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. 2016 Nov 25;14:21. doi: 10.1186/s40201-016-0262-y

Table 2.

Parameters related to the kinetic models of HA adsorption on MNPs and SMNPs adsorbents

Kinetic models Parameters Adsorbent
MNPs SMNPs
Pseudo first-order: ln(q e -q t ) = lnq e -k f t
plot: ln(q e -q t ) vs. t
q e, Cal (mg/g) 9.7 15.81
k 1 (min −1 ) 0.014 0.057
h0 (mg/g. min) 0.135 0.9
R 2 0.8417 0.9465
R adj 2 0.802 0.933
F error (%) 3.8 1.93
Pseudo second-order: t/q t= t/q e+ 1/k s q e 2
plot: t/q t vs. t
q e,Cal (mg/g) 11.1 15.72
k 2 (g/mg) (min −1 ) 0.006 0.01
h0 (mg/g. min) 0.74 2.47
R 2 0.995 0.9985
R adj 2 0.994 0.995
F error (%) 1.59 1.09
Intraparticle diffusion:
q t= k i t 0.5
plot: q t vs. t 0.5
k id (mg/gmin 0.5 ) 0.598 0.84
C i (mg/g) 2.724 4.86
R 2 0.8406 0.7332
Experimental qe (mg/g) 10.5 15.22