Table 2 Adsorption kinetic parameters for ZnO-AC and GA@ZnO-AC performance towards MB dye.

From: Efficient dye removal from aqueous solution using a hybrid GA@ZnO-AC nanocomposite

Kinetic model

Parameters

ZnO-AC

GA@ZnO-AC

Concentration (mg/L)

Concentration (mg/L)

30

40

50

60

70

30

40

50

60

70

Pseudo-first order

qe exp (mg/g)

60

80

96.83

117.41

133.83

60

80

96.83

117.41

133.83

qe cal (mg/g)

60.67

42.05

119.32

59.08

111.63

29.24

29.52

25.28

41.8

60.54

K1 (min–1)

0.3813

0.169

0.2646

0.1207

0.1127

0.1787

0.1387

0.0837

0.0795

0.0841

R2

0.8584

0.8582

0.8315

0.8298

0.9284

0.8231

0.6332

0.6511

0.8905

0.9361

SSE

0.2735

15.493

9.1815

23.813

7.0219

12.558

20.608

29.21

30.868

29.921

Pseudo-second order

x2

0.0074

7.6624

4.2387

57.59

4.2257

39.003

86.322

202.51

136.77

88.725

qe exp (mg/g)

60

80

96.83

117.41

133.83

60

80

96.83

117.41

133.83

qe cal (mg/g)

60.24

80.65

101.01

121.95

142.86

60.24

80.65

100

120.48

140.85

K2 (g/mg. min)3

0.0306

0.0179

0.0084

0.0053

0.0024

0.029

0.023

0.0152

0.0074

0.0049

R2

0.9999

0.9999

0.9998

0.9998

0.9994

0.9999

0.9999

0.9999

0.9999

0.9999

Intra-particle diffusion model

SSE

0.098

0.2654

1.7065

1.8534

3.6865

0.098

0.2654

1.2942

1.2533

2.8659

x2

0.001

0.0052

0.173

0.169

0.5708

0.001

0.0052

0.1005

0.0782

0.3499

Elovich’s Equation

h (mg/g. min1/2)

111.12

116.28

85.471

78.748

47.857

105.24

149.26

151.5

107.53

98.04

KipD (mg/g. min1/2)

0.9923

1.35

2.7777

3.8613

6.379

0.8523

1.0028

1.1972

2.7494

4.0563

C (mg/g)

50.258

66.453

72.416

81.392

75.857

51.441

69.854

87.518

92.074

99.135

R2

0.4347

0.5564

0.5083

0.5549

0.6496

0.5788

0.6111

0.7228

0.5737

0.5185

α (mg/g. min)

580.57

742.8

240.2

199.59

97.019

872.68

1550.8

2264.5

508.47

300.73

β (g/mg)2

0.139

0.1052

0.0694

0.0548

0.0407

0.1483

0.1151

0.0942

0.0635

0.049

R2

0.5431

0.5526

0.7044

0.7558

0.8701

0.5035

0.4748

0.461

0.6475

0.7168