Question
A distillation column, as shown in the figure, is a device used to separate components with different volatilities. A distillation column has a feed stream,
A distillation column, as shown in the figure, is a device used to separate components with different volatilities. A distillation column has a feed stream, a top outlet stream, and a bottom outlet stream. The top outlet stream enters a condenser. The condenser outlet stream is split into a reflux stream and an overhead product stream. The reflux stream returns to the distillation column. The bottom outlet stream of the distillation column enters a reboiler. The reboiler has two outlet streams, a bottoms product stream and a boilup stream that returns to the distillation column.In a specific process, a distillation column is used to separate a feed stream containing 0.5700 mol ethanol/mol and 0.4300 mol water/mol into two product streams: an overhead stream that is ethanolrich and a bottoms stream that is waterrich. Vapor containing 0.7610 mol ethanol/mol and 0.2390 mol water/mol leaves the top of the distillation column and enters a condenser, where the stream condenses completely into a liquid. This stream is then split; the reflux returns to the column, and the overhead product leaves the process. The ratio of the flow rates of reflux to overhead product is given by the reflux ratio and for this particular process, =1.27.=1.27. Liquid leaving the bottom of the distillation column enters a reboiler, where a fraction of the stream is vaporized and returns to the distillation column as boilup, while the liquid fraction leaves the process as bottoms product. The composition of the boilup and the bottomsproduct streams are governed by the relative volatility, ,, of ethanol and water.where EE is the mole fraction of ethanol in the vapor stream, WW is the mole fraction of water in the vapor stream, EE is the mole fraction of ethanol in the liquid stream, and WW is the mole fraction of water in the liquid stream. For this particular process =8.197,=8.197, and the ratio of ethanol leaving the reboiler in the boilup to ethanol leaving the reboiler in the bottoms product is 0.660.0.660. For a basis of 100 mol of feed, 72.2772.27 mol of overhead product is produced. Given this basis, answer the questions.
A. Label the process flow diagram. Label any quantities as "unknown" if they are not given or implied. Do not leave any blank spaces. Variable names are given for reference later.
B. Given the basis, what is 6, the moles of bottoms product? n6 = _________________ mol
C. What is x6, the mole fraction of ethanol in the bottoms product? x6 =______________ molE/mol
D. What is 2, the moles of vapor leaving the distillation column (before the condenser)? n2 = ____________ mol
E. What is 7, the mole fraction of ethanol in the boilup stream? y7=_________ molE/mo;
f. What is 7,, the moles of boilup? n7= ___________
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