Q$1)$ A batch distillation operating at $101\mathrm{.}3$kPa with a total condenser is deployed to separate a watermethanol mixture, which the feed is $3$kmol containing $60\%$ methanol. The desired product contains $18\%$ methanol. The distillation system contains a still pot and a column with one equilibrium stage. Given that the reflux is saturated liquid, and L$/$D is kept constantly at $1\mathrm{.}8.$ Calculate $W_{\text{f}\text{i}\text{n}\text{a}\text{l}},D_{\text{t}\text{o}\text{t}\text{a}\text{l}},$ and $x_{D,\text{a}\text{v}\text{g}}$