Table 4 R2 and K values for various kinetic models for CPKC at pH 9 and Temperatures 30 °C, 35 °C and 40 °C.

From: Equilibrium and thermodynamic investigation of biosorption of nickel from water by activated carbon made from palm kernel chaff

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pH

Temp (°C)

Initial Conc. (mg/l)

First order

Pseudo first order

Second order

Pseudo second order

Intra particle diffusion

k (min−1)

R2

k (min−1)

R2

k (l/mg min)

R2

k (g/mg min)

R2

k (g/mg min−1)

R2

CPKC

9

30

10

3.0351

0.5011

−0.0883

0.9249

2.3267

0.5514

0.0256

1.0000

9.2667

0.6276

30

2.3599

0.9593

1.9156

0.8277

0.3302

0.9591

0.0250

0.9999

26.7440

0.9625

50

2.1967

0.9688

1.7641

0.9439

0.1776

0.9855

0.0114

0.9999

43.8338

0.9891

70

1.8698

0.6874

2.7901

0.6547

0.0928

0.7219

0.0078

1.0000

57.7591

0.8012

100

1.6870

0.9218

1.2965

0.9175

0.0540

0.9259

0.0025

1.0000

80.9729

0.9795

120

1.5338

0.9092

1.7365

0.9026

0.0386

0.9157

0.0025

1.0000

93.4240

0.9801

35

10

3.1510

0.7355

−1.4054

0.7355

2.3184

0.7379

0.0184

1.0000

9.5256

0.7511

30

2.7144

0.9523

0.3557

0.9680

0.4630

0.9815

0.0172

1.0000

27.6529

0.9607

50

2.6684

0.7446

1.9503

0.7005

0.2875

0.7580

0.0057

1.0000

45.9437

0.8618

70

2.2086

0.9392

0.7820

0.9470

0.1295

0.9509

0.0052

1.0000

61.7360

0.9682

100

1.9195

0.8572

0.8111

0.9937

0.0681

0.8675

0.0026

1.0000

84.6580

0.9475

120

1.5920

0.8225

0.5161

0.8932

0.0409

0.8260

0.0016

1.0000

95.0445

0.9195

40

10

3.8379

0.6676

−1.5353

0.6676

4.6430

0.6711

0.0007

1.0000

15.5750

0.6748

30

2.9316

0.9621

0.1126

0.9622

0.5623

0.9818

0.0141

1.0000

28.1036

0.9714

50

2.7963

0.8438

0.8640

0.9255

0.3248

0.8719

0.0054

1.0000

46.4974

0.9196

70

2.3669

0.7764

1.6006

0.9361

0.1521

0.7902

0.0043

1.0000

62.6882

0.8843

100

2.0789

0.8659

0.6894

0.9822

0.0799

0.8771

0.0023

1.0000

86.8727

0.9536

120

1.8312

0.7939

0.5256

0.8918

0.0520

0.7981

0.0013

1.0000

100.2499

0.9059

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