A. Isotherm model | Equations | Parameters | Adsorbed dye | |
---|---|---|---|---|
MB | MO | |||
Langmuir isotherm | \(\frac{1}{{q}_{e}}\) =\(\frac{1}{{K}_{L}{q}_{max}} \frac{1}{{C}_{e}}+ \frac{1}{{q}_{max}}\) | qmax (mg/g) | 178.25 | 50.10 |
KL (L/mg) | 0.01 | 0.04 | ||
R2 | 0.99 | 0.99 | ||
Freundlich isotherm | q = KF C1/n | KF (mg/g) | 2.632 | 0.877 |
n | 1.37 | 1.17 | ||
R2 | 0.92 | 0.94 | ||
B. Kinetic model | Â | qe (exp.) (mg/g) | 33.54 | 16.02 |
Pseudo-first-order | \(\mathrm{ln}({q}_{e}-{q}_{t})= \mathrm{ln}{q}_{e}-{K}_{1}\) t | qe (calc.) (mg/g) | 7.54 | 3.55 |
K1 (min−1) | 0.116 | 0.125 | ||
R2 | 0.904 | 0.617 | ||
Pseudo-second-order | \(\frac{1}{{q}_{e}}\)=\(\frac{1}{{K}_{L } {q}_{max} {C}_{e}} \times \frac{1}{{q}_{max}}\) | qe (calc.) (mg/g) | 33.61 | 16.13 |
K2 (g/mg/min) | 0.043 | 0.087 | ||
R2 | 0.99 | 0.99 |