Table 2 IMs investigation results of DB86 dye absorption by CAH [C0 (25–200 mg/L), CAH doses (1.5–9.0 g/L), and temp. (25 ± 2 °C)].

From: Thermodynamic, kinetic, and isotherm studies of Direct Blue 86 dye absorption by cellulose hydrogel

IMs

Parameters

CAH doses (g/L)

1.5

3.0

4.5

6.0

7.5

9.0

LIM

Qm (mg/g)

53.76

45.45

33.78

26.46

24.33

23.15

KL × 103

0.01

0.01

0.01

0.01

0.01

0.01

R2

0.988

0.998

0.990

0.999

0.999

0.960

X2

41.54

     

FIM

1/n

0.64

0.78

0.79

0.80

0.81

0.83

Qm (mg/g)

33.00

79.97

29.93

18.46

22.19

20.84

KF (mg1–1/n L1/n g–1)

1.12

0.92

0.39

0.33

0.30

0.26

R2

0.993

0.999

0.995

0.993

0.995

0.993

X2

6.85

     

TIM

AT

0.094

0.064

0.055

0.092

0.099

0.094

BT

10.19

8.56

8.37

5.40

4.67

4.46

bT (J/mol)

244.87

291.39

298.16

461.96

534.24

558.77

R2

0.995

0.997

0.997

0.999

0.996

0.998

X2

0.00

     

DRIM

Qm (mol/kg)

23.64

16.08

13.88

14.57

9.27

8.63

K × 103 (mol/kJ)2

72.50

163.30

42.00

274.50

76.80

82.10

E (kJ/mol)

2.63

1.75

3.45

1.35

2.55

2.47

R2

0.941

0.946

0.928

0.966

0.929

0.962

X2

0.03