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. 2024 Jan 19;14(5):3280–3288. doi: 10.1039/d3ra08767k

Constants and parameters derived from three adsorption isotherm models.

Models and equations Constants 293 K 313 K 333 K
q m (mg g−1) 416.7 500.0 625.0
Langmuir b (L mg−1) 1.13 0.500 0.313
C e/qe = 1/qmb + Ce/qm R L C 0 = 4 mg L−1 0.181 0.333 0.444
R L = 1/(1 + bC0) C 0 = 8 mg L−1 0.0996 0.200 0.285
C 0 = 12 mg L−1 0.0687 0.143 0.210
R 2 0.991 0.981 0.987
Freundlich K F (mg g−1 (L mg−1)1/n) 200.5 301.8 438.8
ln(qe) = ln(KF) + (1/n)ln(Ce) n −1 0.336 0.305 0.284
R 2 0.989 0.989 0.967
Dubinin–Radushkevich q s (×10−3 mol g−1) 0.88 1.05 1.36
ln(qe) = ln(qs) – Bε2 B (mol2 kJ−2 × 10−8) 15.0 4.42 2.31
ε = RT ln(1 + 1/Ce) E (kJ mol−1) 1.83 3.36 4.65
E = (2B)−1/2 R 2 0.916 0.918 0.939