A mixture of acetone and ethanol is fed to an enriching column. The feed flow rate is \(100.0 \mathrm{~mol} / \mathrm{min}\). Feed is \(60.0 \mathrm{~mol} \%\) acetone and is a saturated vapor. A liquid side product is withdrawn from the second stage below the total condenser at a flow rate of \(\mathrm{S}=15.0 \mathrm{~mol} / \mathrm{min}\). Reflux is returned as a saturated liquid. Distillate is \(90.0 \mathrm{~mol} \%\) acetone. External reflux ratio is L/D = 7/2. Column pressure is \(1.0 \mathrm{~atm}\). Column is adiabatic, and CMO is valid. Find mole fraction of acetone in the side stream \(\mathrm{x}_{\mathrm{S}}\), mole fraction of acetone in the bottoms \(\mathrm{x}_{\mathrm{B}}\), and number of equilibrium stages required. VLE data are in Problem 4.D7. Trial and error is not required.

Data From Problem 4.D7.

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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