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Table 1 Parameters for various adsorption kinetic models for Cd(II), Co(II), Zn(II) and Pb(II) sorption on MBC1

From: Investigations of Heavy Metal Ion Sorption Using Nanocomposites of Iron-Modified Biochar

Parameters

C 0 [mg/dm3]

q exp

PFO

PSO

IPD

\( \log \left({\mathit{\mathsf{q}}}_{{}_{\mathsf{1}}}-{\mathit{\mathsf{q}}}_{{}_{\mathit{\mathsf{t}}}}\right)= \log \left({\mathit{\mathsf{q}}}_{{}_{\mathsf{1}}}\right)-\frac{\mathit{\mathsf{k}}{}_{{}_{\mathsf{1}}}\mathit{\mathsf{t}}}{\mathsf{2.303}} \)

\( \frac{\mathit{\mathsf{t}}}{{\mathit{\mathsf{q}}}_{\mathit{\mathsf{t}}}}=\frac{\mathsf{1}}{{\mathit{\mathsf{k}}}_{\mathsf{2}}{\mathit{\mathsf{q}}}_{\mathsf{2}}^{\mathsf{2}}}+\frac{\mathit{\mathsf{t}}}{{\mathit{\mathsf{q}}}_{\mathsf{2}}} \)

\( {\mathit{\mathsf{q}}}_{\mathit{\mathsf{t}}}={\mathit{\mathsf{k}}}_{\mathit{\mathsf{i}}}{\mathit{\mathsf{t}}}^{\mathsf{1}/\mathsf{2}}+\mathit{\mathsf{C}} \)

q 1

k 1

R 2

q 2

k 2

h

R 2

k i

C

R 2

Cd(II)

 50

8.40

1.40

0.017

0.945

8.43

0.067

4.773

1.000

0.358

6.079

0.878

 100

15.29

6.08

0.010

0.966

15.25

0.009

2.070

0.998

1.126

6.389

0.953

 150

18.65

7.14

0.012

0.958

18.70

0.009

2.985

0.998

1.423

7.914

0.851

 200

20.65

8.33

0.014

0.820

20.70

0.007

2.801

0.996

1.033

11.3146

0.889

Zn(II)

 50

8.82

0.81

0.024

0.913

8.84

0.165

12.892

1.000

0.339

6.946

0.820

 100

15.87

6.32

0.015

0.977

16.02

0.010

2.595

0.999

0.732

8.571

0.886

 150

20.41

7.19

0.010

0.981

20.44

0.007

2.814

0.997

0.610

12.409

0.799

 200

27.59

10.09

0.006

0.866

26.76

0.005

3.326

0.993

1.523

12.854

0.964

Co(II)

 50

7.71

2.97

0.011

0.970

7.71

0.019

1.116

0.998

0.390

3.843

0.922

 100

12.12

6.55

0.015

0.950

12.29

0.009

1.314

0.998

0.662

4.728

0.968

 150

14.84

7.82

0.012

0.928

14.95

0.006

1.299

0.993

0.254

7.044

0.979

 200

17.32

10.70

0.009

0.935

17.36

0.003

0.947

0.979

0.688

6.110

0.735

Pb(II)

 50

8.74

0.02

0.061

0.586

8.74

3.780

288.864

1.000

0.008

8.704

0.575

 100

16.92

0.07

0.013

0.892

16.92

0.882

252.606

1.000

0.006

16.849

0.692

 150

23.75

0.02

0.008

0.447

23.74

4.056

286.943

1.000

0.025

23.648

0.479

 200

33.13

0.15

0.020

0.633

33.14

0.872

957.123

1.000

0.371

31.713

0.721

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