Table 4 Isotherm constants for adsorption of BBR and VBR with pomegranate Ppeel at different temperatures
Dye | T (°C) | Freundlich isotherm model | |||||
|---|---|---|---|---|---|---|---|
R2 | χ² | HYBRID | EABS | KF (L/g) | n | ||
BBR | 4 °C | 0.4130 | 1.940 10− 5 | 3.920 10− 5 | 3.010 10− 5 | 3.140 10− 4 | 3.805 |
25 °C | 0.6291 | 6.030 10− 6 | 7.500 10− 6 | 1.530 10− 5 | 1.150 10− 4 | 5.958 | |
45 °C | 0.7716 | 3.990 10− 6 | 5.580 10− 6 | 1.620 10− 5 | 3.300 10− 4 | 3.747 | |
VBR | 4 °C | 0.6853 | 9.520 10− 5 | 7.700 10− 5 | 1.460 10− 4 | 2.047 10− 2 | 1.660 |
25 °C | 0.8849 | 2.640 10− 5 | 3.270 10− 5 | 8.260 10− 5 | 1.188 10− 1 | 1.287 | |
45 °C | 0.7406 | 7.150 10− 5 | 5.910 10− 5 | 1.130 10− 4 | 2.2778 | 0.9908 | |
Dye | T (°C) | Langmuir isotherm model | |||||
|---|---|---|---|---|---|---|---|
R2 | χ² | HYBRID | EABS | KL (L/mol) | qmax (mol/g) | ||
BBR | 4 °C | 0.9548 | 2.420 10− 5 | 4.510 10− 5 | 3.630 10− 5 | 1.501 105 | 3.070 10− 5 |
25 °C | 0.9255 | 2.880 10− 6 | 3.310 10− 6 | 1.100 10− 5 | 3.367 105 | 2.470 10− 5 | |
45 °C | 0.9175 | 1.560 10− 6 | 1.950 10− 6 | 8.440 10− 6 | 6.685 104 | 3.450 10− 5 | |
VBR | 4 °C | 0.9536 | 8.930 10− 5 | 7.200 10− 5 | 1.460 10− 4 | 2.090 104 | 1.040 10− 4 |
25 °C | 0.9577 | 2.590 10− 5 | 3.290 10− 5 | 7.810 10− 5 | 4.858 103 | 2.820 10− 4 | |
45 °C | 0.9440 | 7.140 10− 5 | 5.990 10− 5 | 1.150 10− 4 | 6.581 102 | 3.197 10− 3 | |
Dye | T(°C) | D-R isotherm model | |||||
|---|---|---|---|---|---|---|---|
R2 | χ² | HYBRID | EABS | qmax (mol/g) | β (mol2/kj2) | ||
BBR | 4 °C | 0.8149 | 1.990 10− 5 | 4.000 10− 5 | 3.110 10− 5 | 8.000 10− 5 | 2.320 10− 9 |
25 °C | 0.6619 | 5.660 10− 6 | 6.880 10− 6 | 1.470 10− 5 | 4.760 10− 4 | 1.280 10− 9 | |
45 °C | 0.8001 | 3.540 10− 6 | 4.840 10− 6 | 1.500 10− 5 | 9.030 10− 5 | 1.940 10− 9 | |
VBR | 4 °C | 0.9361 | 9.350 10− 5 | 7.440 10− 5 | 1.450 10− 4 | 9.560 10− 4 | 5.560 10− 9 |
25 °C | 0.8820 | 2.640 10− 5 | 3.270 10− 5 | 7.930 10− 5 | 2.637 10− 3 | 6.430 10− 9 | |
45 °C | 0.7423 | 7.060 10− 5 | 5.850 10− 5 | 1.130 10− 4 | 1.068 10− 2 | 6.780 10− 9 | |