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A distillation column is separating 2000moles/hr of a 25mole% ethanol and 75 mole % water mixture. The feed enters as a subcooled liquid that will

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A distillation column is separating 2000moles/hr of a 25mole% ethanol and 75 mole % water mixture. The feed enters as a subcooled liquid that will condense 1 mole of vapor on the feed plate for every 5 moles of feed. The column has a partial condenser and uses open steam heating. Pure steam is injected at the bottom of the column. We desire a distillate product yD=0.75 and a bottoms product xB=0.05. Constant molal overflow is valid. The steam used is pure saturated water vapor. An LD ratio of 1.5 is used. (a) 16 marks Find the exact number (to one decimal point) of equilibrium stages needed (b) 2 marks Find the optimum feed location (c) 2 marks Why are the stages in a McCabe-Thiele diagram are called theoretical or equilibrium stages? (d) 6 marks Find the steam flow rate used. (e) (4 marks) What is the fractional recovery of ethanol in the distillate (Ratio of the amount of ethanol in the distillate to the amount of ethanol in the feed stream)? (f) 3 marks Find the composition of the liquid and vapour streams leaving tray number 3 A distillation column is separating 2000moles/hr of a 25mole% ethanol and 75 mole % water mixture. The feed enters as a subcooled liquid that will condense 1 mole of vapor on the feed plate for every 5 moles of feed. The column has a partial condenser and uses open steam heating. Pure steam is injected at the bottom of the column. We desire a distillate product yD=0.75 and a bottoms product xB=0.05. Constant molal overflow is valid. The steam used is pure saturated water vapor. An LD ratio of 1.5 is used. (a) 16 marks Find the exact number (to one decimal point) of equilibrium stages needed (b) 2 marks Find the optimum feed location (c) 2 marks Why are the stages in a McCabe-Thiele diagram are called theoretical or equilibrium stages? (d) 6 marks Find the steam flow rate used. (e) (4 marks) What is the fractional recovery of ethanol in the distillate (Ratio of the amount of ethanol in the distillate to the amount of ethanol in the feed stream)? (f) 3 marks Find the composition of the liquid and vapour streams leaving tray number 3

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