Table 10 Langmuir, Freundlich, and Temkin models’ equations for bio-sorption of the used bio-sorbent (Micro, Micron-sized porous particles-Zygo, Micro, and Micron-sized porous particles-Cal) particles.
Bio-sorption Model | Equation | Parameters |
|---|---|---|
Langmuir | \(\frac{{C}_{e}}{{q}_{e}}=\frac{1}{{q}_{m}KL}+\frac{{C}_{e}}{{q}_{m}}\) | qe is the MB amount bio-sorbed at equilibrium (mg/g), qm is the maximum capacities of monolayer coverage (mg/g), and KL is the constant of Langmuir (L/mg). |
Freundlich | \(ln{q}_{e}=ln{K}_{f}+\frac{1}{{n}_{f}}ln{C}_{e}\) | KF is Freundlich constant associated with the capacity of bio-sorption and nf is Freundlich constant related to the bio-sorption intensity. |
Temkin | qe = B ln \({K}_{T}\) + B ln Ce | KT is the Temkin constant referring to maximum binding energy at equilibrium and B is the Temkin constant associated with the heat of bio-sorption heat. |
