Abstract
Pollution of heavy metals in water can affect the health of humans and the environment; therefore, removal of heavy metal ions is getting the attention of scientists. To reduce the negative impact of heavy metals on human health and the environment, Cd2+ ions present in water were treated using hydroxyapatite (HAp) as adsorbent. The effects of contact time, initial Cd2+ concentration, solution pH, and adsorbent mass on the adsorption capacity and efficiency of HAp were investigated. Cd2+ uptake was quantitatively evaluated using Langmuir and Freundlich adsorption isotherms. The maximum monolayer adsorption capacity was 119 mg/g. The experimental adsorption data were analyzed using three kinetic models: Lagergren’s pseudo-first-order law, McKay and Ho’s pseudo-second-order law, and the intra-particle diffusion model. The results showed that the Cd2+ removal process follows the pseudo-second-order law.
1 Introduction
Nowadays, the large amount of electronic waste increases the contamination risks of heavy metals. If this waste is not treated with a suitable process or leaks from storage tanks, it can affect the health of humans and cause serious environmental problems in the natural eco-system. Heavy metals such as mercury, chromium, lead, copper, cadmium (Cd), and manganese are known as highly toxic elements. Among toxic heavy metals, Cd is one of the most dangerous to human health. Cd can cause serious damage to the kidneys and bones. Itai-itai disease, renal damage, emphysema, hypertension, and testicular atrophy are all harmful effects of Cd [1]. Therefore, the release of Cd to the natural environment should be prevented.
Many processes of heavy metal ion treatment in water are found in the literature, including adsorption [2], chemical precipitation [3], ion exchange [4], and electrochemical treatment [5]. Among them, adsorption is a common method that is widely used owing to its high efficiency and simplicity, as well as the availability of different adsorbents. Many different materials can be used for adsorption, such as activated carbon, zeolites, clays, polymers, and hydroxyapatite (HAp) [6], [7], [8], [9], [10].
HAp [Ca10(PO4)6(OH)2] is a main component of bone, teeth, and hard tissues of the human body and other mammals. It is osteoconductive, biocompatible, and has excellent bioactive properties; thus, it is widely applied in many fields such as in the manufacturing of calcium supplements or biomedical materials. A few years ago, HAp was used to remove heavy metal ions present in water [1], [11], [12]. Mobasherpour et al. synthesized HAp by chemical precipitation and removed Cd2+ ions from water [1]. Additionally to synthesis and heavy ion treatment, the adsorption equilibrium was described by using the Langmuir isotherm model and a maximum adsorption capacity of about 142.857 mg/g Cd2+ was found [11]. Another paper reported that nanosized HAp (spherical particles with 30-nm diameter) can remove Cd2+ with a maximum adsorption capacity of about 123.45 mg/g [12]. These results show that HAp can remove heavy metal ions with high efficiency.
The chemical precipitation method was used to synthesize HAp from calcium nitrate, diammonium phosphate solution as reactants with a Ca/P ratio of 1.67, and ammonia as a pH-adjusting agent (pH≈10). The synthesized HAp powder had a single-phase structure and cylinder shape with size <100 nm [13]. In this study, we used HAp to treat Cd2+ ions in water and investigated the effect of contact time, initial Cd2+ concentration, solution pH, and adsorbent mass on adsorption capacity and efficiency. From the experimental data, the equilibrium, kinetic models, and adsorption isotherms were determined. Moreover, the mechanism of the Cd2+ removal process was also suggested.
2 Materials and methods
2.1 Materials
HAp was synthesized by chemical precipitation using Ca(NO3)2 and (NH4)2HPO4. The obtained HAp is a single-phase, cylinder-shaped, average crystal with size <100 nm [13].
Ca(NO3)2·4H2O (M=236.15 g/mol, ≥99.0%), (NH4)2HPO4 (M=132.05 g/mol, ≥99.0%), and 65% HNO3 (D=1.37 g/ml, M=36.46 g/mol). NaOH (99.2%, M=40 g/mol) and Cd(NO3)2 (M=236.42 g/mol, ≥99.0%) are purified chemicals from Merck (Darmstadt, Germany).
2.2 Adsorption experiments
Cd2+ ion adsorption experiments were conducted using a 50 ml Cd(NO3)2 solution at various initial concentrations from 56 to 281 mg/l. HAp powder (0.1 g) was dispersed into the Cd(NO3)2 solution. The initial pH values of the solution were adjusted in the range from 2 to 10 by using 65% HNO3 or 5% NaOH solution, and controlled with a pH meter (827 pH Lab). The mixtures were stirred at a rate of 750 rpm by using a magnetic stirrer (VMS-C7 Advanced) during different times (5, 10, 15, 20, 30, 45, 60, 90, and 120 min). Thereafter, the suspensions were separated by using a glass fiber filter with diameter of 90 mm (GA-55). The Cd2+ concentration in the solutions after treatment was determined using an atomic absorption spectrometer (AAS Perkin-Elmer 3110).
The Cd2+ adsorption capacity and efficiency were calculated according to the following equations:
where q (mg/g) is the Cd2+ adsorption capacity and H (%) is the HAp adsorption efficiency. Co (mg/l) is the initial Cd2+ concentration in the solution, Ce (mg/l) is the equilibrium Cd2+ concentration in the solution after treatment, V (l) is the solution volume, and m (g) is the mass of HAp.
The dissolution of HAp at different pH values was determined through the concentration of calcium (Ca2+) in the solution when HAp is dispersed in water. The Ca2+ concentration leached was determined by using AAS.
The phase component of adsorbent before and after Cd2+ treatment were analyzed using X-ray diffraction (XRD) (Siemens D5000 diffractometer, CuKα radiation, λ=1.54056 Å, with a step angle of 0.030°, scanning rate of 0.04285°/s, and 2θ in the range of 20–70°).
The crystallite diameter of HAp before and after treatment was calculated from (002) reflection in XRD patterns, using the Scherrer equation [14]:
where D (nm) is the crystallite size, λ is the wavelength of the X-ray radiation (CuKα), θ (rad) is the diffraction angle, and B is the full width at half-maximum (rad) of the peak along (002) direction.
3 Results and discussion
3.1 Effect of contact time
The variation of the cadmium adsorption capacity and efficiency according to the contact time determined by using 0.1 g HAp powder with 281 mg/l initial Cd2+ concentration, pH 5.9, at 20°C, is presented in Figure 1. When the contact time increased from 5 to 60 min, the adsorption capacity also increased. The adsorption capacity increased rapidly within the first 20 min, then increased slowly and reached a plateau after 60 min. The adsorption efficiency followed the same trend in changed contact time. After 60 min, the efficiency was 86±0.5%, corresponding to an adsorption capacity of 122±0.5 mg/g. Therefore, for further experiments, a contact time of 60 min was chosen because a steady-state behavior was reached.

Variation of Cd2+ adsorption capacity and efficiency of 0.1 g HAp according to the contact time.
3.2 Adsorption kinetics
The adsorption kinetics were investigated with 50 ml of a 281 mg/l solution of Cd2+ in the presence of 0.1 g HAp powder at a stirring rate of 750 rpm at 20°C. The amount of Cd2+ ions adsorbed at equilibrium time (qe) was calculated using Eq. (4) below:
where Co and Ce are the initial and equilibrium concentrations (mg/l) of Cd2+ ions in solution, V is the solution volume (l), and m is the absorbent mass (g) used during the experiments. The obtained experimental data after different times from 5 to 120 min were analyzed using three kinetic models: Lagergren’s pseudo-first-order law, McKay and Ho’s pseudo-second-order law, and the intra-particle diffusion model. The equations of the three models are given in Eqs. (5), (6), and (7), respectively:
where qt (mg/g) is the adsorption capacity at time t, qe (mg/g) is the adsorption capacity at equilibrium, and k1 (min−1) is the pseudo-first-order adsorption rate constant;
where k2 (g/min·mg) is the pseudo-second-order rate constant for adsorption; and
where C is the intercept that provides the ideal boundary layer thickness and kp is the intra-particle diffusion rate constant (mg/g·min1/2 g).
Figure 2A presents the kinetic data plotted using Lagergren’s pseudo-first-order equation [Eq. (5)], while Figure 2B presents the kinetic data plotted using McKay and Ho’s pseudo-second-order equation [Eq. (6)]. A linear relationship with a high correlation coefficient (R2=0.9997) between t/qt and t was obtained, which indicates the applicability of the pseudo-second-order model to describe the Cd2+ adsorption process. The calculated parameters of this model are given in Table 1.

Adsorption data modeled using three kinetic models: (A) Lagergren’s pseudo-first order law, (B) McKay and Ho’s pseudo-second-order law, and (C) the intra-particle diffusion model.
Parameters of the Cd2+ removal process calculated using McKay and Ho’s pseudo-second-order law model.
| k2 (g/mg·min) | qe (mg/g) | R2 |
|---|---|---|
| 0.0022 | 126.58 | 0.9997 |
3.3 Effect of Cd2+ concentration
The influence of the initial Cd2+ concentration on the adsorption capacity of HAp powder was examined with initial Cd2+ concentrations ranging from 56 to 281 mg/l. Figure 3 presents the adsorption capacity and efficiency of 0.1 g HAp adsorbent dispersed in 50 ml Cd2+ solution with different concentrations at 20°C and stirred at a rate of 750 rpm for 60 min. The results showed that when the initial Cd2+ concentration increased from 56 to 281 mg/l, the adsorption capacity increased strongly from 28±0.1 to 122±0.5 mg/g. The increase can be explained as follows: higher initial concentrations are able to overcome mass-transfer-related resistances existing between the aqueous and solid adsorbent phases by effectively creating a driving force [12].

Variation of the Cd2+ adsorption capacity and efficiency of 0.1 g HAp according to the Cd2+ initial concentration.
3.4 Adsorption isotherm
In order to determine the adsorption capacity of HAp toward Cd2+ ions, sorption studies were carried out as follows: 0.1 g HAp adsorbent was dispersed into 50 ml Cd2+ solution with different initial concentrations from 56 to 281 mg/l, at 20°C; the mixtures were agitated at 750 rpm for a contact time of 60 min. The Langmuir and Freundlich adsorption isotherms were used to describe the Cd2+ removal process by HAp powder. The Freundlich isotherm equation used for modeling the equilibrium data is presented in its linear form below:
where kF and n are Freundlich parameters and were determined by plotting log qe versus log Ce.
The linear form of the Langmuir equation can be expressed as follows:
where qm (mg/g) is the monolayer adsorption capacity; b (l/g) is the Langmuir constant that is related to the free energy of adsorption; and Ce (mg/l) and qe (mg/g) are the equilibrium concentrations of adsorbate in solution and on the surface of HAp, respectively.
The parameters Ce, log Ce, Q, log Q, and Ce/Q for the two isotherms are determined and shown in Table 2. Figure 4 shows the linear fits of the experimental data using these adsorption isotherms. The results indicated that the adsorption became increasingly favored as the Cd2+ initial concentration increased. The analysis of results on the basis of the R2 value for two isotherm equations showed that the Langmuir adsorption isotherm plot displayed good linear fit (R2=0.9962). From the slope of the fit, the calculated maximum monolayer adsorption capacity was about 119 mg/g.
Parameters Ce, log Ce, Q, log Q, and Ce/Q for the two isotherms.
| mHAp (g) | Co (mg/l) | Ce (mg/l) | Log Ce | Q (mg/g) | Log Q | Ce/Q |
|---|---|---|---|---|---|---|
| 0.1 | 56.2 | 0.136 | −0.865281685 | 28.032 | 1.448 | 0.005 |
| 112.4 | 0.341 | −0.467341676 | 56.029 | 1.748 | 0.006 | |
| 168.6 | 1.364 | 0.135 | 83.618 | 1.922 | 0.016 | |
| 196.7 | 4.091 | 0.612 | 96.304 | 1.984 | 0.042 | |
| 224.8 | 20.455 | 1.311 | 102.172 | 2.009 | 0.200 | |
| 252.9 | 25.910 | 1.413 | 113.495 | 2.051 | 0.228 | |
| 281 | 36.820 | 1.566 | 122.090 | 2.087 | 0.302 |

(A) Freundlich and (B) Langmuir adsorption isotherms for Cd2+ sorption by HAp powder.
3.5 Effect of solution pH
Subsequently, to investigate the effect of the initial pH of the solution on the removal of Cd2+ ions using HAp powder, the pH value at which the surface charge of HAp is zero (pHpzc) was estimated. HAp (0.1 g) was dispersed into water with various initial pH values (pHo) from 2 to 10, and the pH was adjusted using 65% HNO3 or 5% NaOH solution. These mixtures were stirred at a rate of 750 rpm for 30 min at 20°C; thereafter, the pH was measured (pH1). As the results of pHo and pH1, the ∆pH values were calculated and presented in Table 3. From the relationship between ∆pH and pHo (Figure 5), the pHpzc value corresponding to a ∆pH of 0 was determined, and its value was found to be about 7.2 in this study.
Initial pH (pHo), final pH (pH1), and ∆pH values of water containing 0.1 g HAp.
| pHo | pH1 | ∆pH |
|---|---|---|
| 2.14 | 5.33 | 3.23±0.04 |
| 3.03 | 6.34 | 3.37±0.06 |
| 4.08 | 6.82 | 2.94±0.20 |
| 5.9 | 7.28 | 1.13±0.26 |
| 6.95 | 7.38 | 0.48±0.05 |
| 7.95 | 7.33 | −0.56±0.06 |
| 8.9 | 7.38 | −1.44±0.09 |
| 10.03 | 7.56 | −2.54±0.07 |

Relationship between ∆pH and initial pH value of water containing 0.1 g HAp.
The concentration of Ca2+ leached from HAp powder into the solution with different initial pH values was determined using AAS (see Figure 6). The results showed that when the solution pH increased, the dissolution of HAp decreased. When the pH value was <4, HAp was partly dissolved, following Eq. (10). The results were confirmed by determining the Ca2+ concentration in the solution (Figure 6). In the pH range of 4–7, the pH1 value increased. In contrast, final pH decrease occurred in the range of higher initial pH (7–10). The results can be explained according to the study by Wu et al. [15], as follows:

Concentration of Ca2+ leached from HAp into the water according to solution pH.
In the lower range of initial pH value from 4 to 7, protons in the solution were consumed by protonation of the surface ≡P-O− and ≡Ca-OH, resulting in final pH value increase. At higher initial pH (7–10), the final pH decreased due to OH− consumption via deprotonation of surface ≡Ca-OH2+ and ≡P-OH sites. Thus, neutral ≡Ca-OH and negatively charged ≡P-O− species predominate in alkaline solutions, causing the HAp surface to become negatively charged in solutions with a high pH value [15], [16].
For Cd2+ adsorption, the suitable pH range is above the pHpzc value, as the HAp surface is negatively charged in this range. In water, cadmium exists in different forms, e.g. Cd2+, Cd(OH)+,
Variation of the parameters Ce, q, and H according to the initial pH.
| Initial pH | Final pH | Co (mg/l) | Ce (mg/l) | H (%) | q (mg/g) |
|---|---|---|---|---|---|
| 2.02 | 6.02 | 281 | 74.32±3.41 | 74±1.23 | 103±1.70 |
| 2.98 | 6.31 | 55.91±2.05 | 80±0.74 | 113±1.02 | |
| 3.93 | 6.51 | 48.41±1.36 | 83±0.49 | 116±0.68 | |
| 5.00 | 6.54 | 42.96±0.61 | 85±0.24 | 119±0.34 | |
| 6.00 | 6.60 | 39.56±1.36 | 86±0.49 | 120±0.68 | |
| 7.09 | 6.71 | 38.18±0.68 | 86±0.24 | 121±0.34 | |
| 7.36 | 6.61 | 36.82±0.68 | 87±0.24 | 122±0.34 | |
| 7.66 | 6.40 | 38.87±1.02 | 86±0.36 | 121±0.51 | |
| 7.91 | 6.39 | 37.50±1.68 | 87±0.24 | 122±0.34 |
3.6 Effect of adsorbent mass
The effect of HAp amount ranging from 0.05 to 0.15 g on the adsorption capacity and efficiency is presented in Table 5 and Figure 7. The data in Table 4 show that the amount of Cd2+ removed from the solution increased rapidly with increasing HAp amount from 0.05 to 0.1 g. However, when the amount of HAp continued to increase from 0.1 to 0.15 g, the efficiency increased slowly from 86% to 98%, whereas the adsorption capacity strongly decreased. Therefore, the optimum amount of HAp is 0.1 g.
Variation of the parameters Ce, Q, and H according to the amount of HAp.
| Mass of HAp (g) | Co (mg/l) | Cd2+ removed (mg/l) | q (mg/g) | H (%) |
|---|---|---|---|---|
| 0.05 | 281 | 139±2.68 | 137±2.68 | 49±0.53 |
| 0.08 | 205±2.64 | 126±1.90 | 72±0.82 | |
| 0.10 | 242±0.37 | 122±0.50 | 86±0.47 | |
| 0.12 | 252±2.14 | 106±0.85 | 91±1.19 | |
| 0.15 | 269±2.73 | 91±1.09 | 98±2.37 |

Effect of HAp mass on its adsorption capacity and efficiency.
3.7 Characterization of HAp adsorbent and Cd2+ exchanged samples
From the presented results, one can conclude that HAp powder has a maximum Cd2+ adsorption efficiency of about 86±0.5% at pH 6, for a contact time of 60 min, with 0.1 g amount of HAp. The phase composition of the obtained powder after treatment was investigated using X-ray analysis (Figure 8). In comparison with HAp, no changes were detected after treatment. From the XRD patterns, the crystal diameter was determined by using the Scherrer equation, and its value was 24.6 and 23.8 nm with HAp before and after treatment, respectively. The crystal diameter decreased slightly and can be explained by the ion exchange reaction between Ca2+ in HAp and Cd2+ adsorption on the surface of HAp, as the ionic radius of Cd2+ (0.97 Å) slightly differs from that of Ca2+ (0.99 Å).

XRD patterns of HAp (A) before and (B) after Cd2+ treatment.
3.8 Cd2+ uptake mechanism
The Cd2+ uptake mechanism can be suggested as follows: the dissolution of HAp in aqueous solution containing Cd2+ ions follows Eq. (13).
The adsorption of Cd2+ on the surface of HAp and the ion exchange reaction between the Cd2+ adsorbed and the Ca2+ of HAp take place.
Moreover, the reaction to induce precipitation of Ca10(PO4)6(OH)2 or Ca10−xCdx(PO4)6(OH)2 can occur as follows:
4 Conclusions
The current study demonstrated the removal process of Cd2+ ions using HAp. The results showed that 0.1 g HAp powder can remove 86±0.5% Cd2+ in 50 ml of 281 mg/l Cd(NO3)2 solution with an adsorption capacity of 122±0.5 mg/g. The results are similar to those reported by Poinern et al. [12]. The adsorption experiment data displayed good fit by the pseudo-second-order law model with a high interrelation coefficient (R2=0.9997). The Cd2+ removal process was best described by the Langmuir adsorption isotherm (R2=0.9962). The maximum monolayer adsorption capacity calculated from the fit of the Langmuir adsorption isotherm was about 119 mg/g. The mechanisms of the Cd2+ ion removal process are the dissolution/precipitation of Ca10(PO4)6(OH)2 or Ca10−xCdx(PO4)6(OH)2, the adsorption of Cd2+ ions on the surface of adsorbent, and the ion exchange between the Cd2+ adsorbed and the Ca2+ in HAp.
Acknowledgments
This work was supported by the bilateral cooperation project between the R.S of Vietnam and Wallonia-Brussels.
Conflict of interest statement: The authors declare to have no conflict of interests regarding this article.
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Articles in the same Issue
- Frontmatter
- In this issue
- ASAM-6
- The 6th Asian Symposium on Advanced Materials: Chemistry, Physics and Biomedicine of Functional and Novel Materials (ASAM-6; Hanoi, Vietnam, September 27–30, 2017)
- Synthesis and characterization of (4-arm-star-PMMA)/PMMA-g-SiO2 hybrid nanocomposites
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- Original articles
- Green synthesis and stabilization of earthworm-like gold nanostructure and quasi-spherical shape using Caesalpinia sappan Linn. extract
- Catalytic performance of Ag, Au and Ag-Au nanoparticles synthesized by lichen extract
- Comparative kinetics of the alkali-catalyzed sunflower oil methanolysis with co-solvent under conventional and microwave heating with controlled cooling
- Facile nitration of aromatic compounds using Bi(NO3)3·5H2O/MgSO4 under mechanochemical conditions
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