Degrees of Freedom Take a basis of 100 mol fed to the column. Draw and completely label a flowchart, and for each of six systems (overall process, column, condenser, reboiler, column and condenser, and column and reboiler), do the degree-of-freedom analysis. Identify which of the following systems have zero degrees of freedom and thus would be good starting points for analysis. Choose one. ☐ Reboiler Only ☐ Overall System ☐ Column Only ☐ Column and Reboiler eTextbook and Media Hint Save for Later Benzene Recovery in Overhead Attempts: 0 of 3 used Submit Answer Use the constraint on benzene recovery in the overhead to solve for the total overhead flow (n₁ (mol)). n1 = i mol An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. A process flowchart and a somewhat oversimplified description of what happens in the process follow: Feed 100 mol XF (mol B/mol) Vapor YD (mol B/mol) 1- (mol T/mol) Reflux Overhead product n₁(mol) n₁(mol) CONDENSER DISTILLATION COLUMN 1-XF (mol T/mol) Boilup YB[mol B(v)/mol] REBOILER Bottoms product XB[mol B(1)/mol] Inside the column a liquid stream flows downward and a vapor stream rises. At each point in the column some of the liquid vaporizes and some of the vapor condenses. The vapor leaving the top of the column, which contains 97.0 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 92.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 46.0% 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 yẞ and XB are the mole fractions of benzene in the vapor and liquid streams, respectively.

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
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Degrees of Freedom
Take a basis of 100 mol fed to the column. Draw and completely label a flowchart, and for each of six
systems (overall process, column, condenser, reboiler, column and condenser, and column and reboiler), do
the degree-of-freedom analysis. Identify which of the following systems have zero degrees of freedom and
thus would be good starting points for analysis.
Choose one.
☐ Reboiler Only
☐ Overall System
☐ Column Only
☐ Column and Reboiler
eTextbook and Media
Hint
Save for Later
Benzene Recovery in Overhead
Attempts: 0 of 3 used
Submit Answer
Use the constraint on benzene recovery in the overhead to solve for the total overhead flow (n₁ (mol)).
n1 =
i
mol
Transcribed Image Text:Degrees of Freedom Take a basis of 100 mol fed to the column. Draw and completely label a flowchart, and for each of six systems (overall process, column, condenser, reboiler, column and condenser, and column and reboiler), do the degree-of-freedom analysis. Identify which of the following systems have zero degrees of freedom and thus would be good starting points for analysis. Choose one. ☐ Reboiler Only ☐ Overall System ☐ Column Only ☐ Column and Reboiler eTextbook and Media Hint Save for Later Benzene Recovery in Overhead Attempts: 0 of 3 used Submit Answer Use the constraint on benzene recovery in the overhead to solve for the total overhead flow (n₁ (mol)). n1 = i mol
An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. A
process flowchart and a somewhat oversimplified description of what happens in the process follow:
Feed
100 mol
XF (mol B/mol)
Vapor
YD
(mol B/mol)
1- (mol T/mol)
Reflux
Overhead product
n₁(mol)
n₁(mol)
CONDENSER
DISTILLATION
COLUMN
1-XF (mol T/mol)
Boilup
YB[mol B(v)/mol]
REBOILER
Bottoms product
XB[mol B(1)/mol]
Inside the column a liquid stream flows downward and a vapor stream rises. At each point in the column some
of the liquid vaporizes and some of the vapor condenses. The vapor leaving the top of the column, which
contains 97.0 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 92.2% of the benzene fed to the column.
The liquid leaving the bottom of the column is fed to a partial reboiler in which 46.0% 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 yẞ and XB are the mole fractions of benzene in the vapor and liquid streams, respectively.
Transcribed Image Text:An equimolar liquid mixture of benzene and toluene is separated into two product streams by distillation. A process flowchart and a somewhat oversimplified description of what happens in the process follow: Feed 100 mol XF (mol B/mol) Vapor YD (mol B/mol) 1- (mol T/mol) Reflux Overhead product n₁(mol) n₁(mol) CONDENSER DISTILLATION COLUMN 1-XF (mol T/mol) Boilup YB[mol B(v)/mol] REBOILER Bottoms product XB[mol B(1)/mol] Inside the column a liquid stream flows downward and a vapor stream rises. At each point in the column some of the liquid vaporizes and some of the vapor condenses. The vapor leaving the top of the column, which contains 97.0 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 92.2% of the benzene fed to the column. The liquid leaving the bottom of the column is fed to a partial reboiler in which 46.0% 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 yẞ and XB are the mole fractions of benzene in the vapor and liquid streams, respectively.
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