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. 2024 Feb 17;14:3990. doi: 10.1038/s41598-024-53781-y

Table 4.

Coefficients of the pseudo-first-order, second-order adsorption kinetic, Avrami, and intraparticle diffusion models for adsorption of FLX by LAC.

Kinetic models Equation Parameters LAC
Pseudo-first-order qt = qe (1 − e−k1t) K1 0.037
Qe 34.36
R2 0.98
Pseudo-second-order

qt = qe2k2t

1 + qek2t

K2 0.0012
Qe 39.32
R2 0.99
Mixed 1,2 order qt = qe (1 − exp(− kt)1 − f2exp(− kt) K 0.04
Qe 34.36
F2 0
R2 0.98
Avrami qt = qe[1 − exp(− kavt)nav] Qe 34.01
Kav 0.40
nav 0.1
R2 0.99
Intraparticle diffusion qt = Kip√t + Cip Kip 1.93
Cip 10.5
R2 0.69