Table 2 Adsorption kinetic parameters for ZnO-AC and GA@ZnO-AC performance towards MB dye.
From: Efficient dye removal from aqueous solution using a hybrid GA@ZnO-AC nanocomposite
Kinetic model | Parameters | ZnO-AC | GA@ZnO-AC | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
Concentration (mg/L) | Concentration (mg/L) | ||||||||||
30 | 40 | 50 | 60 | 70 | 30 | 40 | 50 | 60 | 70 | ||
Pseudo-first order | qe exp (mg/g) | 60 | 80 | 96.83 | 117.41 | 133.83 | 60 | 80 | 96.83 | 117.41 | 133.83 |
qe cal (mg/g) | 60.67 | 42.05 | 119.32 | 59.08 | 111.63 | 29.24 | 29.52 | 25.28 | 41.8 | 60.54 | |
K1 (min–1) | 0.3813 | 0.169 | 0.2646 | 0.1207 | 0.1127 | 0.1787 | 0.1387 | 0.0837 | 0.0795 | 0.0841 | |
R2 | 0.8584 | 0.8582 | 0.8315 | 0.8298 | 0.9284 | 0.8231 | 0.6332 | 0.6511 | 0.8905 | 0.9361 | |
SSE | 0.2735 | 15.493 | 9.1815 | 23.813 | 7.0219 | 12.558 | 20.608 | 29.21 | 30.868 | 29.921 | |
Pseudo-second order | x2 | 0.0074 | 7.6624 | 4.2387 | 57.59 | 4.2257 | 39.003 | 86.322 | 202.51 | 136.77 | 88.725 |
qe exp (mg/g) | 60 | 80 | 96.83 | 117.41 | 133.83 | 60 | 80 | 96.83 | 117.41 | 133.83 | |
qe cal (mg/g) | 60.24 | 80.65 | 101.01 | 121.95 | 142.86 | 60.24 | 80.65 | 100 | 120.48 | 140.85 | |
K2 (g/mg. min)3 | 0.0306 | 0.0179 | 0.0084 | 0.0053 | 0.0024 | 0.029 | 0.023 | 0.0152 | 0.0074 | 0.0049 | |
R2 | 0.9999 | 0.9999 | 0.9998 | 0.9998 | 0.9994 | 0.9999 | 0.9999 | 0.9999 | 0.9999 | 0.9999 | |
Intra-particle diffusion model | SSE | 0.098 | 0.2654 | 1.7065 | 1.8534 | 3.6865 | 0.098 | 0.2654 | 1.2942 | 1.2533 | 2.8659 |
x2 | 0.001 | 0.0052 | 0.173 | 0.169 | 0.5708 | 0.001 | 0.0052 | 0.1005 | 0.0782 | 0.3499 | |
Elovich’s Equation | h (mg/g. min1/2) | 111.12 | 116.28 | 85.471 | 78.748 | 47.857 | 105.24 | 149.26 | 151.5 | 107.53 | 98.04 |
KipD (mg/g. min1/2) | 0.9923 | 1.35 | 2.7777 | 3.8613 | 6.379 | 0.8523 | 1.0028 | 1.1972 | 2.7494 | 4.0563 | |
C (mg/g) | 50.258 | 66.453 | 72.416 | 81.392 | 75.857 | 51.441 | 69.854 | 87.518 | 92.074 | 99.135 | |
R2 | 0.4347 | 0.5564 | 0.5083 | 0.5549 | 0.6496 | 0.5788 | 0.6111 | 0.7228 | 0.5737 | 0.5185 | |
α (mg/g. min) | 580.57 | 742.8 | 240.2 | 199.59 | 97.019 | 872.68 | 1550.8 | 2264.5 | 508.47 | 300.73 | |
β (g/mg)2 | 0.139 | 0.1052 | 0.0694 | 0.0548 | 0.0407 | 0.1483 | 0.1151 | 0.0942 | 0.0635 | 0.049 | |
R2 | 0.5431 | 0.5526 | 0.7044 | 0.7558 | 0.8701 | 0.5035 | 0.4748 | 0.461 | 0.6475 | 0.7168 | |