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. 2025 Jan 6;15:901. doi: 10.1038/s41598-024-84872-5

Table 2.

Brief description of isotherm models used for both metal ions adsorption onto modified ACF at a dosage of 0.5 g/L and pH 5.0 for Cu(II) and cd(II) at 298 K.

Metals Langmuir
Inline graphic
Freundlich
Inline graphic
Temkin
Inline graphic
Qmax
(mg/g)
KL
(L/mg)
R2 KF (mg/g) (L/mg)1/n n (L/g)
(L/g)
R2 KT (L/mg) B (J/mol) R2
Cd(II) 214.590 0.092 0.9850 38.521 2.700 0.9948 101.990 13.990 0.8933
Cu(II) 163.390 0.047 0.9681 18.268 2.267 0.9728 24.052 1.846 0.9780

Here, Cedenotes the metal ion concentration at equilibrium (mg/L); qe and qmax represent the equilibrium and maximum adsorption capacities of the metal ion (mg/g), respectively. The coefficients KL, KF, and KTcorrespond to the Langmuir, Freundlich, and Temkin isotherm models, respectively. Parameter n is a constant that describes the linearity of the Freundlich adsorption isotherm related to the adsorption heat in the Temkin isotherm. Additionally, R2is the correlation coefficient.