed at a rate of $1\mathrm{.}0$ kmo$\frac{l}{m}in$ to a flash drum operating at $50C$ and $200$kPa. You may use the DePriester charts if needed.

$($a$)$ Find V$/$F

$($b$)$ What are the liquid mole fractions and vapor mole fractions for each component?

$($c$)$ What are the flowrates of $L$ and $V?$

$($d$)$ Verify the answers above using SYMMETRY $(9$ pts$)$