Consider the following bubble point feed stream with components A, B and C for separation by distillation using either a direct sequence or an indirect sequence, as shown below: A, B, C B B, C A, B, C A, B C αk/c Fk (gmol/s) A 5.5 B 2.0 C 1.0 333 30 40 30 B Direct Sequence Indirect Sequence Our goal is to select the best sequence for an overall recovery of 95% for each component. To do so, we have to express the material balances and calculate the component flows in all streams. a well-designed system will have to meet the overall recovery specifications exactly. Therefore, any design (i.e., vector of flows) for both sequences can be determined based on the recovery of B in the first column. a) b) Using this insight, develop equations to calculate the theoretical number of trays in the two columns of the direct sequence. Use these two equations (or a combination of them) to find the optimal recovery of B in the first column (you can do that by simply drawing the function). Repeat part (a) for the indirect sequence.

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
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Consider the following bubble point feed stream with components A, B and C for separation by
distillation using either a direct sequence or an indirect sequence, as shown below:
A, B, C
B
B, C
A, B, C
A, B
C
αk/c
Fk (gmol/s)
A
5.5
B
2.0
C
1.0
333
30
40
30
B
Direct Sequence
Indirect Sequence
Our goal is to select the best sequence for an overall recovery of 95% for each component. To do
so, we have to express the material balances and calculate the component flows in all streams.
a well-designed system will have to meet the overall recovery
specifications exactly. Therefore, any design (i.e., vector of flows) for both sequences can be
determined based on the recovery of B in the first column.
a)
b)
Using this insight, develop equations to calculate the theoretical number of trays in the
two columns of the direct sequence. Use these two equations (or a combination of them) to find
the optimal recovery of B in the first column (you can do that by simply drawing the function).
Repeat part (a) for the indirect sequence.
Transcribed Image Text:Consider the following bubble point feed stream with components A, B and C for separation by distillation using either a direct sequence or an indirect sequence, as shown below: A, B, C B B, C A, B, C A, B C αk/c Fk (gmol/s) A 5.5 B 2.0 C 1.0 333 30 40 30 B Direct Sequence Indirect Sequence Our goal is to select the best sequence for an overall recovery of 95% for each component. To do so, we have to express the material balances and calculate the component flows in all streams. a well-designed system will have to meet the overall recovery specifications exactly. Therefore, any design (i.e., vector of flows) for both sequences can be determined based on the recovery of B in the first column. a) b) Using this insight, develop equations to calculate the theoretical number of trays in the two columns of the direct sequence. Use these two equations (or a combination of them) to find the optimal recovery of B in the first column (you can do that by simply drawing the function). Repeat part (a) for the indirect sequence.
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