Table 2 The mathematical parameters of the evaluated classic isotherm models.
Material | Model | Parameter | Values | ||
|---|---|---|---|---|---|
293 K | 303 K | 313 K | |||
CA | Langmuir | Qmax (mg/g) | 135.89 | 123.46 | 109.9 |
R2 | 0.995 | 0.997 | 0.99 | ||
X2 | 0.237 | 0.122 | 0.053 | ||
b(L/mg) | 1.74 × 10–8 | 1.35 × 10–8 | 2.05 × 10–9 | ||
Freundlich | 1/n | 0.88 | 0.97 | 0.91 | |
kF (mg/g) | 0.51 | 0.20 | 0.11 | ||
R2 | 0.81 | 0.84 | 0.82 | ||
X2 | 9.90 | 9.0 | 9.89 | ||
D–R model | β (mol2/kJ2) | 0.0918 | 0.1124 | 0. 1190 | |
Qm (mg/g) | 142.8 | 129.5 | 118.7 | ||
R2 | 0.98 | 0.99 | 0.99 | ||
X2 | 0.57 | 0.49 | 0.21 | ||
E (kJ/mol) | 2.33 | 2.1 | 2.04 | ||
PANI/CA | Langmuir | Qmax (mg/g) | 235.8 | 191.2 | 154.4 |
R2 | 0.99 | 0.99 | 0.98 | ||
X2 | 0.30 | 0.31 | 0.73 | ||
b(L/mg) | 1.73 × 10–5 | 2.66 × 10–7 | 8.46 × 10–9 | ||
Freundlich | 1/n | 0.73 | 0.90 | 0.97 | |
kF (mg/g) | 2.15 | 1.61 | 1.25 | ||
R2 | 0.90 | 0.86 | 0.84 | ||
X2 | 4.96 | 8.19 | 9.79 | ||
D–R model | β (mol2/kJ2) | 0.0658 | 0.0908 | 0.0924 | |
Qm (mg/g) | 210.1 | 191.2 | 165.5 | ||
R2 | 0.96 | 0.99 | 0.99 | ||
X2 | 2.14 | 0.61 | 0.19 | ||
E (kJ/mol) | 2.75 | 2. 34 | 2.32 | ||
AC | Langmuir | Qmax (mg/g) | 156.9 | 131.0 | 116.13 |
R2 | 0.99 | 0.99 | 0.99 | ||
X2 | 0.03 | 0.18 | 0.21 | ||
b(L/mg) | 2.22 × 10–6 | 1.56 × 10–8 | 2.31 × 10–9 | ||
Freundlich | 1/n | 0.71 | 0.88 | 0.94 | |
kF (mg/g) | 1.75 | 1.49 | 1.18 | ||
R2 | 0.86 | 0.83 | 0.82 | ||
X2 | 5.16 | 8.86 | 9.18 | ||
D–R model | β (mol2/kJ2) | 0.0660 | 0.0867 | 0.1042 | |
Qm (mg/g) | 153.5 | 139.63 | 126.3 | ||
R2 | 0.99 | 0.99 | 0.99 | ||
X2 | 0.41 | 0.026 | 0.057 | ||
E (kJ/mol) | 2.75 | 2.40 | 2.18 | ||
PANI/AC | Langmuir | Qmax (mg/g) | 309.7 | 263.8 | 227.2 |
R2 | 0.99 | 0.99 | 0.991 | ||
X2 | 0.53 | 0.38 | 0.08 | ||
b(L/mg) | 6.24 × 10–5 | 5.39 × 10–6 | 2.00 × 10–7 | ||
Freundlich | 1/n | 0.68 | 0.78 | 0.92 | |
kF (mg/g) | 3.58 | 1.82 | 0.66 | ||
R2 | 0.91 | 0.89 | 0.86 | ||
X2 | 4.66 | 7.25 | 8.03 | ||
D–R model | β (mol2/kJ2) | 0.0584 | 0.0748 | 0.0947 | |
Qm (mg/g) | 259.56 | 242.95 | 227.7 | ||
R2 | 0.92 | 0.95 | 0.98 | ||
X2 | 4.35 | 2.70 | 0.93 | ||
E (kJ/mol) | 2.92 | 2.58 | 2.29 | ||