Removing Lead and Cobalt Ions from Aqueous Solution by Hydroxyapatite Adsorbent
In the current study, to recover and remove lead and cobalt ions from an aqueous solution, hydroxyapatite (HAp) and magnetic nanocomposite of HAp were used. For this purpose, chicken thighbone was used as the starting material. Lead and cobalt ion adsorption process was performed discontinuously within the temperature range 25-55℃, contact time 5- 120 min, adsorbent dose 0.25-5g/L, and pH 2-9. Under optimum conditions, the maximum ions adsorption efficiency using hydroxyapatite (HAp) and magnetic nanocomposite of HAp was determined to be 93.75% and 96.11% for lead and 90.48% and 94/72% for cobalt, respectively. FTIR, SEM, and EDS analyses were applied to characterize the adsorbents.
Introduction
Most of the metal ions are carcinogens and lead to serious health concerns by producing free radicals. Hence, fast and accurate detection of metal ions has become a critical issue. Among various metal ions arsenic, cobalt, lead, mercury and chromium are considered to be highly toxic [1, 2]. Heavy metals can enter a water supply by industrial and consumer waste, or even from acidic rain breaking down soils and releasing heavy metals into streams, lakes, rivers, and groundwater [5]. Lead and cobalt ions are of the most common hazardous metal ions which are found in various sewage industries. These ions can cause deaths in plants and animals and many diseases in the human body [6, 7]. The authorized amount of these ions has been reported 50 μg/L and 15 μg/L by the World Health Organization (WHO) and the Environmental Protection Agency (EPA), respectively [8]. In order to recover and remove heavy metal ions from aqueous solutions, there are several methods such as chemical treatments, ion changes, flocculation, membrane processes, and electrochemical and adsorption techniques [9, 10]. Among these methods, the adsorption method is widely applied considering its ease of implementation and low cost [11]. To recover and remove lead and cobalt ions, various adsorbents such as magnetic nanoparticles, algae biomass, sodium montmorillonite and calcium montmorillonite [12], activated carbon, fungi, magnetic hydrogels, and rice peel [6] have been used. However, today research is underway in finding adsorbents of lower cost and higher capacity.
Hydroxyapatite is one of the substances used in soil and sewage because of its adsorption properties in various fields such as drug release, chromatography, and heavy metal ion adsorption [13]. This substance is effective in recovery and removal of many toxic heavy metal ions such as lead, cobalt, nickel, zinc, copper, cadmium, and uranium from aqueous solutions [14]. This material has a good buffering feature and low solubility in water and has a high stability during oxidation, which makes it a suitable material for the recovery of metal ions from aqueous solutions [15].
Although the previous investigations have studied removal of heavy ions from aqueous solutions [16, 17, 18, 19, 20], but no report is available on the effect of processing parameters such as initial pH, temperature, contact time, the initial concentration of lead and cobalt ions and adsorbent dose on the efficiency of the adsorption process.
Materials and Methods
Preparation of Lead and Cobalt Solution
A stock solution of Pb (II) with an initial concentration of 1000 mg/L was prepared by dissolving 1.6 g of lead nitrate (Pb(NO3)2) in 1 liter of distilled water. After preparing a stock solution, it was diluted with distilled water in order to prepare solutions with a specific concentration of lead ions for the adsorption process. To adjust the initial pH of the solutions, sodium hydroxide and hydrochloric acid solutions at 1 M concentration were used. The materials were used without any purification. Also, for preparing that of cobalt, A stock solution of Co (II) was prepared by dissolving lead nitrate (Pb(NO3)2) in 1 liter of distilled water.
Adsorbent Preparation
To prepare HAp, chicken bones were washed with distilled water for 45 min to remove grease and other material. Then, bones were exposed to a direct flame to be carbonized completely. Carbonated bones were heated at 1000℃ for 4h through the calcination process. The calcined bones were cooled to ambient temperature and powdered via the milling process.
A chemical deposition method was used to produce the HAp/Fe3O4 magnetic nanocomposite. To synthesize HAp/Fe3O4 nanocomposite, a solution with the 2:1 molar ratio of Fe (III) to Fe (II) was prepared. After preparing the solution, 1g of the prepared HAp was added to it and was stirred for 20 min to provide Fe (III) and Fe (II) on the surface of HAp. At the end of this period, sodium hydroxide solution (1.5 M) was added to the mixture at a temperature of 70-80℃ and was stirred for 50 min [15]. The produced magnetic nanocomposite was separated from the solution using a magnetic field (magnet) and washed several times with distilled water to be completely neutralized. After neutralization, it was placed in an oven for 24 h at a temperature of 100°C to dry and then produce the powder.
Analytical Techniques
To investigate the functional groups in the prepared HAp and HAp/Fe3O4 magnetic nanocomposite before and after the lead and cobalt ion adsorption process, an infrared spectrometer analysis (FTIR, Bruker, Tensor27) was used in the wavelength range of 400-4000cm-1. The surface morphology and elemental analysis of adsorbents were investigated before and after the adsorption process by scanning electron microscopy (SEM) (MIRA3-FEG, TESCAN, Czech) equipped with an Energy dispersive spectroscopy (EDS) detector.
Adsorption Studies
The adsorption process was performed discontinuously in batch mode and the effects of parameters such as initial pH, temperature, contact time, and adsorbent dose were studied. The effects of pH on adsorption efficiency of lead and cobalt ions using the mentioned adsorbents were investigated in the pH range of 2-9. The initial pH of the samples was determined using 1 M HCl and NaOH solution and pH of the samples was measured using a digital pH meter (Metrohm 744). After determining the optimal initial pH, other parameters such as temperature (25-55℃), contact time (5-120 min), and adsorbent dose (0.25-5 g/L) at optimal pH were investigated and the best adsorption percentage was used for determining the optimal conditions. After the adsorption process, the residual concentration of the ions in aqueous solutions was determined using the atomic adsorption spectrometry (SpectrAA-10 plus, Varian Co) with acetylene-air fuel. In all samples the removal percentage of lead and cobalt ions (R%) and adsorption capacity (qe) were obtained from Eqs. 1 and 2, respectively:
R(%)=((C_0- C_i)/C_i )×100 (1)
q_e= ((C_0- C_i)/W)×V (2) where Co and Ci (mg/L) are the initial and equilibrium concentration of the ions, respectively, V is solution volume (L), W is the mass of the adsorbent (g), R% is the removal percentage of the ions, and qe is adsorption capacity of used adsorbent (mg/g).
Results and Discussion
Investigation of Adsorbent Properties
The FTIR analysis of the HAp produced from chicken bone and HAp/Fe3O4 nanocomposite before and after the lead and cobalt ions adsorption process is shown in Figure 1 and 2. In the FTIR analysis of HAp and HAp/Fe3O4 nanocomposites, a peak is observed in the range of 3,436 cm-1 and 3,435 cm-1, respectively, which is attributed to the vibrations and stretching of the O-H groups of hydroxyl groups [18]. The results of the IR analysis in HAp and the HAp/Fe3O4 nanocomposite in the range of 569 cm-1, 1,044 cm-1, and 1,047 cm-1 show some peaks that can be related to tensile vibrations of PO43- in the HAp [21]. Between the wavelengths 2,920cm-1 and 2,922cm-1, some peaks are observed that are due to vibrations of -CH2 in the adsorbents [22]. The peak at 1,632cm-1 is indexed to vibration and tensile motion of C=O [22]. After the formation of HAp/Fe3O4 magnetic nanocomposite, the peak at 569 cm-1, which is attributed to the HAp structure, was shifted to 570 cm-1. This peak shift in the structure of HAp can be due to the vibration of Fe-O in the structure of the magnetic nanocomposite [23]. The FTIR analysis after adsorption of lead metal ions shows no significant change after adsorption on the intensity and location of the peaks. Hence, it is inferred that the adsorption of lead metal ions on the surface of the adsorbents is physical, probably due to the weak electrostatic interactions and Van der Waals forces. However, the location of the peaks for the cobalt ion were changed which can be attributed to the interaction of the functional groups and the cobalt ion.


SEM analysis was used to investigate the surface and morphological changes of HAp and HAp/Fe3O4 magnetic nanocomposite before and after the lead and cobalt ion adsorption process the results show that the adsorbents have irregular and porous structures and consist mainly of fine particles and spherical particles, which are shown in Figures 3 and 4, respectively. The pores and grooves on the adsorbent surface can be effective in the interaction and adsorption of heavy metal ions. After the adsorption of lead and cobalt ions, due to the adsorption and Elemental analysis (EDS) of HAp and magnetic oxide HAp nanocomposite before and after the lead and cobalt ions adsorption is shown in Figure 5 and Figure 6. A peak of lead ion and also cobalt ion adsorption illustrates the adsorption of the heavy metal ions.
placement of lead ions, the grooves and pores are occupied. The surfaces of HAp and HAp/Fe3O4 adsorbents after lead and cobalt ions adsorption are shown in Figures 3C and 3D and 4C and 4D, respectively.




Effect of PH
The initial pH is an important factor in the surface adsorption of the metal ions because the pH value is effective on the metallic ion solubility, adsorption- ionization degree, and development of opposite ions in functional groups [24, 25]. Also, initial pH of the solution is effective in changing adsorption surface charge and the degree of ionization of the adsorbing metal ions during the adsorption process. Figure 7 presents the primary pH effect on the lead and cobalt ions adsorption efficiency using HAp and magnetic HAp/Fe3O4 composite. Other parameters including the adsorbent dose, the initial concentration of a lead ion, temperature, contact time, and mixing speed were fixed at 1 g/L, 10 mg/L, 25℃, 40 min, and 400 rpm, respectively. The results show that by increasing the initial pH from 2 to 6, the lead adsorption efficiency increased with using both types of adsorbent. Afterward, exceeding an initial pH of 6, the adsorption efficiency decreased for both adsorbents. Therefore, the initial pH value of 6 was reported the optimum pH. At this pH, the maximum lead ion adsorption efficiency using HAp and magnesium HAp/Fe3O4 nanocomposite was reported to be 92.26% and 95.74%, respectively. At lower pH, lead ion adsorption is low using both of these adsorbents. Because of low pH (pH<4), a high amount of H+ ions surrounded the adsorbent surface, leading to an enhanced competition between the lead ions and H+ ions on active adsorbent sites [14]. As a result, the adsorption of lead ions on adsorbent active sites is prevented and the adsorption efficiency is declined. With the initial pH increasing, the amount of H+ ion inside the solution decreases and the adsorbent surface changes negatively, leading to an increase in the adsorption of metal ions by adsorbents. At higher pH values (> 6), the percentage of metal ion adsorption decreases again, because metal ion can form complex and precipitation with the hydroxide in the solution [24]. Therefore, to remove lead ion from aqueous solution using both types of adsorbents, the initial pH value of 6 was reported as an optimal amount.
Also, for the cobalt ion, the maximum adsorption efficiency was approximately the same. The cobalt ion maximum adsorption was 90.48% and 94.72 for the hydroxyapatite and magnetic hydroxyapatite respectively and this maximum was about the pH of 6. After the pH exceeded the 6 value, the adsorption efficiency began to decrease which can be attributed to the interaction of the cobalt ion and OH- ions. This interaction decreases the amount of the free cobalt ions and leads to the decrease in the efficiency of the cobalt ion adsorption.

Effects of Temperature and Contact Time
The initial contact time and temperature are important parameters in adsorption of heavy metal ions from aqueous solutions. The temperature has an established effect on the adsorption process because adsorption capacity of the adsorbent material varies with temperature change [26]. The effect of temperature on the efficiency of removal of lead and cobalt ions (Figures 8 and 9) was investigated using HAp and HAp/Fe3O4 composite for 5-120 min, adsorption concentration of 1g/L, and the initial concentration of 10mg/L. The results show that with temperature increasing the lead and cobalt ions adsorption efficiency decreases, suggesting that the adsorbing of these ions is an exothermic process [26, 27, 28]. The efficiency decline in the adsorption process by increasing the temperature can be due to several reasons: (1) increasing the metal ions tendency to detach from the adsorbent surface and releasing into the solution phase, (2) inactivating the adsorbent surface or degrading some of the adsorbent active sites due to chain failure [29], (3) the reduction of the electrostatic force between the metal ion and the adsorbent active sites at high temperatures [30], and (4) the weakening of the force between the metal ion and active adsorbent sites [29].
The effect of contact time on lead and cobalt ions adsorption efficiency using HAp and HAp/Fe3O4 nanocomposite is shown in Figures 8 and 9, respectively. According to the obtained results, the lead ion adsorption efficiency increased with increasing time; however, in the initial contact time of 5-40 min, and after 40 min, there was no significant change in the adsorption efficiency. It has to be noted that at the initial contact time, the adsorption rate of the metal ion was high. Besides, more than 70% of lead ion adsorption occurred at the initial time of 15 min, which was due to the presence of active and non-saturated sites at the adsorbent level. The maximum lead adsorption using hydroxyapatite and magnetic hydroxyapatite was 93.74% and 96.67% respectively. On the other hand, the maximum adsorption for the cobalt ion reported was a little lower and was 92.49% and 95.19% for hydroxyapatite and magnetic hydroxyapatite respectively.


Effect of Adsorbent Dose
The adsorbent dose is an important parameter in adsorption of heavy metal ions from aqueous solutions because it determines the capability and adsorbent capacity in the adsorption of contaminants [30]. To investigate the effect of adsorbent dose on lead and cobalt ions adsorption efficiency, the adsorbent dose in the range of 0.25-5g/L was investigated (Figure 10) under the fixed condition of pH=6, the initial concentration of lead and cobalt ions 10mg/L, temperature 25℃, contact time of 50 min, and stirring rate of 400 rpm. The adsorption efficiency increased from 61.27% and 68.43% to 93.75%, and 96.11% for the lead and from 61.27% and 68.43% to 94.31% and 97.22% for the cobalt ion, respectively, with increasing the adsorbent dose of HAp and HAp/Fe3O4 from 0.25g/L to 1g/L. The results show that by increasing the adsorbent dose, the efficiency of removal of metal ion increases using these adsorbents, probably because of an increase in the number of unbound active sites due to an increase in adsorbent dose [31]. The lead and cobalt ions adsorption efficiency was increased using HAp and HAp/Fe3O4 up to 1g/L at a high rate and then was almost constant with no significant change. The fixed adsorption efficiency at high concentrations of the adsorbent can be attributed to the interconnection of the active adsorbent sites or the decrease in the concentration of the metal ion in the aqueous solution for adsorption on active sites. Therefore, the amount of 1g/L of the adsorbent dose was determined as the optimum amount of heavy metal ions removal. Also, the reported results show that the maximum ion adsorption is higher for the cobalt ion that can be attributed to the lower density of the cobalt ion compared to the lead ion. The cobalt ion can occupy the active sites of the adsorbents easier due to the lower of the density.

Isotherm Study
Isotherm models are used to examine the behavior of solid and liquid phase during equilibrium. To describe the isotherm behaviors of the process, several isotherm models are used, with Freundlich, Langmuir, and D-R isotherm being the most important ones.
Langmuir isothermal model is a model successfully used in many homogeneous single-layer adsorption processes. The model considers adsorption by homogenous adsorbent sites. The linear form of the Langmuir model is expressed by Eq. 3:
C_e/q_e =C_e/q_m +1/(K_l q_m ) (3) where Ce is the concentration of metal ion in equilibrium (mg/L), qe (mg/g) is the amount of metal ion adsorbed in equilibrium per gram of adsorbent, and qmax and kL are Langmuir model constants representing adsorption capacity (mg/g) and adsorption energy (L/g), respectively. These constants are obtained by measuring the slope and y-intercept of the linear equation of Ce/qe as a function of Ce. Another important and effective parameter that characterizes the properties and properties of the Langmuir equation is a dimensionless factor called isolation factor (RL). The RL represents the state of adsorption isotherm model. For values RL>1, RL=0, RL=1, and 0<RL<1, the process is undesirable, irreversible, linear, and desirable, respectively [32]. The RL is determined using Eq. 4:
R_L=1/(1+K_L C_0 ) (4) where C0 (mg/L) is the initial concentration of the ion in aqueous solution.
The linear relationship and parameters of Langmuir, Freundlich and D-R isotherm models for the lead and cobalt ions are shown in Figures 11 and Table 1 and 2, respectively. The determined correlation coefficient (R2) using the Freundlich and Langmuir isotherm model (R2>0.94) for the lead and cobalt ions adsorption has approximately the same values for both of the adsorbents, suggesting that the ions adsorption process followed by using the adsorbents from both the Freundlich and Langmuir isotherm models, and homogeneous and heterogeneous levels have played a role in the process of elimination [35]. The value of the parameters n and Kf of the Freundlich isotherm model indicate that the ion adsorption process is physical and desirable and HAp/Fe3O4 magnetic nanocomposite compared to HAp adsorbs more lead and cobalt ions from aqueous solution. The maximum adsorption capacity was determined using the Langmuir equation; i.e., 105.263 mg/g and 109.89 mg/g for lead and 102.04 mg/g and 107.52 mg/g for cobalt using HAp and HAp/Fe3O4 nanocomposites, respectively. Different RL values were less than 1 for lead and cobalt ions adsorption using HAp and HAp/Fe3O4 nanocomposite, showing that the ion adsorption using the adsorbents is a convenient and desirable process. The free energy was determined to be 1.261KJ/mol and 1.666KJ/mol using the D-R model for the adsorption of lead and 1.11KJ/mol and 1.49KJ/mol for cobalt ions using HAp and HAp/Fe3O4 nanocomposite, respectively. Considering the amount of determined free energy, it was concluded that the process of adsorption of lead and cobalt metal ions using the adsorbents is physical because the calculated E value is less than 8KJ/mol for both the metal ions.
The Freundlich isotherm is an experimental model capable of describing the adsorption of organic and inorganic compounds by a variety of adsorbents. This model is used for non-ideal adsorption within non- homogeneous surfaces. The linear form of this model is Eq. 5 [33]:
Lnq_e=LnK_f+1/n LnC_e (5) where qe (mg/g) is the equilibrium adsorption capacity, Ce (mg/L) is the equilibrium concentration of the metal ion in solution, Kf and n are the adsorption process constants that represent respectively the adsorption capacity, force, and the adsorption power, and are determined from the slope and Intercept of Freundlich linear equation.
The D-R isotherm model is another isotherm model used in previous studies [34]. As a semi-experimental model, D-R assumes that adsorption occurs within the multilayer levels resulting from Van der Waals forces. This model is also used to detect the type of physical and chemical adsorption process. The linear form of this model is expressed by Eq. 6:
lnq_e=lnq_m-βε^2 (6) where β (mol2/J2) and qm (mg/g) are the constants of the D-R model and ԑ is the Polanyi potential determined from the equation ԑ = RTln (1 + 1/Ce). R is the constant of the gases (8.314 J/mol.K) and T is the absolute temperature (K). To determine the constants of the D-R isotherm model, the diagram of lnqe versus ԑ2 was used. Moreover, β and qm were obtained from slope and y-intercept, respectively. where β represents the mean free energy of the adsorption (E), which is determined by Eq. 7:
E=1/√2β (7)
The average free energy of the adsorption determines the type of adsorption process. If the average free energy of adsorption is between 8 and 16 KJ/mol, the adsorption process is a changing ion type. If the mean free energy of adsorption is less than 8KJ/mol, it shows that the mechanism of adsorption is physical [34].

| Models | Parameters | HAP/Fe O 3 4 | HAP | ||||||||
| Langmuir | q (mg/g) m | 109.89 | 105.263 | ||||||||
| K (L/mg) L | 0.237 | 0.158 | |||||||||
| C /q = C /q + 1/Kq e e e m l m | R2 | 0.991 | 0.9868 | ||||||||
| R L | 0.051-0.296 | 0.0733-0.387 | |||||||||
| Freundlich | n | 1.479 | 1.466 | ||||||||
| K(mg/g(L/mg)1/n) f | 20.263 | 14.69 | |||||||||
| lnq = ln K + 1/n lnC e f e | |||||||||||
| R2 | 0.9866 | 0.9794 | |||||||||
| DubininRadushkevich | E (KJ/mol) | ||||||||||
| 1.666 | 1.261 | ||||||||||
| (D-R) | |||||||||||
| q (mg/g) m | 49.973 | 47.275 | |||||||||
| lnq = ln q -βɛ2 e m | βx106(mol2/J2) | 0.1801 | 0.3143 | ||||||||
| R2 | 0.8693 | 0.8611 |
Table 1: Isotermic Parameters Determined for Lead-ion Adsorption Processes Using Hydroxyapatite and Hydroxyapatite/Fe3O4
| Models | Parameters | HAP/Fe O 3 4 | HAP | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| q (mg/g) m | 107.526 | 102.04 | |||||||||
| Langmuir | |||||||||||
| K (L/mg) L | 0.185 | 0.1406 | |||||||||
| y = 0.0093x + 0.0503 (HAp/Fe O ) 3 4 | R2 | 0.9823 | 0.9954 | ||||||||
| y = 0.0098x + 0.0697 (HAp) | R L | 0.0633-0.351 | 0.0816-0.415 | ||||||||
| Freundlich | n | 1.494 | 1.465 | ||||||||
| y = 0.6693x + 2.8244 (HAp/Fe O ) 3 4 | K (mg/g (L/mg)1/n) f | 16.85 | 13.144 | ||||||||
| y = 0.6823x + 2.576 (HAp) | R2 | 0.9854 | 0.9738 | ||||||||
| E (KJ/moL) | 1.492 | 1.115 | |||||||||
| Dubinin–Radushkevich (D-R) | |||||||||||
| q (mg/g) m | 46.978 | 46.768 | |||||||||
| y = -0.2245x + 3.8497 (HAp/Fe O ) 3 4 | βx10-6(mol2/J2) | 0.2245 | 0.4023 | ||||||||
| y = -0.4023x + 3.8452 (HAp) | R2 | 0.8334 | 0.8715 |
Table 2: Isotermic Parameters Determined for cobalt-ion Adsorption Processes Using Hydroxyapatite and Hydroxyapatite/Fe3O4
Study of Thermodynamics
In this study, to evaluate the process behavior, we investigated thermodynamic parameters such as enthalpy (ΔH0), entropy (ΔS0), and Gibbs free energy (ΔG0). The thermodynamic parameters are determined using the Eq. 8:
∆G°=-RTlnk_(D )(8) where ΔG0 is the free energy of Gibbs, R is the universal gas constant (8.314 J/mol.K), T is absolute temperature (K), and kD is equilibrium constant. The constant value of the adsorption equilibrium is determined by Eq. 9:
k_D=q_e/C_e (9) where qe is the amount of metal ion adsorbed on the surface of the adsorbents at the time of equilibrium (mg/g) and Ce is the amount of metal ion remaining in solution during the equilibrium.
In order to determine the thermodynamic parameters of enthalpy (ΔH0) and entropy (ΔS0), Eq. 10 was used:
lnk=(-∆G°)/RT=(-∆H°)/RT+(∆S°)/R (10) The values of ΔH 0 and ΔS0 are determined from the slope and intercept of the LnkD curve vs. 1/T (Figure 12), and the values are shown in Tables 3 and 4. Gibbs free energy calculated for the lead and cobalt ions adsorbents was negative, which indicates that it is thermodynamically optimal and spontaneous. Also, the value of ΔH0 was negative, suggesting that the interactions between adsorbents and the ions are exothermal. It also shows that the process of adsorption of the heavy metal ions using the adsorbents is physical because ΔH0 is less than 40KJ/mol. The amount of ΔS0 was negative for the lead and cobalt ions adsorption process, showing the reduced random collisions of the ions in the solid (adsorbent) and aqueous solution during the adsorption [36].

| Adsorbent | T(K) | ΔG°(KJ/moL) | ΔH°(KJ/moL) | ΔS°(J/mol.K) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 298.15 | -7.949 | |||||||||||||
| 308.15 | -7.29 | |||||||||||||
| HAP/Fe O 3 4 | -24.559 | -55.884 | ||||||||||||
| 318.15 | -6.789 | |||||||||||||
| 328.15 | -6.242 | |||||||||||||
| 298.15 | -6.712 | |||||||||||||
| 308.15 | -6.514 | |||||||||||||
| HAP | -18.687 | -39.899 | ||||||||||||
| 318.15 | -6.062 | |||||||||||||
| 328.15 | -5.511 |
Table 3: Thermodynamic parameters determined for the lead ion adsorption process using HAP/Fe3O4 and HAP adsorbents.
| Adsorbent | T(K) | ΔG°(KJ/moL) | ΔH°(KJ/moL) | ΔS°(J/moL.K) | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 298.15 | -7.399 | |||||||||||||
| 308.15 | -6.809 | |||||||||||||
| HAP/ Fe O 3 4 | -21.603 | -47.828 | ||||||||||||
| 318.15 | -6.385 | |||||||||||||
| 328.15 | -5.937 | |||||||||||||
| 298.15 | -6.221 | |||||||||||||
| 308.15 | -5.992 | |||||||||||||
| HAP | -16.419 | -34.032 | ||||||||||||
| 318.15 | -5.684 | |||||||||||||
| 328.15 | -5.17 |
Table 4: Thermodynamic parameters determined for the cobalt ion adsorption process using HAP/Fe3O4 and HAP adsorbents.
Kinetic Study
Adsorption kinetics is used to determine the mechanism of controlling adsorption processes such as surface adsorption, chemical reaction, and penetration mechanisms. Several models have been used in previous works for studying the adsorption kinetics. In the present work, pseudo-first-order kinetic models and pseudo- second-order kinetic models were used to investigate the kinetic behavior of lead and cobalt ions adsorption using HAp and magnetic-magnetic composite HAp/Fe3O4.
The linear equations of pseudo-first-order and second- order kinetic models are shown by Eqs. 11 and 12, respectively Ln(q_e-q_t )=lnq_e-k_1 t (11) t/q_t =(1/(K_2 q_e^2 ))+ t/q_e (12) where qe is the amount of ion adsorbed in equilibrium (mg/g), qt is the amount of ion adsorbed (mg/g) per gram of adsorbent at any time, and k1 is the constant adsorption of the pseudo-first-order kinetics (1/min), and K2 is the second-order kinetic equilibrium constant (g.mg-1.g-1). The kinetic parameters for pseudo-first and second kinetic models for adsorption of lead and cobalt ions using the adsorbents at temperatures of 25-55℃ are respectively determined by plotting the linear relation between ln(qe-qt) and t / qt vs. t that are shown in Figures 13 -16.



![Figure 16: The linear relationship between pseudo second order kinetic models for the process of adsorption of cobalt metal ions by adsorbents of (a) hydroxyapatite (b) hydroxyapatite/Fe3O4 The parameters and constants determined using the kinetic models are shown in Tables 5 and 6. The results show that pseudo-second-order kinetic models have a higher coefficient of determination (R2) compared to the first-order kinetic models in different temperatures, suggesting that the lead ion adsorption better follows the pseudo-second-order kinetic model. It is also worth noting that the changes in the adsorption capacity (qe.cal) are not consistent with the use of first-order kinetic models with temperature changes, and are less than the adsorption capacity determined by the adsorption process (qe. (Exp)). Accordingly, it can be argued that the first-order kinetic model is not well suited for describing the kinetic behavior of the lead ion adsorption process using the desired adsorbents [24]. Meanwhile, these changes are known in a pseudo-second-order kinetic model, and the amount of adsorption capacity is reduced with increasing temperature. The results obtained for the cobalt are given in table showing that this ion has the same behavior as lead.](/fulltextimages/4031/fig_16.png)
Figure 16: The linear relationship between pseudo second order kinetic models for the process of adsorption of cobalt metal ions by adsorbents of (a) hydroxyapatite (b) hydroxyapatite/Fe3O4 The parameters and constants determined using the kinetic models are shown in Tables 5 and 6. The results show that pseudo-second-order kinetic models have a higher coefficient of determination (R2) compared to the first-order kinetic models in different temperatures, suggesting that the lead ion adsorption better follows the pseudo-second-order kinetic model. It is also worth noting that the changes in the adsorption capacity (qe.cal) are not consistent with the use of first-order kinetic models with temperature changes, and are less than the adsorption capacity determined by the adsorption process (qe. (Exp)). Accordingly, it can be argued that the first-order kinetic model is not well suited for describing the kinetic behavior of the lead ion adsorption process using the desired adsorbents [24]. Meanwhile, these changes are known in a pseudo-second-order kinetic model, and the amount of adsorption capacity is reduced with increasing temperature. The results obtained for the cobalt are given in table showing that this ion has the same behavior as lead.
| Pseudo-first-order | Pseudo-second-order | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Temperature (K) | q (mg/g) e.exp | |||||||||||||||||||
| K (1/min) 1 | q (mg/g) e1.cal | R2 | K (g/mg.min) 2 | q (mg/g) e2.cal | R2 | |||||||||||||||
| HAP/Fe O 3 4 | ||||||||||||||||||||
| 298.15 | 9.671 | 0.0637 | 3.085 | 0.9185 | 0.0402 | 9.93 | 0.9997 | |||||||||||||
| 308.15 | 9.529 | 0.066 | 3.732 | 0.9669 | 0.037 | 9.803 | 0.9996 | |||||||||||||
| 318.15 | 9.336 | 0.067 | 3.518 | 0.9101 | 0.0351 | 9.633 | 0.9995 | |||||||||||||
| 328.15 | 9.214 | 0.0562 | 3.54 | 0.9358 | 0.0307 | 9.532 | 0.9995 | |||||||||||||
| HAP | ||||||||||||||||||||
| 298.15 | 9.418 | 0.0757 | 4.547 | 0.9714 | 0.0354 | 9.708 | 0.9996 | |||||||||||||
| 308.15 | 9.35 | 0.0605 | 4.157 | 0.95 | 0.0286 | 9.689 | 0.9996 | |||||||||||||
| 318.15 | 9.148 | 0.0668 | 4.845 | 0.9549 | 0.028 | 9.505 | 0.9995 | |||||||||||||
| 328.15 | 9.047 | 0.064 | 6.048 | 0.966 | 0.0228 | 9.451 | 0.9995 |
Table 5: The kinetic parameters determined for the lead ion adsorption process using hydroxyapatite and hydroxyapatite/Fe3O4 adso
| Pseudo-first-order | Pseudo-second-order | |||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Temperature (K) | q (mg/g) e.exp | |||||||||||||||||||
| K (1/min) 1 | q (mg/g) e1.cal | R2 | K (g mg-1min-1 2 | q (mg/g) e2.cal | R2 | |||||||||||||||
| HAp/ Fe O 3 4 | ||||||||||||||||||||
| 298.15 | 9.566 | 0.0623 | 3.08 | 0 | .8825 | 0.0373 | 9.842 | 0.9996 | ||||||||||||
| 308.15 | 9.434 | 0.066 | 3.883 | 0 | .9352 | 0.0328 | 9.746 | 0.9995 | ||||||||||||
| 318.15 | 9.236 | 0.0607 | 3.634 | 0 | .9141 | 0.0407 | 9.505 | 0.9995 | ||||||||||||
| 328.15 | 9.127 | 0.0653 | 4.678 | 0 | .9697 | 0.0278 | 9.478 | 0.9993 | ||||||||||||
| HAp | ||||||||||||||||||||
| 298.15 | 9.39 | 0.0582 | 4.21 | 0 | .9772 | 0.028 | 9.737 | 0.9996 | ||||||||||||
| 308.15 | 9.177 | 0.0697 | 4.903 | 0.952 | 0.0277 | 9.542 | 0.994 | |||||||||||||
| 318.15 | 9.084 | 0.057 | 4.42 | 0 | .9532 | 0.024 | 9.478 | 0.9992 | ||||||||||||
| 328.15 | 8.978 | 0.0553 | 5.041 | 0 | .9971 | 0.022 | 9.389 | 0.9995 |
Table 6: The kinetic parameters determined for the cobalt ion adsorption process using hydroxyapatite and hydroxyapatite/Fe3O4 ad
In summary, HAp and HAp/Fe3O4 magnetic nanocomposites were synthesized and used as an adsorbent for the effective adsorption of lead and cobalt ions. The processing parameters were studied and found that the adsorption concentration and the contact time increased with an increase in adsorption level. FTIR results confirmed the presence of functional groups such as hydroxyl, phosphate, and carbonyl groups, which are
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