Table 5 R2 and K values for various kinetic models for UPKC 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

UCPKC

9

30

10

1.5732

0.9511

0.2672

0.9855

0.4655

0.9792

0.1642

0.9997

7.5911

0.9820

30

1.4874

0.9734

0.4802

0.9824

0.1465

0.9660

0.0383

0.9995

22.7718

0.9507

50

1.4055

0.9644

0.3771

0.9786

0.0815

0.9697

0.0120

0.9999

37.2910

0.9846

70

1.1933

0.9406

1.2175

0.7824

0.0471

0.9399

0.0136

0.9998

48.0076

0.9185

100

1.0336

0.9623

0.6833

0.9971

0.0281

0.9651

0.0052

1.0000

63.8299

0.9979

120

0.9658

0.7601

−0.0017

0.8377

0.0219

0.7622

0.0017

1.0000

73.9446

0.8746

35

10

2.2469

0.5641

0.3660

0.8305

0.9992

0.6167

0.0618

0.9999

8.5338

0.6779

30

1.8362

0.7894

1.2928

0.9627

0.2047

0.8834

0.0376

0.9999

24.0062

0.8141

50

1.5159

0.9369

0.7286

0.8393

0.0908

0.9404

0.0162

0.9998

38.4883

0.8939

70

1.2351

0.9648

0.3126

0.9512

0.0491

0.9661

0.0071

0.9999

49.2300

0.9600

100

1.1344

0.9412

0.4879

0.8711

0.0311

0.9407

0.0049

0.9999

67.3559

0.9084

120

1.0831

0.9466

0.8645

0.8410

0.0246

0.9471

0.0033

1.0000

78.8357

0.9510

40

10

2.9231

0.7833

−0.8055

0.8060

1.7519

0.8750

0.0392

1.0000

9.2972

0.7627

30

2.5373

0.8911

0.4433

0.9341

0.3924

0.9057

0.0200

0.9999

27.1481

0.9257

50

2.3951

0.7114

−0.6053

0.7718

0.2194

0.7235

0.0024

1.0000

45.2235

0.8404

70

1.6345

0.9589

0.9591

0.9916

0.0731

0.9681

0.0085

0.9999

55.5791

0.9947

100

1.3903

0.8435

0.7163

0.9715

0.0402

0.8504

0.0033

1.0000

74.4177

0.9414

120

1.2373

0.6618

−0.2692

0.8962

0.0287

0.6658

0.0010

1.0000

84.8953

0.7816

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