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In chromatography, each solute has an equilibrium partition coefficient K, = si/c₁, where s, is the adsorbed species concentration and c, the bulk concentration. If a sample of width d at the injection point is to be separated into peaks of at least this peak-to-peak spacing, show that: (a) The mean residence time of any single component i is given by L (1-8)(1+K₁) UE where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of L = d(K₁ - K₁) (1 + K₂)²(1 + K₂) where K, > K,

In chromatography, each solute has an equilibrium partition coefficient K, = si/c₁, where s, is the adsorbed species concentration and c, the bulk concentration. If a sample of width d at the injection point is to be separated into peaks of at least this peak-to-peak spacing, show that: (a) The mean residence time of any single component i is given by L (1-8)(1+K₁) UE where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of L = d(K₁ - K₁) (1 + K₂)²(1 + K₂) where K, > K,

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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Bailey and Ollis Biochemical Engineering

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In chromatography, each solute has an equilibrium partition coefficient K, = si/c₁, where s, is the adsorbed species concentration and c; the bulk concentration. If a sample of width d at the injection point is to be separated into peaks of at least this peak-to-peak spacing, show that: (a) The mean residence time of any single component i is given by L t₁ =(18)(1 + K₂) UE where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of L = d(K, - K₁) (1 + K;)²(1 + K₁) where K, > K,
Transcribed Image Text:In chromatography, each solute has an equilibrium partition coefficient K, = si/c₁, where s, is the adsorbed species concentration and c; the bulk concentration. If a sample of width d at the injection point is to be separated into peaks of at least this peak-to-peak spacing, show that: (a) The mean residence time of any single component i is given by L t₁ =(18)(1 + K₂) UE where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of L = d(K, - K₁) (1 + K;)²(1 + K₁) where K, > K,
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