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. 2022 May 25;16(1):37. doi: 10.1186/s13065-022-00830-0

Table 2.

Nonlinear Freundlich, Langmuir, Dubinin–Radushkevich, Temkin and Toth isotherm parameters for adsorption of metal ions onto Dowex 50WX8

Isotherm Parameters Metal ions
DY(III) Pr(III) Y(III)
Langmuir Qo (mg/g) 62.32 36.94 48.76
b (ml/mg) 0.0041 0.0074 0.0035
RL 0.707 0.575 0.739
R2 0.956 0.995 0.978
Chi^2 5.36 0.43 1.97
Freundlich Kf (mg/g) 0.632 1.044 0.491
1/n 0.719 0.569 0.694
R2 0.944 0.971 0.959
Chi^2 6.765 2.604 3.597
Dubinin–Radushkevich qm 245.38 116.96 142.26
β mol2 /kJ2 0.0078 0.0064 0.0086
R2 0.952 0.484 0.971
EDR 7.996 8.846 7.612
Chi^2 2.20 E-10 7.11E-11 3.23E-10
Tempkin ΔQ, kJ/mol 280.66 351.33 328.04
K0, mmol/g 0.0888 0.1017 0.0657
R2 0.8989 0.9738 0.9119
Chi^2 12.3 2.34 7.77
Toth isotherm qT, mg/g 23.19 25.02 49.11
KT 0.035 0.04 0.017
N 1.018 1.057 1.048
R2 0.9668 0.987 0.991
x2 1.504 1.19 1.688