$(30$ pts$)$ A distillation column is running at one atmosphere. The feed rate is $100$kmo$\frac{l}{h}$ at $20C.$ The feed is $30$ mol$\%$ organic solvent $($A$)$ and $70$mol$\%$ water $($B$)$ liquid solution. We want a distillate product of $90$mol$\%$ of A and a bottom product of $5$mol$\%A.$ Equilibrium data are given in the figure and table below. $($Use either the graph below.

$\backslash$table$[[x_A,y_A,TC$