A distillation column with a partial condenser and a partial reboiler operating at $1\mathrm{.}0$atm is separating

$200$kmo$\frac{l}{h}$ of a feed that is $60$mol$\%$ acetone and $40$mol$\%$ ethanol. The feed is a subcooled liquid,

and $12$ moles of the feed condense one mole of vapor in the column. The feed is fed to the fourth

stage below the partial condenser. The bottoms mole fraction is $x_B=0\mathrm{.}08$ acetone and the distillate is

$y_D=0\mathrm{.}80$ mole fraction acetone. The boilup rate $\frac{?}{\text{b}\text{a}\text{r}}(V)=944\mathrm{.}82$kmo$\frac{l}{h}.$ Assume CMO is valid. VLE data

are in Problem $4.$D$7.$

a$.$ Determine B and D$.$

b$.$ Calculate $q=\frac{\frac{?}{\text{b}\text{a}\text{r}}(L)-L}{F}$ and the slope of the feed line. Then, plot the feed line.

c$.$ Determine $\frac{?}{\text{b}\text{a}\text{r}}(L),L,$ and $V.$

d$.$ Plot the operating lines.

e$.$ Step off stages from the top down and determine the number of stages needed.Data for Problem # $1$

Equilibrium data for acetone $($A$)$ and ethanol at $1$ atm $($Perry et al$.,1963,$ pp$.13-4)$: