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Table 2 Parameters for various adsorption kinetic models for Cd(II), Co(II), Zn(II) and Pb(II) sorption on MBC2

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

8.41

0.54

0.019

0.914

8.42

0.227

16.087

1.000

0.224

7.188

0.897

 100

15.63

4.42

0.013

0.978

15.67

0.016

3.846

0.999

0.756

9.385

0.933

 150

22.63

10.41

0.018

0.968

23.02

0.006

3.189

0.998

1.472

9.698

0.960

 200

23.55

8.20

0.011

0.964

23.59

0.006

4.072

0.999

1.076

12.664

0.893

Zn(II)

 50

8.82

0.24

0.025

0.913

8.83

0.658

51.259

1.000

0.187

8.007

0.789

 100

16.85

3.53

0.012

0.965

16.87

0.020

5.820

1.000

0.449

12.168

0.914

 150

20.57

6.40

0.008

0.963

20.40

0.008

3.124

0.997

0.613

12.870

0.888

 200

27.93

8.20

0.012

0.971

27.99

0.007

5.546

0.999

0.891

17.933

0.967

Co(II)

 50

8.12

1.68

0.016

0.938

8.15

0.055

3.675

1.000

0.452

5.113

0.981

 100

12.84

6.40

0.010

0.940

12.82

0.007

1.187

0.994

0.621

5.207

0.847

 150

15.24

7.99

0.011

0.991

15.36

0.005

1.292

0.995

0.387

6.984

0.974

 200

18.30

8.72

0.007

0.917

17.96

0.005

1.525

0.992

0.370

8.150

0.965

Pb(II)

 50

8.74

0.02

0.004

0.656

8.73

2.335

178.025

1.000

0.003

8.704

0.982

 100

16.93

0.01

0.007

0.705

16.93

5.530

158.227

1.000

0.003

16.905

0.666

 150

23.75

0.04

0.008

0.920

23.74

1214

684.238

1.000

0.003

23.698

0.982

 200

33.19

0.08

0.020

0.711

33.19

1.822

200.745

1.000

0.159

32.586

0.635

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