Table 1.
The mathematical parameters of the addressed kinetic and classic isotherm models.
| Kinetic Models | |||||
|---|---|---|---|---|---|
| Material | Model | Parameters | 293 K | 303 K | 313 K |
| BE | Pseudo-First-order | K1 (1/min) | 0.0294 | 0.0335 | 0.0215 |
| Qe(Cal) (mg/g) | 47.7 | 38.7 | 32.58 | ||
| R2 | 0.99 | 0.98 | 0.98 | ||
| X2 | 0.288 | 0.162 | 0.478 | ||
| Pseudo-Second-order | k2 (mg/g min) | 8.71 × 10−4 | 0.0012 | 8.76 × 10−4 | |
| Qe (Cal) (mg/g) | 51.59 | 41.67 | 35.58 | ||
| R2 | 0.96 | 0.97 | 0.92 | ||
| X2 | 0.67 | 0.53 | 0.67 | ||
| PN/BE | Pseudo-First-order | K1 (1/min) | 0.029 | 0.023 | 0.028 |
| Qe (Cal) (mg/g) | 73.5 | 61.29 | 49.42 | ||
| R2 | 0.99 | 0.99 | 0.99 | ||
| X2 | 1.55 | 0.79 | 0.115 | ||
| Pseudo-Second-order | k2 (mg/g min) | 5.75 × 10−4 | 5.41 × 10−4 | 7.2 × 10−4 | |
| Qe (Cal) (mg/g) | 79.26 | 66.42 | 53.9 | ||
| R2 | 0.95 | 0.94 | 0.99 | ||
| X2 | 1.76 | 1.19 | 0.353 | ||
| G.Zn@PN/BE | Pseudo-First-order | K1 (1/min) | 0.0234 | 0.0229 | 0.020 |
| Qe (Cal) (mg/g) | 109.2 | 87.4 | 69.67 | ||
| R2 | 0.99 | 0.99 | 0.99 | ||
| X2 | 0.515 | 0.53 | 0.34 | ||
| Pseudo-Second-order | k2 (mg/g min) | 2.96 × 10−4 | 3.6 × 10−4 | 3.87 × 10−4 | |
| Qe (Cal) (mg/g) | 118.05 | 94.3 | 75.92 | ||
| R2 | 0.97 | 0.97 | 0.97 | ||
| X2 | 1.31 | 1.08 | 0.78 | ||
| Isotderm Models | |||||
| BE | Langmuir model | Qmax (mg/g) | 150.06 | 140.6 | 124.2 |
| b (L/mg) | 0.0018 | 0.003 | 0.0052 | ||
| R2 | 0.84 | 0.87 | 0.88 | ||
| X2 | 3.06 | 3.09 | 2.12 | ||
| Freundlich model | 1/n | 0.595 | 0.728 | 0.843 | |
| kF (mg/g) | 2.58 | 1.075 | 0.449 | ||
| R2 | 0.78 | 0.79 | 0.77 | ||
| X2 | 3.46 | 4.15 | 4.79 | ||
| D-R model | β (mol2/KJ2) | 0.037 | 0.041 | 0.056 | |
| Qm (mg/g) | 75.6 | 68.3 | 55.9 | ||
| R2 | 0.996 | 0.994 | 0.991 | ||
| X2 | 0.057 | 0.109 | 0.182 | ||
| E (KJ/mol) | 3.83 | 3.49 | 2.98 | ||
| PN/BE | Langmuir model | Q max (mg/g) | 170.4 | 163.7 | 138.9 |
| b (L/mg) | 0.0078 | 0.0061 | 0.0058 | ||
| R2 | 0.94 | 0.95 | 0.94 | ||
| X2 | 0.92 | 0.72 | 0.92 | ||
| Freundlich model | 1/n | 0.49 | 0.54 | 0.55 | |
| kF (mg/g) | 7.41 | 4.83 | 3.78 | ||
| R2 | 0.88 | 0.89 | 0.88 | ||
| X2 | 2.1 | 1.68 | 1.84 | ||
| D-R model | β (mol2/KJ2) | 1.05 | 1.19 | 1.28 | |
| Qm (mg/g) | 115.5 | 101.9 | 85.8 | ||
| R2 | 0.98 | 0.97 | 0.97 | ||
| X2 | 0.22 | 0.47 | 0.43 | ||
| E (KJ/mol) | 0.69 | 0.64 | 0.62 | ||
| G.Zn@PN/BE | Langmuir model | Q max (mg/g) | 311.8 | 274 | 226.39 |
| b (L/mg) | 0.006 | 0.0056 | 0.005 | ||
| R2 | 0.95 | 0.95 | 0.93 | ||
| X2 | 1.57 | 1.13 | 1.79 | ||
| Freundlich model | 1/n | 0.54 | 0.54 | 0.57 | |
| kF (mg/g) | 9.35 | 7.59 | 5.06 | ||
| R2 | 0.88 | 0.89 | 0.86 | ||
| X2 | 3.7 | 2.79 | 3.48 | ||
| D-R model | β (mol2/KJ2) | 1.22 | 1.29 | 1.48 | |
| Qm (mg/g) | 197.2 | 168.4 | 136.4 | ||
| R2 | 0.96 | 0.93 | 0.96 | ||
| X2 | 1.05 | 1.78 | 1.90 | ||
| E (KJ/mol) | 0.64 | 0.62 | 0.58 | ||