Table 7 R2 and K values for various kinetic models for UPKC 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

UCPKC

3

30

10

0.0761

0.9198

1.4652

0.8627

0.1047

0.9397

9.7948

0.4123

−0.5892

0.9384

30

0.2378

0.9195

1.5084

0.8909

0.0421

0.9072

0.8288

0.9555

5.1751

0.8562

50

0.1671

0.9320

2.6435

0.9164

0.0235

0.9418

0.7315

0.9786

4.3126

0.9683

70

0.2506

0.5009

1.8936

0.6490

0.0184

0.5286

0.2014

0.9968

12.1198

0.6033

100

0.3113

0.9382

1.6020

0.9015

0.0136

0.9404

0.0658

0.9989

25.4036

0.9355

120

0.1662

0.4526

4.6450

0.7549

0.0099

0.4761

0.2504

0.9871

12.2134

0.5614

35

10

0.2036

0.9307

3.3036

0.7414

0.1202

0.9477

3.1922

0.9665

0.7739

0.9555

30

0.4320

0.5289

1.2575

0.7236

0.0515

0.5659

0.2172

0.9990

8.7344

0.6397

50

0.2469

0.7483

2.5590

0.9799

0.0256

0.7551

0.4160

0.9904

6.6615

0.8627

70

0.3518

0.8094

1.8684

0.8283

0.0203

0.8289

0.1272

0.9968

18.4895

0.8651

100

0.3737

0.9284

1.8098

0.8498

0.0145

0.9306

0.0500

0.9992

29.7023

0.9475

120

0.3344

0.8725

4.4502

0.7619

0.0116

0.8805

0.0619

0.9993

30.9806

0.9563

40

10

0.2653

0.9470

3.5678

0.6810

0.1234

0.9240

2.4143

0.9412

1.3579

0.9479

30

0.5332

0.8652

3.4724

0.7078

0.0567

0.8770

0.2089

0.9969

11.2197

0.8931

50

0.2423

0.9104

3.5228

0.8265

0.0250

0.9216

0.5162

0.9795

5.3090

0.9578

70

0.3787

0.5623

2.5603

0.6716

0.0210

0.6294

0.1813

0.9935

15.4148

0.6344

100

0.5578

0.7210

1.3261

0.9457

0.0175

0.7310

0.0167

0.9999

41.3680

0.8469

120

0.4517

0.6652

2.0127

0.6629

0.0131

0.6868

0.0391

0.9985

40.6005

0.7361

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