The mathematical characteristics of the traditional isotherm models under consideration.
| 293 K | 303 K | 313 K | |||
|---|---|---|---|---|---|
| DI | Langmuir model | Q max (mg g−1) | 190.2 | 164.2 | 137.7 |
| b (L mg−1) | 3.7 × 10−7 | 3.24 × 10−7 | 1.51 × 10−8 | ||
| R 2 | 0.99 | 0.99 | 0.99 | ||
| χ 2 | 0.05 | 0.13 | 0.17 | ||
| Freundlich model | 1/n | 0.80 | 0.84 | 0.94 | |
| k F (mg g−1) | 2.27 | 1.61 | 1.24 | ||
| R 2 | 0.82 | 0.85 | 0.83 | ||
| χ 2 | 4.92 | 3.17 | 3.59 | ||
| D–R model | β (mol2 kJ−2) | 0.041 | 0.046 | 0.056 | |
| Q m (mg g−1) | 201.7 | 174.3 | 147.9 | ||
| R 2 | 0.999 | 0.99 | 0.99 | ||
| χ 2 | 0.05 | 0.028 | 0.17 | ||
| E (kJ mol−1) | 3.49 | 3.29 | 2.98 | ||
| ZD | Langmuir model | Q max (mg g−1) | 258.6 | 219.8 | 178.3 |
| b (L mg−1) | 2.8 × 10−6 | 1.43 × 10−7 | 2.03 × 10−8 | ||
| R 2 | 0.99 | 0.99 | 0.99 | ||
| χ 2 | 0.35 | 0.71 | 0.38 | ||
| Freundlich model | 1/n | 0.83 | 0.87 | 0.90 | |
| k F (mg g−1) | 2.67 | 1.84 | 1.2 | ||
| R 2 | 0.86 | 0.84 | 0.82 | ||
| χ 2 | 4.43 | 5.71 | 6.99 | ||
| D–R model | β (mol2 kJ−2) | 0.016 | 0.021 | 0.032 | |
| Q m (mg g−1) | 265.6 | 229.3 | 190.6 | ||
| R 2 | 0.99 | 0.99 | 0.99 | ||
| χ 2 | 0.33 | 0.21 | 0.29 | ||
| E (kJ mol−1) | 5.6 | 4.9 | 3.95 | ||
| CD/ZD | Langmuir model | Q max (mg g−1) | 297.7 | 260.8 | 213.2 |
| b (L mg−1) | 7.7 × 10−7 | 3.4 × 10−7 | 6.1 × 10−7 | ||
| R 2 | 0.99 | 0.99 | 0.99 | ||
| χ 2 | 0.029 | 0.011 | 0.067 | ||
| Freundlich model | 1/n | 0.81 | 0.87 | 0.84 | |
| k F (mg g−1) | 3.53 | 2.21 | 2.03 | ||
| R 2 | 0.84 | 0.85 | 0.86 | ||
| χ 2 | 6.12 | 5.24 | 5.02 | ||
| D–R model | β (mol2 kJ−2) | 0.0081 | 0.0088 | 0.011 | |
| Q m (mg g−1) | 312.5 | 275.9 | 223.6 | ||
| R 2 | 0.99 | 0.99 | 0.99 | ||
| χ 2 | 0.19 | 0.31 | 0.087 | ||
| E (kJ mol−1) | 7.85 | 7.5 | 6.7 | ||