Pseudo-first, pseudo-second order, Elovich, and intra-particle diffusion kinetic models at 38 °C and thermodynamic parameters for the DZ adsorption onto CN and FCN.
| Models | Parameters | CN | FCN | |
|---|---|---|---|---|
| PFO | q m (mg g−1) | 192.68 | 294.98 | |
| q exp (mg g−1) | 194.46 | 225.07 | ||
| k 1 (h−1) | 0.1425 | 0.1734 | ||
| R 2 | 0.9721 | 0.9910 | ||
| PSO | q exp (mg g−1) | 234.78 | 308.57 | |
| k 2 ×10−4 (g mg−1 h−1) | 6.251 | 9.989 | ||
| R 2 | 0.9924 | 0.9950 | ||
| Elovich | α (mg g−1 h−1) | 61.169 | 182.170 | |
| β (g mg−1) | 0.0180 | 0.0144 | ||
| R 2 | 0.9836 | 0.9867 | ||
| Intra-particle diffusion | k 0 (mg g−1 h−1/2) | 37.681 | 46.611 | |
| C | 5.319 | 68.727 | ||
| R 2 | 0.9671 | 0.9420 | ||
| Thermodynamic parameters | R 2 | 0.9982 | 0.9862 | |
| ΔH° (kJ mol−1) | 14.976 | 7.366 | ||
| ΔS° (kJ mol−1 K−1) | 0.0636 | 0.0403 | ||
| −ΔG° (kJ mol−1) | 20 °C | 3.653 | 4.456 | |
| 30 °C | 4.267 | 4.829 | ||
| 38 °C | 4.800 | 5.185 | ||
| K d | 20 °C | 4.48 | 6.23 | |
| 30 °C | 5.44 | 6.80 | ||
| 38 °C | 6.40 | 7.43 |