1 Introduction
2 Materials and methods
3 Sorption experiments
3.1 Batch adsorption procedure
3.2 Mathematical calculation of the adsorption parameters
3.2.1 Kinetic models
3.2.2 Adsorption isotherm models
3.2.3 Thermodynamic study
4 Results and discussion
Ca-HAP | Ca-HAP/U(VI) | Ag-HAP | Ag-HAP/U(VI) | HAP | HAP/U(VI) | |
---|---|---|---|---|---|---|
BET surface area (m2/g) | 54 | 53 | 55 | 53 | 105 | 25 |
Langmuir surface area (m2/g) | 79 | 77 | 80 | 78 | 134 | 37 |
BJH cumulative adsorption surface area of pores between 1.7 and 300 nm diameter (cm3/g) | 0.3 | 0.25 | 0.41 | 0.35 | 0.54 | 0.13 |
BJH cumulative desorption surface area of pores between 1.7 and 300 nm diameter (cm3/g) | 0.3 | 0.26 | 0.45 | 0.36 | 0.53 | 0.13 |
Average pore diameter (4V/A by BET) [nm] | 22.16 | 23.69 | 23.91 | 26.74 | 17.72 | 20.36 |
BJH adsorption on average pore diameter (4V/A) (nm) | 22.53 | 23.63 | 25.12 | 28.56 | 18.08 | 20.75 |
BJH desorption on average pore diameter (4V/A) (nm) | 12.3 | 12.72 | 23.41 | 26.58 | 17.46 | 13.51 |
Materials | pHPZC | pHIEP |
---|---|---|
nano-HAP | 7.2 | < 4 |
Ag-HAP | 6.91 | < 4 |
Ca-HAP | 6.3 | < 4 |
4.1 Effect of contact time and kinetic study
Pseudo-first-order model | k1 (1/min) | qecalc (mmol/g) | R2 |
---|---|---|---|
Ag-HAP | 0.000105 | 9.12 × 10−4 | 0.5432 |
Ca-HAP | 0.00368 | 9.7 × 10−4 | 0.5263 |
Pseudo-second-order model | k2 (g/mmol min) | qecalc (mmol/g) | R2 |
---|---|---|---|
Ag-HAP | 19.92 | 2.55 | 0.9996 |
Ca-HAP | 59.96 | 2.52 | 0.9999 |
4.2 Adsorption isotherms
Model | parameter | 293 K | 313 K | 333 K | |||
---|---|---|---|---|---|---|---|
Ag-HAP | Ca-HAP | Ag-HAP | Ca-HAP | Ag-HAP | Ca-HAP | ||
Langmuir | KL (dm3/mmol) | 375.09 | 318.54 | 744.2 | 2132.8 | 792.8 | 421.8 |
qm (mmol/g) | 7.2 | 8.1 | 7.5 | 8.4 | 7.9 | 9.2 | |
R2 | 0.982 | 0.989 | 0.986 | 0.989 | 0.969 | 0.984 | |
Freundlich | KF (dm3/mmol) | 0.0312 | 0.0279 | 0.0299 | 0.027 | 0.0328 | 0.0282 |
n | 0.233 | 318.54 | 0.222 | 0.178 | 0.224 | 0.179 | |
R2 | 0.9464 | 0.259 | 0.9727 | 0.9909 | 0.9693 | 0.9453 | |
Dubinin-Radushkevich | KD−R (mol2/kJ2) | 1.58 × 10−9 | 1.66 × 10−9 | 1.48 × 10−9 | 1.26 × 10−9 | 1.28 × 10−9 | 1.15 × 10−9 |
qm (mmol/g) | 3.74 | 3.55 | 4.24 | 5.02 | 5.5 | 6.55 | |
En (kJ/mol) | 10.25 | 17.35 | 18.4 | 18.9 | 19.8 | 19.8 | |
R2 | 0.9325 | 0.9895 | 0.9538 | 0.9880 | 0.9331 | 0.9834 |
4.3 Effect of temperature
sorbent | ∆H0 (kJ/mol) | ∆S0 (kJ/(mol·K)), | ∆G0 (kJ/mol) | ||
---|---|---|---|---|---|
293 K | 313 K | 333 K | |||
Ag-HAP | 8.2 | 0.055 | − 7.9 | − 8.67 | − 10.1 |
Ca-HAP | 9.8 | 0.067 | − 9.96 | − 11.5 | − 12.6 |