Table 2 The mathematical parameters of the evaluated classic isotherm models.

From: Synergetic studies on the thermochemical activation and polyaniline integration on the adsorption properties of natural coal for chlorpyrifos pesticide: steric and energetic studies

Material

Model

Parameter

Values

293 K

303 K

313 K

CA

Langmuir

Qmax (mg/g)

135.89

123.46

109.9

R2

0.995

0.997

0.99

X2

0.237

0.122

0.053

b(L/mg)

1.74 × 10–8

1.35 × 10–8

2.05 × 10–9

Freundlich

1/n

0.88

0.97

0.91

kF (mg/g)

0.51

0.20

0.11

R2

0.81

0.84

0.82

X2

9.90

9.0

9.89

D–R model

β (mol2/kJ2)

0.0918

0.1124

0. 1190

Qm (mg/g)

142.8

129.5

118.7

R2

0.98

0.99

0.99

X2

0.57

0.49

0.21

E (kJ/mol)

2.33

2.1

2.04

PANI/CA

Langmuir

Qmax (mg/g)

235.8

191.2

154.4

R2

0.99

0.99

0.98

X2

0.30

0.31

0.73

b(L/mg)

1.73 × 10–5

2.66 × 10–7

8.46 × 10–9

Freundlich

1/n

0.73

0.90

0.97

kF (mg/g)

2.15

1.61

1.25

R2

0.90

0.86

0.84

X2

4.96

8.19

9.79

D–R model

β (mol2/kJ2)

0.0658

0.0908

0.0924

Qm (mg/g)

210.1

191.2

165.5

R2

0.96

0.99

0.99

X2

2.14

0.61

0.19

E (kJ/mol)

2.75

2. 34

2.32

AC

Langmuir

Qmax (mg/g)

156.9

131.0

116.13

R2

0.99

0.99

0.99

X2

0.03

0.18

0.21

b(L/mg)

2.22 × 10–6

1.56 × 10–8

2.31 × 10–9

Freundlich

1/n

0.71

0.88

0.94

kF (mg/g)

1.75

1.49

1.18

R2

0.86

0.83

0.82

X2

5.16

8.86

9.18

D–R model

β (mol2/kJ2)

0.0660

0.0867

0.1042

Qm (mg/g)

153.5

139.63

126.3

R2

0.99

0.99

0.99

X2

0.41

0.026

0.057

E (kJ/mol)

2.75

2.40

2.18

PANI/AC

Langmuir

Qmax (mg/g)

309.7

263.8

227.2

R2

0.99

0.99

0.991

X2

0.53

0.38

0.08

b(L/mg)

6.24 × 10–5

5.39 × 10–6

2.00 × 10–7

Freundlich

1/n

0.68

0.78

0.92

kF (mg/g)

3.58

1.82

0.66

R2

0.91

0.89

0.86

X2

4.66

7.25

8.03

D–R model

β (mol2/kJ2)

0.0584

0.0748

0.0947

Qm (mg/g)

259.56

242.95

227.7

R2

0.92

0.95

0.98

X2

4.35

2.70

0.93

E (kJ/mol)

2.92

2.58

2.29