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 |