Table 5 Parameters obtained by the kinetic models for the composite HAp, Ce and HAp/Ce.
MB | HAp | Ce | HAp/Ce | ||||||
---|---|---|---|---|---|---|---|---|---|
K1 (g/mg min) | Qcal (mg/g) | R2 | K1 (g/mg min) | Qcal (mg/g) | R2 | K1 (g/mg min) | Qcal (mg/g) | R2 | |
Pseudo-first-order kinetic model | |||||||||
0.22 | 91.0018 | 0.9797 | 0.2205 | 85.4815 | 0.9616 | 0.1934 | 92.001 | 0.9823 |
MB | HAp | Ce | HAp/Ce | ||||||
---|---|---|---|---|---|---|---|---|---|
K2 (g/mg.min) | Qcal (mg/g) | R2 | K2 (g/mg.min) | Qcal (mg/g) | R2 | K2 (g/mg.min) | Qcal (mg/g) | R2 | |
The pseudo-second-order parameters for uptaking of MB HAp, Ce and HAp/Ce | |||||||||
38.68809 | 3.6724 | 0.9685 | 67.2777 | 4.4033 | 0.9927 | 53.1261 | 3.9339 | 0.995 |
MB | HAp | Ce | HAp/Ce | ||||||
---|---|---|---|---|---|---|---|---|---|
Kid | Z | R2 | Kid | Z | R2 | Kid | Z | R2 | |
Intra-particle diffusion parameters of MB bonding onto HAp, Ce and HAp/Ce | |||||||||
25.502 | 4.4897 | 0.8565 | 25.725 | 2.1656 | 0.8623 | 25.201 | 9.2701 | 0.8853 |
T(K) | HAp | Ce | HAp/Ce | ||||||
---|---|---|---|---|---|---|---|---|---|
∆G° (KJ/mol) | ∆H° (KJ/mol) | ∆S° (J/K.mol) | ∆G° (KJ/mol) | ∆H° (KJ/mol) | ∆S° (J/K.mol) | ∆G° (KJ/mol) | ∆H° (KJ/mol) | ∆S° (J/K.mol) | |
Parameters values for the adsorption of MB onto HAp, Ce and HAp/Ce | |||||||||
298 | − 1.4149 | 19.7025 | 70.8614 | − 3.3787 | 19.8090 | 77.8112 | − 1.4149 | 19.7025 | 70.8614 |
313 | − 2.4771 | − 4.6524 | − 2.4771 | ||||||
323 | − 3.1857 | − 5.4305 | − 3.1857 |
Kdf | R2 | ||||||||
---|---|---|---|---|---|---|---|---|---|
Liquid film diffusion model | |||||||||
HAp | 2.3858 | 0.8913 | |||||||
Ce | 2.2659 | 0.905 | |||||||
HAp/Ce | 2.518 | 0.8504 |