Homework Help is Here – Start Your Trial Now!
Engineering
Chemical Engineering
Q. VI: An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. At each point in the column some of the liquid vaporizes and some of the vapor stream condenses. The vapor leaving the top of the column, which contains 97 mole% benzene, is completely condensed and split into two equal fractions: one is taken off as the overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 45% of it is vaporized. The vapor generated in the reboiler (the boilup) is recycled to become the rising vapor stream in the column, and the residual reboiler liquid is taken off as the bottom product stream. The compositions of the streams leaving the reboiler are governed by the relation, YB/(1 - YB) XB/(1 - XB) = 2.25 where YB and XB are the mole fractions of benzene in the vapor and liquid streams, respectively. 1) Take a basis of 100 moles fed to the column. Draw and completely label a flowchart, and for each of system/sub-system (overall process, column, total condenser, and partial reboiler), do the degree-of-freedom analysis. 2) Write in order the equations you would solve to determine all unknown variables on the flowchart, circling the variable for which you would solve in each equation. 3) Calculate the molar amounts of the overhead and bottoms products, the mole fraction of benzene in the bottoms product, and the percentage recovery of toluene in the bottoms product (100 x moles toluene in bottoms/mole toluene in feed).

Q. VI: An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. At each point in the column some of the liquid vaporizes and some of the vapor stream condenses. The vapor leaving the top of the column, which contains 97 mole% benzene, is completely condensed and split into two equal fractions: one is taken off as the overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 45% of it is vaporized. The vapor generated in the reboiler (the boilup) is recycled to become the rising vapor stream in the column, and the residual reboiler liquid is taken off as the bottom product stream. The compositions of the streams leaving the reboiler are governed by the relation, YB/(1 - YB) XB/(1 - XB) = 2.25 where YB and XB are the mole fractions of benzene in the vapor and liquid streams, respectively. 1) Take a basis of 100 moles fed to the column. Draw and completely label a flowchart, and for each of system/sub-system (overall process, column, total condenser, and partial reboiler), do the degree-of-freedom analysis. 2) Write in order the equations you would solve to determine all unknown variables on the flowchart, circling the variable for which you would solve in each equation. 3) Calculate the molar amounts of the overhead and bottoms products, the mole fraction of benzene in the bottoms product, and the percentage recovery of toluene in the bottoms product (100 x moles toluene in bottoms/mole toluene in feed).

Introduction to Chemical Engineering Thermodynamics
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
Section: Chapter Questions
Problem 1.1P
See similar textbooks
icon
Related questions
Question
Q. VI: An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. At each point in the column some of the liquid vaporizes and some of the vapor stream condenses. The vapor leaving the top of the column, which contains 97 mole% benzene, is completely condensed and split into two equal fractions: one is taken off as the overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 45% of it is vaporized. The vapor generated in the reboiler (the boilup) is recycled to become the rising vapor stream in the column, and the residual reboiler liquid is taken off as the bottom product stream. The compositions of the streams leaving the reboiler are governed by the relation, YB/(1 - YB) XB/(1 - XB) = 2.25 where YB and XB are the mole fractions of benzene in the vapor and liquid streams, respectively. 1) Take a basis of 100 moles fed to the column. Draw and completely label a flowchart, and for each of system/sub-system (overall process, column, total condenser, and partial reboiler), do the degree-of-freedom analysis. 2) Write in order the equations you would solve to determine all unknown variables on the flowchart, circling the variable for which you would solve in each equation. 3) Calculate the molar amounts of the overhead and bottoms products, the mole fraction of benzene in the bottoms product, and the percentage recovery of toluene in the bottoms product (100 x moles toluene in bottoms/mole toluene in feed).
Transcribed Image Text:Q. VI: An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. At each point in the column some of the liquid vaporizes and some of the vapor stream condenses. The vapor leaving the top of the column, which contains 97 mole% benzene, is completely condensed and split into two equal fractions: one is taken off as the overhead product stream, and the other (the reflux) is recycled to the top of the column. The overhead product stream contains 89.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 45% of it is vaporized. The vapor generated in the reboiler (the boilup) is recycled to become the rising vapor stream in the column, and the residual reboiler liquid is taken off as the bottom product stream. The compositions of the streams leaving the reboiler are governed by the relation, YB/(1 - YB) XB/(1 - XB) = 2.25 where YB and XB are the mole fractions of benzene in the vapor and liquid streams, respectively. 1) Take a basis of 100 moles fed to the column. Draw and completely label a flowchart, and for each of system/sub-system (overall process, column, total condenser, and partial reboiler), do the degree-of-freedom analysis. 2) Write in order the equations you would solve to determine all unknown variables on the flowchart, circling the variable for which you would solve in each equation. 3) Calculate the molar amounts of the overhead and bottoms products, the mole fraction of benzene in the bottoms product, and the percentage recovery of toluene in the bottoms product (100 x moles toluene in bottoms/mole toluene in feed).
Expert Solution
steps

Step by step

Solved in 2 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Introduction to Chemical Engineering Thermodynami…
Introduction to Chemical Engineering Thermodynami…
Chemical Engineering
ISBN:
9781259696527
Author:
J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:
McGraw-Hill Education
Elementary Principles of Chemical Processes, Bind…
Elementary Principles of Chemical Processes, Bind…
Chemical Engineering
ISBN:
9781118431221
Author:
Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:
WILEY
Elements of Chemical Reaction Engineering (5th Ed…
Elements of Chemical Reaction Engineering (5th Ed…
Chemical Engineering
ISBN:
9780133887518
Author:
H. Scott Fogler
Publisher:
Prentice Hall
Process Dynamics and Control, 4e
Process Dynamics and Control, 4e
Chemical Engineering
ISBN:
9781119285915
Author:
Seborg
Publisher:
WILEY
Industrial Plastics: Theory and Applications
Industrial Plastics: Theory and Applications
Chemical Engineering
ISBN:
9781285061238
Author:
Lokensgard, Erik
Publisher:
Delmar Cengage Learning
Unit Operations of Chemical Engineering
Unit Operations of Chemical Engineering
Chemical Engineering
ISBN:
9780072848236
Author:
Warren McCabe, Julian C. Smith, Peter Harriott
Publisher:
McGraw-Hill Companies, The
SEE MORE TEXTBOOKS