A distillation column with two stages plus a partial reboiler and a partial

condenser is separating benzene, toluene, and xylene. Feed rate is $100$ kmol$/$h$,$

and feed is a saturated vapor introduced on the bottom stage of the column.

Feed compositions $($mole fractions$)$ are zB $=0\mathrm{.}35,$ zT $=0\mathrm{.}40,$ zX $=0\mathrm{.}25.$ Reflux is a

saturated liquid and p $=16$ psia. A distillate flow rate of D $=30$ kmol$/$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