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Table 2 Nonlinear Freundlich, Langmuir, Dubinin–Radushkevich, Temkin and Toth isotherm parameters for adsorption of metal ions onto Dowex 50WX8

From: Modeling and equilibrium studies on the recovery of praseodymium (III), dysprosium (III) and yttrium (III) using acidic cation exchange resin

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

\(\Delta Q\), 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