Model

Parameter

Initial concentration of dye mg/l

75

100

150

200

Pseudo-first-order

qe_(exp) mg/g

39.50

43.35

44.19

39.89

qe_(cal) mg/g

78.46

106.68

77.08

21.08

K₁ (min⁻¹)

0.02268

0.02429

0.02151

0.01762

R²

0.7253

0.6815

0.6562

0.9587

Pseudo-second-order

qe_(exp) mg/g

39.50

43.35

44.19

39.89

qe_(cal) mg/g

49.16

57.95

47.70

43.03

K₂ (g/mg/min)

0.0203

0.017

0.021

0.0232

R²

0.9792

0.9686

0.9764

0.9917

Elovich kinetic

α (mg/g∙min)

3.57

3.33

5.97

55.60

Β (g/mg)

0.0965

0.0844

0.1055

0.1579

R²

0.9587

0.9555

0.9612

0.9088

Bangham

K_b

0.00106

0.00062

0.0008

0.0018

R²

0.9823

0.9829

0.914

0.9055

α (mg/g∙min)

0.4867

0.5635

0.4014

0.1694

Intra-diffusion particle

K_id

4.2422

3.3166

0.1318

0.0004

C

1.38

1.24

7.342

22.9

R²

0.9826

0.9826

0.9132

0.9056

Model

Parameter

Different Temperature

25

35

45

55

65

Pseudo-first-order

qe_(exp) mg/g

43.35

59.97

73.10

97.20

98.59

qe_(cal) mg/g

46.20

50.53

63.91

113.31

121.64

K₁ (min⁻¹)

0.030169

0.02418

0.02625

0.03062

0.03984

R²

0.9488

0.9597

0.9612

0.9715

0.9774

Pseudo-second-order

qe_(exp) mg/g

43.35

59.97

73.10

97.20

98.59

qe_(cal) mg/g

57.80

66.66

85.47

128.20

129.87

K₂ (g/mg/min)

4.19 × 10⁻⁴

7.69 × 10⁻⁴

5.31 × 10⁻⁴

1.97 × 10⁻⁴

2.26 × 10⁻⁴

R²

0.9686

0.9739

0.9736

0.972

0.9805

Elovich kinetic

α (mg/g∙min)

3.30

12.88

10.60

7.78

8.77

Β (g/mg)

0.083202

0.086311

0.060132

0.037991

0.036759

R²

0.9552

0.9207

0.9442

0.9627

0.9563

Bangham

K_b

2.613

2.482

2.352

2.011

1.011

R²

0.9829

0.9584

0.9683

0.9746

0.9594

α (mg/g∙min)

0.5635

0.2487

0.3593

0.5156

0.5053

Intra-diffusion particle

K_id

4.27

4.81

6.48

9.40

9.87

C

0.76

10.20

8.88

0.38

2.18

R²

0.9842

0.9403

0.9519

0.9876

0.9627