EXERCISE $2\mathrm{.}4$: A feed stock available at a rate of $1000$gmo$\frac{l}{L}$ an consisting of $($mole$\%)20\%$ propene, $30\%$ isobutene, $20\%$ isopentene, $30\%n-$pentene is to be separated into $2$ fractions by distillation. The distillate is to contains all of the propene feed to the unit and $60\%$ of the isopentene fed to the unit and is to consist of $40\%$ isobutane. The bottom stream is contain all the $n-$pentene fed to the unit. Calculate the complete distillate and bottom analysis.