Table 6 R2 and K values for various kinetic models for CPKC at pH 3 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

3

30

10

0.1605

0.9165

1.5268

0.9724

0.1150

0.9464

4.0891

0.9507

0.2383

0.9486

30

0.2827

0.8983

1.9841

0.9120

0.0440

0.9069

0.6410

0.9875

5.4980

0.9270

50

0.2548

0.9603

2.2943

0.9936

0.0257

0.9725

0.4102

0.9919

8.3930

0.9962

70

0.2591

0.8636

2.4968

0.9764

0.0185

0.8781

0.2232

0.9978

12.6558

0.9533

100

0.3219

0.9266

1.9023

0.7938

0.0138

0.9274

0.0682

0.9985

25.9924

0.9291

120

0.3124

0.9145

2.0097

0.8875

0.0114

0.9171

0.0468

0.9995

30.4748

0.9717

35

10

0.2001

0.9585

1.7399

0.9483

0.1161

0.9763

3.1696

0.9561

0.5246

0.9686

30

0.4845

0.9148

1.5606

0.9726

0.0540

0.9267

0.2296

0.9985

10.2379

0.9723

50

0.4305

0.9103

2.1355

0.9978

0.0306

0.9145

0.2005

0.9949

14.7029

0.9578

70

0.4955

0.8867

2.0315

0.9464

0.0234

0.9004

0.0799

0.9988

24.9998

0.9454

100

0.4410

0.7166

1.5937

0.7949

0.0155

0.7251

0.0330

0.9997

33.6861

0.8377

120

0.4243

0.9446

1.7959

0.9464

0.0127

0.9469

0.0321

0.9995

39.8299

0.9647

40

10

0.2977

0.9420

1.7954

0.9483

0.1255

0.9655

2.1567

0.9720

1.2820

0.9533

30

0.5665

0.9532

1.8944

0.8387

0.0582

0.9539

0.2535

0.9950

11.5232

0.9507

50

0.5586

0.8174

2.2815

0.9825

0.0349

0.8457

0.1172

0.9994

18.4720

0.9134

70

0.4865

0.8860

2.7040

0.8869

0.0232

0.9019

0.1018

0.9980

23.6001

0.9538

100

0.4398

0.9268

2.7977

0.9848

0.0155

0.9391

0.0835

0.9980

31.0178

0.9787

120

0.4430

0.8442

2.4824

0.8520

0.0130

0.8576

0.0523

0.9984

38.7346

0.9238