koff - LEPA
koff - LEPA
koff - LEPA
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!(t) =<br />
konc bulk "<br />
%<br />
$ ! '<br />
max<br />
$<br />
' t<br />
$<br />
2t<br />
1+ k '<br />
# on! max<br />
D &<br />
=<br />
" t % 1<br />
! eq<br />
#<br />
$ td &<br />
'<br />
1+ kon! max<br />
Figure 7 shows a surface concentration-time plot showing the influence of the diffusion in stirred<br />
and unstirred solutions.<br />
Exercise : Please plot Γ(t)/Γ eq using D = 10 –10 m 2 ·s –1 and δ = 100µm. Please also calculate the<br />
Damköhler number.<br />
Γ /Γ eq<br />
0.6<br />
0.5<br />
0.4<br />
0.3<br />
0.2<br />
0.1<br />
0.0<br />
0<br />
Kinetic control<br />
Kinetic-Steady state diffusion<br />
Kinetic-Time dependent<br />
diffusion layer thickness<br />
200<br />
400<br />
Fig. 7. Influence of the diffusion on the adsorption. ( K=10 9 M –1 , kon=10 6 M –1 ·s –1 , c bulk = 0.1 pM,<br />
t /s<br />
600<br />
2t<br />
D<br />
800<br />
1000<br />
D=10 –10 m 2 ·s –1 , δ = 100 µm and ! max " 10 #9 mol·m #2 ). θ
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