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Table 3 Parameters of the Freundlich, Langmuir and Radke-Prausnitz isotherms for the fluoride adsorption on BC and BCMs from aqueous solution at different pH and temperature

From: Bone char modification by iron to improve its capacity for adsorbing fluoride from an aqueous solution

Material

pH

T (°C)

Freundlich

Langmuir

Radke-Prausnitz

k (L1/n mg1−1/n g−1)

n

%D

K (L mg−1)

qm (mg g−1)

%D

a (L g−1)

b (L1−\({}^{{\upbeta}_{\text{RP}}}\) mg \({}^{{\upbeta}_{\text{RP}}}\)−1)

βRP

%D

BC

7

25

1.27

2.42

11

0.46

4.07

2.6

1.52

0.24

-0.17

3.0

BCM1

3.28

3.56

16

1.37

7.07

9.2

9.58

1.35

0.00

9.2

BCM3

2.58

2.59

17

0.40

8.36

12

7.81

1.91

0.76

12

BCM4

0.75

2.27

12

0.10

4.36

28

2.88

3.12

0.39

12

BCM2

5

25

4.39

2.18

13

0.49

14.4

7.6

9.45

0.97

0.16

4.4

7

15

2.98

3.00

10

0.63

7.94

23

13.8

3.17

0.20

13

25

4.17

2.90

27

0.95

10.2

17

8.91

0.75

-0.06

21

35

4.81

2.99

16

1.14

11.2

9.7

16.7

1.87

0.09

4.8

9

25

0.73

2.21

14

0.13

4.05

7.8

0.61

0.21

0.09

9.5