(a) The mean residence time of any single component i is given by (1-8)(1+K₁) "₁ UE where u is fluid velocity and L the column length. (b) The required maximum column length L is the maximum value of T d(K₁ - K₁) (1 + K, )²(I + K₁) where K, > K,

Aquaculture Science
3rd Edition
ISBN:9781133558347
Author:Parker
Publisher:Parker
Chapter11: Health Of Aquatic Animals
Section: Chapter Questions
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Biochemical Engineering - Bailey and Ollis

In chromatography, each solute has an equilibrium partition coefficient
K₁ = s/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 =(1-8)(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 K₁ = s/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 =(1-8)(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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