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. 2020 Dec 23;6(1):845–856. doi: 10.1021/acsomega.0c05430

Table 1. Theoretical Parameters for the Investigated Kinetic and Equilibrium models.

kinetic models
model parameters SF MG CR MO
pseudo-first-order K1 (min–1) 4.9 × 10–7 7.47 × 10–5 2.72 × 10–6 4.49 × 10–6
qe(Cal) (mg/g) 202 217 251.7 294.3
R2 0.98 0.98 0.99 0.99
χ2 2.12 1.86 1.12 0.87
pseudo-second-order k2 (g/(mg min)) 2.49 1.95 2.26 2.09
qe(Cal) (mg/g) 207 221.4 254.2 297
R2 0.98 0.98 0.98 0.98
χ2 2.7 2.54 1.45 1.22
Elovich β (g/mg) 0.013 0.014 0.011 0.01
α (mg/(g min)) 3.23 4.49 4.2 4.72
R2 0.88 0.86 0.89 0.91
χ2 5.8 6.6 5.3 4.2
isotherm models
model parameters SF MG CR MO
Langmuir qmax (mg/g) 431.6 489.9 626.2 675.5
b (L/mg) 3.7 × 10–6 4.07 × 10–5 1.02 × 10–4 9.3 × 10–4
R2 0.99 0.98 0.98 0.90
χ2 0.87 2.14 2.23 3.6
RL 0.99–0.998 0.98–0.997 0.96–0.99 0.73–0.95
Freundlich 1/n 0.45 0.57 0.63 0.71
kF (mg/g) 182 234.5 128.8 30.7
R2 0.99 0.97 0.97 0.87
χ2 2.3 4.7 4.36 5.7
D–R model β (mol2/kJ2) 0.496 0.43 0.403 0.183
qm (mg/g) 446 486.9 607.4 667.8
R2 0.99 0.96 0.95 0.84
χ2 4.6 6.23 6.8 7.3
E (kJ/mol) 1.01 1.08 1.11 1.65