ASSIGNMENT $2$

A distillation column with two stages plus a partial reboiler and a partial condenser is separating benzene, toluene, and xylene. Feed rate is $100$kmo$\frac{l}{h},$and feed is a saturated vapor introduced on the bottom stage of the column. Feed compositions $($mole fractions$)$ are $z_B=0\mathrm{.}35,z_T=0\mathrm{.}40,z_x=0\mathrm{.}25.$ Reflux is a saturated liquid and $p=16$ psia. A distillate flow rate of $D=30$kmo$\frac{l}{h}$ is desired. Assume $Ki=$VPi$/$p$.$ Do not assume constant relative volatility, but do

assume Constant Molal Overflow. Use the matrix approach to solve mass balances and the bubble$-$point method for temperature convergence. For the first guess for temperature, assume that all stages are at the dew$-$point temperature of the feed. Do only one iteration.