Table 1 Sorption isotherm parameters for non-linear fitting.

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

Model

Adsorbent

Carbonized PKC

Uncarbonized PKC

Carbonized PKC

Uncarbonized PKC

pH

9

9

3

3

Temp (°C)

30

35

40

30

35

40

30

35

40

30

35

40

Langmuir

KL (L/mg)

0.197

0.347

0.369

0.058

0.097

0.316

0.011

0.017

0.016

0.015

0.008

0.012

qm (mg/g)

110.2

105.2

111.9

101.5

93.34

86.37

76.25

83.14

102.2

54.62

105.6

115.7

R2

0.98

0.98

0.95

0.99

0.92

0.95

0.99

0.99

1.00

0.97

0.99

1.00

Koble-Corrigan

A

26.83

37.69

40.12

8.991

13.65

29.53

1.647

1.069

2.622

0.764

1.747

1.486

n

0.54

0.73

0.45

0.73

0.27

0.46

0.71

1.10

0.80

1.01

0.71

0.96

B

0.106

0.290

0.117

0.057

−0.203

0.151

0.003

0.015

0.014

0.014

−0.004

0.012

R2

1.00

0.99

1.00

1.00

0.98

0.99

1.00

0.99

1.00

0.97

1.00

1.00

Freundlich

k (mg/g)/(mg/L)n

25.43

31.28

36.7

11.14

15.35

26.33

1.746

2.994

3.453

1.989

1.609

2.609

n

2.39

2.66

2.79

1.98

2.26

2.97

1.46

1.56

1.52

1.63

1.35

1.41

R2

1.00

0.97

1.00

0.99

0.98

0.99

1.00

0.98

1.00

0.96

1.00

0.99

Temkin

A (L/g)

5.21

5.03

5.34

1.07

2.77

7.64

0.23

0.28

0.34

0.25

0.22

0.28

B

17.98

20.06

21.5

17.88

15.07

14.42

11.01

13.99

15.53

9.25

12.77

15.61

R2

0.95

0.99

0.98

0.96

0.92

0.98

0.93

0.94

0.93

0.91

0.92

0.92

D-R

qm (mg/l)

378.3

344.7

355.7

363.5

294.3

221.7

268.3

308.5

397

184.8

365.8

456.4

β × 10−3

3.58

3.06

2.81

4.81

3.85

2.57

7.35

6.48

6.41

6.65

7.65

7.03

R2

1.00

0.98

1.00

1.00

0.97

0.99

1.00

0.99

1.00

0.96

1.00

0.99

E (KJ/mol)

11.81

12.78

13.33

10.19

11.40

13.94

8.25

8.78

8.83

8.67

8.08

8.43

Florry-Huggins

K × 10−5 (L/mg)

52.11

67.48

175.5

33.45

23.63

23.1

9.016

8.594

13.62

29.76

1.392

11.92

n

−1.36

−1.26

−0.75

−2.54

−2.01

−1.55

−9.31

−7.27

−5.60

−7.62

−11.80

−6.39

R2

0.99

0.52

1.00

1.00

0.95

0.95

1.00

0.99

1.00

0.99

0.99

0.99