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4.2 Design of Adsorption and Ion-Exchange Processes 333

1
A B

0.8 C D

0.6

A
X
0.4

0.2

0
-25 -20 -15 -10 -5 0 5 10 15 20 25
(cm)
z A
Figure 4.30 Shape of a self-sharpening boundary as calculated by Helfferich-Glueckauf model, for
several combinations of diffusion resistances and separation f A: . actor A–B 10, H p 6 cm, and
H f 1cm, B: A–B 2, H p 6 cm, and H f 1cm, C: A–B 10, H p 1 cm, and H f = 6 cm,
D: A–B 2, H p 1 cm and H f 6 cm. For all cases, H o 1 cm.

Solution

z
Z A

0 X A 1
Figure 4.31 The self-sharpening boundary.

where z is the spread of the boundary in cm (see Figure 4.31) used for the rest of the
A
parameters, and

H 1.64 r (4.192)
o o