A saturated-liquid feed of 69.4 mol% benzene (B) in toluene (T) is to be distilled at 1 atm to produce a distillate of 90 mol% benzene, with a yield of 25 moles of distillate per 100 moles of feed. The feed is sent to a steam-heated reboiler, where bottoms is withdrawn continuously. The vapor from the reboiler goes to a partial condenser and then to a phase separator that returns the liquid reflux to the reboiler. The vapor from the separator, which is in equilibrium with the liquid reflux, is sent to a total condenser to produce distillate. At equilibrium, the mole ratio of B to T in the vapor from the reboiler is 2.5 times the mole ratio of B to T in the bottoms. Calculate analytically and graphically the total moles of vapor generated in the reboiler per 100 mol of feed.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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A saturated-liquid feed of 69.4 mol% benzene (B) in toluene (T) is to be distilled at 1 atm to produce a distillate of 90 mol% benzene, with a yield of 25 moles of distillate per 100 moles of feed. The feed is sent to a steam-heated reboiler, where bottoms is withdrawn continuously. The vapor from the reboiler goes to a partial condenser and then to a phase separator that returns the liquid reflux to the reboiler. The vapor from the separator, which is in equilibrium with the liquid reflux, is sent to a total condenser to produce distillate. At equilibrium, the mole ratio of B to T in the vapor from the reboiler is 2.5 times the mole ratio of B to T in the bottoms. Calculate analytically and graphically the total moles of vapor generated in the reboiler per 100 mol of feed.

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