By analyzing the free-energy change resulting from partitioning in an aqueous two-phase extraction, determine the dependence of the partition coefficient on size and temperature for a globular protein.

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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By analyzing the free-energy change resulting from partitioning in an aqueous two-phase extraction, determine the dependence of the partition coefficient on size and temperature for a globular protein.

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Step 1

For a globular protein, the interface is between the protein sphere and the liquid phase for the aqueous two-phase extraction process.

The change in the free energy during the partition of the two phases is dependent on the surface energy of the interface for both the phases, extract as well as raffinate. This free energy is also dependent on the surface area of the sphere.

Step 2

Mathematically, the relationship for the free energy in terms of the sphere size and interface surface tension for the two phases is written as:

Chemical Engineering homework question answer, step 2, image 1

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