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 |