24.22 As part of a bioseparations process, glucose (solute A) in aqueous solution (solvent B) is diffusing across a microporous membrane. The thickness of the membrane is 2.0 mm, and the pores running through the membrane consists of parallel cylin- drical channels of 3.0 nm diameter (1 nm is a nanometer, 1 × 10⁹ nm = 1 m). The temperature is 30°C. The mean diame- ter of a single glucose molecule is 0.86 nm. a. Estimate the molecular diffusion coefficient of glucose in water by the Stokes-Einstein relationship.
24.22 As part of a bioseparations process, glucose (solute A) in aqueous solution (solvent B) is diffusing across a microporous membrane. The thickness of the membrane is 2.0 mm, and the pores running through the membrane consists of parallel cylin- drical channels of 3.0 nm diameter (1 nm is a nanometer, 1 × 10⁹ nm = 1 m). The temperature is 30°C. The mean diame- ter of a single glucose molecule is 0.86 nm. a. Estimate the molecular diffusion coefficient of glucose in water by the Stokes-Einstein relationship.
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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Please note when values are sourced from a table/appendix. List any assumptions.
Transcribed Image Text:24.22 As part of a bioseparations process, glucose (solute A) in
aqueous solution (solvent B) is diffusing across a microporous
membrane. The thickness of the membrane is 2.0 mm, and the
pores running through the membrane consists of parallel cylin-
drical channels of 3.0 nm diameter (1 nm is a nanometer,
1 × 10⁹ nm 1 m). The temperature is 30°C. The mean diame-
ter of a single glucose molecule is 0.86 nm.
=
Estimate the molecular diffusion coefficient of glucose in
water by the Stokes-Einstein relationship.
b. What is the effective diffusion coefficient of glucose
through the membrane?
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