QUESTION $1$

Xolani is a chemical engineering student working at a separation company. He was given a mixture of hydrocarbons to separate in a continuous distillation column. The $25\%$moln$-C_5.$ The feed has a flow rate of $200$kmo$\frac{l}{h}$ and enters as a liquid at the boiling point. It is desired to recover $96\%$ mole fraction of the light key in the distillate and $92\%$ of the heavy key in the bottom product. The average relative volatility $()$ values are given in Table $1.$

Table $1$: The average relative volatility $()$

$\backslash$table$[[$Feed stream,$$

$1\mathrm{.}3$ use underwood's method to determine the minimum reflux ratio $($Rmin$)($ estimated values of are $1\mathrm{.}2,1\mathrm{.}3$ and $1\mathrm{.}4)$