A distillation column with a partial condenser and a partial reboiler operating at \(1.0 \mathrm{~atm}\) is separating \(200 \mathrm{kmol} / \mathrm{h}\) of a feed that is \(60 \mathrm{~mol} \%\) acetone and \(40 \mathrm{~mol} \%\) 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 \(\mathrm{x}_{\mathrm{B}}=0.08\) acetone and the distillate is \(\mathrm{y}_{\mathrm{D}}\) \(=0.80\) mole fraction acetone. The boilup rate \({ }_{abla}=944.82 \mathrm{kmol} / \mathrm{h}\). Assume CMO is valid. VLE data are in Problem 4.D7.

Data Problem 4.D7.

a. Determine B and D.

b. Calculate \(\mathrm{q}=(\mathrm{L}-\mathrm{L}) / \mathrm{F}\) and the slope of the feed line. Then, plot the feed line.

c. Determine \({ }_{\llcorner}, \mathrm{L}\), and V.

d. Plot the operating lines.

e. Step off stages from the top down and determine the number of stages needed.

A distillation column with a total condenser is separating a feed that is 30 mol% acetone from ethanol. Distillate xD = 0.90, and bottoms xp = 0.13, both mole fractions acetone. Assume CMO is valid. L/V = 0.8. Boilup ratio is