a) A distillation column with a partial reboiler and a total condenser is being used to separate a mixture of benzene (B), toluene (T), and cumene (C). The feed is 40 mol% benzene, 30 mol% toluene and 30 mol% cumene. The feed is input as a saturated vapor. We desire 99% recovery of the toluene in the bottoms and 98% recovery of the benzene in the distillate. The reflux is returned as a saturated liquid, and CMO can be assumed. Equilibrium can be represented as constant relative volatilities. Choosing toluene as the reference component, αBT = 2.25 and act = 0.210. Use the Fenske equation to find the number of equilibrium stages required at total reflux and the recovery fraction of cumene in the bottoms. b) For the distillation problem given in part (a), find the minimum reflux ratio by use of the Underwood equations. Use a basis of 100 moles of feed/h. Clearly state your assumptions. c) For R = 1.25 Rmin, find the total number of equilibrium stages required for the distillation problem presented in parts (a) and (b). Use the Gilliland correlation. Estimate the optimum feed plate location.

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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2) Ternary Mixture Separation
a) A distillation column with a partial reboiler and a total condenser is being used to separate a mixture of
benzene (B), toluene (T), and cumene (C). The feed is 40 mol% benzene, 30 mol% toluene and 30
mol% cumene. The feed is input as a saturated vapor. We desire 99% recovery of the toluene in the
bottoms and 98% recovery of the benzene in the distillate. The reflux is returned as a saturated liquid,
and CMO can be assumed. Equilibrium can be represented as constant relative volatilities. Choosing
toluene as the reference component, αBT = 2.25 and act = 0.210.
Use the Fenske equation to find the number of equilibrium stages required at total reflux and the
recovery fraction of cumene in the bottoms.
b)
For the distillation problem given in part (a), find the minimum reflux ratio by use of the Underwood
equations. Use a basis of 100 moles of feed/h. Clearly state your assumptions.
c)
For R = 1.25 Rmin, find the total number of equilibrium stages required for the distillation problem
presented in parts (a) and (b). Use the Gilliland correlation. Estimate the optimum feed plate location.
Transcribed Image Text:2) Ternary Mixture Separation a) A distillation column with a partial reboiler and a total condenser is being used to separate a mixture of benzene (B), toluene (T), and cumene (C). The feed is 40 mol% benzene, 30 mol% toluene and 30 mol% cumene. The feed is input as a saturated vapor. We desire 99% recovery of the toluene in the bottoms and 98% recovery of the benzene in the distillate. The reflux is returned as a saturated liquid, and CMO can be assumed. Equilibrium can be represented as constant relative volatilities. Choosing toluene as the reference component, αBT = 2.25 and act = 0.210. Use the Fenske equation to find the number of equilibrium stages required at total reflux and the recovery fraction of cumene in the bottoms. b) For the distillation problem given in part (a), find the minimum reflux ratio by use of the Underwood equations. Use a basis of 100 moles of feed/h. Clearly state your assumptions. c) For R = 1.25 Rmin, find the total number of equilibrium stages required for the distillation problem presented in parts (a) and (b). Use the Gilliland correlation. Estimate the optimum feed plate location.
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