Table 3 Kinetic parameters of phenol adsorption by lead ferrite-MAC.
Model | Initial phenol concentration (mg/L) | ||||
---|---|---|---|---|---|
100 | 200 | 300 | 400 | 500 | |
PFO | |||||
q1 (mg/g) | 41.886 | 71.205 | 89.667 | 102.731 | 111.503 |
k1 (1/min) | 0.0462 | 0.0433 | 0.0642 | 0.0769 | 0.0821 |
R2 | 0.9678 | 0.9465 | 0.9739 | 0.9771 | 0.9657 |
R2adj | 0.9675 | 0.9460 | 0.9732 | 0.9768 | 0.9652 |
ARE (%) | 5.426 | 6.986 | 4.455 | 6.697 | 4.020 |
MSE (mg/g)2 | 7.412 | 9.044 | 5.169 | 10.252 | 8.589 |
PSO | |||||
q2 (mg/g) | 47.397 | 82.694 | 100.389 | 114.702 | 121.963 |
k2 (g/mg min) | 8.531 × 10–4 | 4.203 × 10–4 | 5.860 × 10–4 | 5.844 × 10–4 | 6.706 × 10–4 |
R2 | 0.9941 | 0.9944 | 0.9986 | 0.9974 | 0.9989 |
R2adj | 0.9933 | 0.9937 | 0.9985 | 0.9970 | 0.9988 |
ARE (%) | 2.600 | 2.556 | 1.170 | 1.598 | 0.975 |
MSE (mg/g)2 | 1.112 | 3.153 | 1.179 | 3.000 | 1.340 |
Elovich | |||||
a (g/mg) | 0.151 | 0.080 | 0.089 | 0.086 | 0.093 |
b (mg/g min) | 16.860 | 17.449 | 186.604 | 499.364 | 1988.181 |
R2 | 0.9672 | 0.9684 | 0.9827 | 0.9797 | 0.9866 |
R2adj | 0.9631 | 0.9644 | 0.9805 | 0.9772 | 0.9849 |
ARE (%) | 6.178 | 6.151 | 4.206 | 4.433 | 3.497 |
MSE (mg/g)2 | 6.145 | 17.805 | 14.860 | 22.968 | 17.327 |
LDF | |||||
kLDF (1/s) | 2.93 × 10–4 | 4.46 × 10–4 | 7.37 × 10–4 | 8.17 × 10–4 | 9.02 × 10–4 |
Dh (cm2/s) | 4.41 × 10–9 | 8.96 × 10–9 | 1.83 × 10–8 | 1.94 × 10–8 | 2.06 × 10–8 |
R2 | 0.9666 | 0.9588 | 0.9748 | 0.9841 | 0.9906 |
R2adj | 0.9624 | 0.9535 | 0.9716 | 0.9821 | 0.9894 |
ARE (%) | 5.43 | 6.06 | 5.01 | 4.02 | 3.05 |
MSE (mg/g)2 | 5.99 | 9.28 | 10.54 | 9.23 | 7.15 |