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k 1 = 0.1 hr -1
1.0
k 2 = 1 hr -1
0.1
0.01
0.001
b = 1, K f = 1
0.8
0.6
0.4
0.2
0 0
1
2
3
4
5
6
7
8
9
10
V/V o
FIGURE 3.18
Breakthrough curves for several values of the kinetic rate coefficients k 1 and k 2 . (From Selim
and Amacher, 1997. With permission.)
where K f = 2, nearly three pore volumes were required prior to the detection
of solute in the effluent solution. In the meantime, a reduction of concentra-
tion maxima and the presence of tailing of the desorption side is observed
for large K f values. This is due not only to the large K f values used but also to
the nonlinearity of the equilibrium mechanism ( b ≠ 1) chosen here.
The influence of a wide range of b values on the shape of the BTC is shown
in Figures 3.16 and 3.17. For all the BTCs shown in Figures 3.16 and 3.17, a K f
of unity was used. For values of b < 1, the shape of the BTCs indicates a sharp
k 1 / k 2 = 1
k 2 = k 2 = 1 hr -1
0.1
0.001
1.0
0.8
0.6
0.4
0.2
0 0
1
2
3
4
5
6
7
8
9
10
V/V o
FIGURE 3.19
Breakthrough curves for several b values where the kinetic rate coefficients k 1 and k 2 where the
ratio k 1 / k 2 remains invariant. (From Selim and Amacher, 1997. With permission.)
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