Compound X is dissolved in 100 mL of solvent B, and extracted using solvent A. The partition coefficient PXAB has a value of 5.00. What percentage of X remains in solvent B after: A single extraction of 100 mL solvent A

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
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fraction remaining after a second extraction will be given by:
VB
Fx
((Px,ABVA+VB)
(4)
For n extractions, this can be generalized to:
VB
Fx
((Px,ABVA+VB))
(5)
Since Fx < 1 by definition, the efficiency should increase as the number of extractions increase.
An interesting point to note about extraction efficiency can be illustrated in the following
problem:
Compound X is dissolved in 100 mL of solvent B, and extracted using solvent A. The partition
coefficient PXAB has a value of 5.00. What percentage of X remains in solvent B after:
A single extraction of 100 mL solvent A
Two extractions of 50 mL solvent A
five extractions of 20 mL solvent A
ten extractions of 10 mL solvent A
Transcribed Image Text:fraction remaining after a second extraction will be given by: VB Fx ((Px,ABVA+VB) (4) For n extractions, this can be generalized to: VB Fx ((Px,ABVA+VB)) (5) Since Fx < 1 by definition, the efficiency should increase as the number of extractions increase. An interesting point to note about extraction efficiency can be illustrated in the following problem: Compound X is dissolved in 100 mL of solvent B, and extracted using solvent A. The partition coefficient PXAB has a value of 5.00. What percentage of X remains in solvent B after: A single extraction of 100 mL solvent A Two extractions of 50 mL solvent A five extractions of 20 mL solvent A ten extractions of 10 mL solvent A
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