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Table 3 Adsorption kinetic data for the removal of Ni(II) ions by NZVI-CNS

From: Nanoscale zero-valent iron-impregnated agricultural waste as an effective biosorbent for the removal of heavy metal ions from wastewater

Adsorption kinetic model

Parameters

Values (mg/L)

25

50

75

100

150

Pseudo first-order

q e (mg/g)

12.41

24.39

36.13

46.06

66.66

q e, exp (mg/g)

12.47

24.49

36.14

45.95

65.99

k 1 (min−1)

0.1305

0.1221

0.1105

0.1089

0.1019

R 2

0.9941

0.9934

0.991

0.9935

0.9933

SSE

1.654

5.199

13.02

14.52

32.25

RMSE

0.3877

0.6875

1.088

1.149

1.712

Pseudo second-order

q e, cal (mg/g)

13.97

27.68

41.56

53.19

77.84

k 2 (g/mg min)

0.0135

0.006159

0.00353

0.00267

0.00164

R 2

0.9912

0.9907

0.99

0.9907

0.9871

SSE

0.9014

3.86

13.63

20.74

62.02

RMSE

0.2863

0.5924

1.113

1.373

2.374

Elovich kinetic model

α E mg/(g min)

1.478

2.958

0.272

0.181

0.2491

β E (g/mg)

0.5539

1.128

3.303

4.596

5.872

R 2

0.9378

0.9793

0.962

0.9608

0.9679

SSE

9.666

12.59

51.87

87.75

154.1

RMSE

0.8975

1.07

2.079

2.704

3.742