The lack of knowledge regarding competitive adsorption of heavy metal ions onto water treatment residuals has been hindering their reuse as a medium in stormwater bioretention systems. Competitive adsorption of copper(II), lead(II), cadmium(II), and zinc(II) onto polyaluminium chloride and anionic polyacrylamide water treatment residuals (PAC-APAM WTRs) was evaluated with different pH, temperature, initial concentration, and time. The competitive adsorption removal increased with the increase of pH and temperature. The analysis of the ratios of maximum adsorption capacity of a heavy metal ionic species in a multi-component system to that in a mono-component system (Qmix/Qmono) demonstrated that the coexisting ion had a negative effect on the adsorption of a metal ionic species. The Langmuir model provided a better fit, indicating that the adsorption could be a monolayer adsorption process. The modified Langmuir isotherm studies showed that the affinity order in the multi-component systems was Cu2+>Pb2+>Cd2+>Zn2+. The pseudo-second-order model better described the adsorption kinetics implying that the competitive adsorption behavior could be interpreted by diffusion-based mechanisms. This study contributed to a better understanding the mobility of those frequently occurring heavy metal ions in stormwater runoff in the PAC-APAM WTRs media layer of stormwater bioretention systems.

  • Competitive adsorption of heavy metal ions by PAC-APAM WTRs was investigated.

  • Competitive adsorption removal increased with pH and temperature increase.

  • The coexisting ion had negative effects on the adsorption of a metal ionic species.

  • The affinity order in the multi-component systems was Cu2+>Pb2+>Cd2+>Zn2+.

  • The competitive adsorption could be interpreted by diffusion-based mechanisms.

Graphical Abstract

Graphical Abstract
Graphical Abstract

Water treatment residuals (WTRs) are solid wastes produced from drinking water treatment processes. The worldwide amount of WTRs is more and more substantial due to urban population increase and living quality improvement. As a result, the appropriate disposal of WTRs becomes a primary concern in the water treatment industry. In the past decades, the main disposal method of WTRs was landfilling in most countries. Recently, the sustainability of WTRs landfilling is questioned because this disposal method possibly has environmental risks to nearby ecosystems (Ahmad et al. 2016; Zhao et al. 2018). Therefore, environmental professionals are exploring sustainable, innovative alternative uses for WTRs disposal in the context of developing a more global circular economy (Ahmad et al. 2016; Zhao et al. 2018).

Globally, the main, newly developed, disposal method of WTRs is reuse in land application as the soil amendment to adjust soil pH, to immobilize phosphorous in phosphorus laden soils, and to improve soil structure (Zhao et al. 2018). A few countries have gradually lifted the reuse ratio of WTRs including the Netherlands, Denmark, and Japan with a reuse ratio higher than 98, 75, and 55%, respectively (Zhao et al. 2018). The other sustainable reuse options were summarized by Ahmad et al. (2016) including reuse in wastewater treatment, as the substrate in constructed wetland systems, and in construction and building materials. Previous studies have shown that WTRs have high adsorption capacity for phosphorus (Xu et al. 2020).

Finding the strong affinity of WTRs toward phosphorus in various aqueous solutions enhances the interest of researchers worldwide in applying WTRs to the filling media layer of stormwater bioretention systems with the goal of improving phosphorus removal (Xu et al. 2020). Stormwater bioretention systems cover an area that is used as an engineering strategy in urban water management to treat stormwater runoff, to maximize infiltration, and to mitigate peak flows during rain events. They typically contain vegetation, inlet structure, soil-based media layer, and the underdrain structure at the bottom. The main part is the media layer that removes contaminants by adsorption, precipitation, filtration and plant uptake.

In addition to phosphorus pollution, the presence of heavy metals in stormwater runoff has become another important concern to control non-point source pollution around the world (Genç-Fuhrman et al. 2016). Heavy metals in stormwater runoff can enter the ecological water systems via typical surface water pathways and threaten the health of animals and humans due to their toxicity (Reddy et al. 2014). The sources of heavy metal pollution in stormwater runoff include heavy metal polluted sites caused by industrial pollution, atmospheric deposition, vehicular traffic, domestic fertilizer use, and the use of various metal materials in building and roofing that stormwater runoff flows across (Deng et al. 2016). The dominating heavy metals in stormwater runoff include copper (Cu), lead (Pb), cadmium (Cd), and zinc (Zn) (Deng et al. 2016; Xu et al. 2020). The concentration of heavy metals in road stormwater runoff often fluctuates within a large range (Cu: 22–7,033 μg/L; Pb: 73–1,780 μg/L; Zn: 56–929 μg/L) (Deng et al. 2016). Xu et al. (2020) summarized the removal efficiencies of Cu, Pb, Cd and Zn in stormwater runoff by various media used in stormwater bioretention systems. Overall, WTRs and commercial media have higher removal efficiencies for some heavy metals compared to traditional soil-based media and recycled media, and the removal efficiencies of both types of media are approximately equivalent for each heavy metal tested (Xu et al. 2020). However, WTRs have noteworthy advantages over commercial media due to their low costs. Therefore, the beneficial reuse of WTRs for stormwater bioretention systems as the adsorbent for multiple pollutants is a cost-effective disposal method to replace landfilling.

Research on competitive adsorption of heavy metal ions in stormwater runoff onto WTRs is scarce. The lack of the related information limited the reuse of WTRs in stormwater bioretention systems for the purpose of removing heavy metals since there often exist multiple types of heavy metal ions in stormwater runoff (Al-Ameri et al. 2018; Kluge et al. 2018). Because of the differences of coagulants added in various water treatment processes and methods used in waste handling and management in different water treatment plants, the composition and physiochemical properties of WTRs are different. The combination of polyaluminium chloride (PAC) as the coagulant in water treatment processes and anionic polyacrylamide (APAM) as the coagulant in the dewatering process of water treatment sludge has been increasingly adopted in large-sized municipal water treatment plants around the world and especially in China. The WTRs produced from such a combination are called PAC-APAM WTRs in this paper.

The objectives of this study were to investigate and compare the competitive adsorption behavior of Cu2+, Pb2+, Cd2+, and Zn2+ onto PAC-APAM WTRs in mono-component systems, binary systems, ternary systems, and quaternary systems at varying pH, temperature, initial concentration, and time. The overall objective of this study was to gain insight into the potential competitive adsorption mechanism of heavy metal ions frequently occurring in stormwater runoff by PAC-APAM WTRs and provide implications for their mobility in stormwater bioretention systems with PAC-APAM WTRs as a media layer.

Materials

PAC-APAM WTRs samples were collected from a municipal water treatment plant in Taiyuan city, Shanxi Province, China with the production capacity of 800,000 m3/day, and prepared as performed in our previous studies (Duan & Fedler 2021a, 2021b, 2021c). The final particle size of PAC-APAM WTRs was up to 0.25 mm in equivalent spherical diameter. Scanning electron microscope (SEM) images and detailed analytical results of the physicochemical characteristics of PAC-APAM WTRs can be found in previous studies including bulk density, Brunauer–Emmett–Teller (BET) surface area, pH, the pH value at the point of zero charge (pHpzc), the electrical conductivity (EC), cation exchange capacity (CEC), contents of C, N, H, O, and S elements, and contents of Al, Fe, Ca, Mg, Cu, Pb, Cd, and Zn elements (Duan & Fedler 2021c).

Analytical grade reagents were used in this study. Stock Cu2+, Pb2+, Cd2+, and Zn2+ solutions were prepared by dissolving PbCl2, CuSO4·5H2O, CdCl2, or ZnCl2 in deionized distilled (DDI) water. All working Cu2+, Pb2+, Cd2+, and Zn2+ solutions with designed concentrations were freshly prepared immediately before the adsorption experiments were conducted. The pH adjustments prior to the adsorption experiments were made by using 0.1 mol/L HCl and 0.1 mol/ L NaOH solutions.

Competitive adsorption experiments

The ratios of molar concentrations of different types heavy metal ions in binary systems, ternary systems, and quaternary systems were 1:1, 1:1:1, and 1:1:1:1, respectively. Each competitive adsorption system contained 0.1 g dry PAC-APAM WTRs and 100 mL heavy metal ion solution with different combinations of each metal. After adjusting the pH, competitive adsorption reactors were put into a rotary shaker in darkness and shaken at 140 r/min at different temperature for 6 h. The supernatant was sampled, centrifuged at 3,000 r/min, and filtered through 0.45-μm syringe filters. The filtrates were analyzed by following ASTM-D1688-17 standard test methods for copper in water, ASTM-D3559-15 standard test methods for lead in water, ASTM-D3557-17 standard test methods for cadmium in water, or ASTM-D1691–17 standard test methods for zinc in water. Every competitive adsorption experiment was conducted in triplicate.

For comparison of adsorption behaviors, the mono-component adsorption systems were set up similarly to the multi-component adsorption systems.

Effects of pH

The effects of pH on the competitive adsorption were determined at pH of 2, 4, 6, or 8 at 30 °C with an initial concentration of 2 mmol/L for each heavy metal ionic species and a PAC-APAM WTRs dosage of 1.0 g/L in mono-component systems, binary systems and ternary systems, and at pH of 2–9 in the quaternary system.

The amount of the heavy metal ion i adsorbed onto PAC-APAM WTRs at time t (h), qt,i, (mmol/g), was calculated by using Equation (1):
(1)
where i was the index related to heavy metal ions. C0,i (mmol/L) was the initial concentration of the heavy metal ion i in aqueous phase while Ct,i (mmol/L) was the concentration of the heavy metal ion i at time t (h). V (L) was the total volume of the solution in the competitive adsorption system and M (g) was the mass of PAC-APAM WTRs added to the competitive adsorption system. After preliminary studies, the equilibrium time was determined as 6 h, so qe,i (mmol/g) was calculated by using Equation (1) at t = 6 h.
The adsorption removal percentage (ARt,i, %) of the heavy metal ion i was determined by using Equation (2):
(2)

Temperature effects

The temperature effects were investigated at pH of 6 at 20 °C, 30 °C, or 40 °C with each heavy metal ion initial concentration of 1 mmol/L and PAC-APAM WTRs dosage of 1.0 g/L in mono-component systems and the three multi-component systems. The calculation of qe,i and ARt,i was conducted by using Equations (1) and (2).

Isotherms

Isotherm experiments were studied at pH of 6 at 30 °C with each heavy metal ion initial concentration of 0.5, 1.0, 1.5, 2.0, or 2.5 mmol/L and PAC-APAM WTRs dosage of 1.0 g/L in mono-component systems and multi-component systems. The data were curve fitted into non-linear Langmuir isotherms using (Equation (3)) and non-linear Freundlich isotherms using (Equation (4)). The qe,i (mmol/g) is the adsorption capacity of PAC-APAM WTRs for the heavy metal ion i at equilibrium while qm,i (mmol/g) is the maximum monolayer adsorption capacity. Ce,i (mmol/L) is the equilibrium concentration of the heavy metal ion i in liquid phase, while bi (L/mmol) is the Langmuir isotherm constant of the heavy metal ion i adsorbed by PAC-APAM WTRs. KF,i ((mmol/g)(L/mmol)1/n) is the Freundlich isotherm constant and n is the dimensionless empirical parameter:
(3)
(4)
The modified Langmuir isotherm (ML model) (Equation (5)) was employed to evaluate the unequal competition (Neris et al. 2019) of heavy metal ions with the active sites of PAC-APAM WTRs. The smaller value of the interaction coefficient ηj (dimensionless) of a species in the ML model means a greater affinity with the active sites of adsorbent than the other competing species (Neris et al. 2019; Campos et al. 2020). N is the number of heavy metal ion species in the system:
(5)

In the process of evaluating the affinity of different adsorbates, there were simultaneously two, three, or four models with shared parameter, ηj, to model fit Equation (5) for each binary system, ternary system, or quaternary system, respectively.

Kinetics

Adsorption variances with time were conducted under the conditions: pH 6, 30 °C, 1.0 g/L dosage, 2 mmol/L initial concentration (C0,i) at time of 0.25, 0.50, 1.00, 1.50, 2.00, 4.00, and 6 h. Adsorption kinetics in mono-component or multi-component systems were investigated by fitting the experimental data into a non-linear pseudo-first-order model (Equation (6)) and a non-linear pseudo-second-order model (Equation (7)) (Cao et al. 2019; do Nascimento Júnior et al. 2019). The parameters, k1,i (1/h) and k2,i (g/mmol/h), are the rate constants:
(6)
(7)

Statistical analysis

Analysis of variance (ANOVA) or t-test was used to compare means of a variable at P-value less than 0.05 level after the normality of the data distribution was tested and confirmed by the Kolmogorov–Smirnov analysis at P-value < 0.05 level.

Effects of pH

The solution pH is an important parameter that governs the adsorption process (Liu & Lian 2019). The experimental results showed that the adsorption of Cu2+, Pb2+, Cd2+, and Zn2+ onto PAC-APAM was pH dependent since the removal of these four heavy metal ions in different adsorption systems consistently increased with an increase in pH (Figure 1(a)–1(d)). The removal percentage was lower in the pH range of 2 to 6 than at pH 8 for the same heavy metal ionic species in the same mono-component system (Figure 1(a)), binary system (Figure 1(b)) or ternary system (Figure 1(c)), and lower at pH ≤ 6 than at pH 7 – 9 in quaternary system (Figure 1(d)). The rapid increases in the removal from pH 6 to 8 in the mono-component systems, binary systems and the ternary systems or from pH 6 to 9 in the quaternary system showed that the predominant removal mechanism of heavy metal ions by PAC-APAM WTRs markedly shifted from adsorption to heavy metal precipitation.
Figure 1

pH effects on the removal of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 2 mmol/L; Temperature: 30 °C; Time: 6 h; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Figure 1

pH effects on the removal of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 2 mmol/L; Temperature: 30 °C; Time: 6 h; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Close modal

It is well known that the forms of heavy metal species (supposing M2+ = Cu2+, Pb2+, Cd2+, or Zn2+) existing in aqueous solutions primarily include M2+, M(OH)+, M(OH)20, and M(OH)2(s) (Srivastava et al. 2009). M2+ is widely regarded as the main form at pH ≈6.0 or pH < 6 in aqueous solutions because the solubility of M(OH)2(s) is sufficiently high (Srivastava et al. 2009). Hence, combined with the results of pH effects on the adsorption in this study, pH 6 was selected as the initial pH value in the remaining experiments to avoid significant heavy metal precipitation.

The patterns of pH effects on the removal of heavy metal ions by PAC-APAM could be attributed to various causes. The protonation of H+ in the aqueous solutions results in more H+ ions competing with Cu2+, Pb2+, Cd2+, or Zn2+ for available active sites on the surface of the adsorbent at lower pH (Srivastava et al. 2009; Campos et al. 2020). The pH increase weakens the protonation of H+ resulting in less competition between H+ ions and heavy metal ions for active adsorption sites. As a result, the removal of heavy metal ions increases with an increase in pH. The point of zero charge (pHpzc) of PAC-APAM WTRs used in this study was 9.1. Since all pH values in the studies were lower than pHpzc, the surface of the PAC-APAM WTRs particles was positively charged. With solution pH increase, the adsorbent surface gradually decreased in positive charge (Zhu et al. 2016) with negatively charged active sites increasing (Srivastava et al. 2009). This results in a pH increase that lowers the electrostatic repulsion between heavy metal ions in aqueous solution and the surface of adsorbent particle, which consequently promotes the adsorption of heavy metal ions (Srivastava et al. 2009). Previous studies that compared the spectra of Fourier transform infrared spectroscopy before and after the adsorption of heavy metal ions by PAC-APAM WTRs found that O-H groups, carboxyl groups, and Fe(Al)-O functional groups participated in the adsorption reactions by complicated pathways (Duan & Fedler 2021c). Those chemical adsorption reactions are possibly positively correlated with solution pH. The related detailed specific mechanisms require further studies.

The adsorption removal of Cu2+, Pb2+, Cd2+, and Zn2+ at pH 6 in mono-component systems under same adsorption condition was 64.10%, 56.30%, 36.60%, and 17.90%, respectively. The adsorption removal range of Cu2+, Pb2+, Cd2+, and Zn2+ at pH 6 in multi-component adsorption systems was 38.10% to 60.95%, 31.95% to 51.00%, 28.8% to 34.3%, and 6.45% to 14.30%, respectively. For all metals tested, the mono-component system removed more of the metals than the multi-metal component system, indicating that competitive adsorption occurred in the multi-component systems.

The order of heavy metal ion competitive adsorption at pH 6 was analyzed by using the t-test in binary systems and one-way ANOVA test in ternary and quaternary systems. Results showed that in the binary systems, the removal percentage of Cu2+ was significantly higher than Pb2+ (P-value = 0.001), Cd2+ (P-value = 5.2×10−5), and Zn2+ (P-value = 1.5×10−6), the removal percentage of Pb2+ was significantly higher than Cd2+ (P-value = 6.5×10−5) and Zn2+ (P-value = 1.7×10−6), and the removal percentage of Cd2+ was significantly higher than Zn2+ (P-value = 1.9×10−6). Overall, in ternary and quaternary systems, the adsorption affinity followed the same order as in binary systems: Cu2+>Pb2+>Cd2+>Zn2+. However, the removal percentage difference between Pb2+ and Cd2+ was not significant in the Cu2+-Pb2+-Cd2+ system (P-value = 0.086; the removal: 33.10% and 29.20%, respectively) and in the quaternary system (P-value = 0.135; the removal: 31.95% and 28.80%, respectively). In the other cases, the adsorption removal percentage displayed a statistically significant difference between different heavy metal ions (all P-values < 0.05).

Effects of temperature

Similar to the single system, the adsorption removal of the tested heavy metal ions increased with a temperature increase in competitive adsorption systems (Figure 2). Previous studies in mono-component systems manifested that the adsorption of those ions was occurring naturally via an endothermic chemisorption process (Duan & Fedler 2021a, 2021c). One-way ANOVA tests using a 95% confidence level showed that the increase in temperature from 20 °C to 40 °C significantly (all P-values < 8.66×10−7< 0.05) improved the adsorption removal of those ions in single systems under the same adsorption conditions as in the competitive adsorption systems. The t-test results indicated that, compared to the single systems, the removal of each heavy metal species significantly (all P-values < 0.05) decreased at the same temperature in multi-component systems due to competitive adsorption.
Figure 2

Temperature effects on the adsorption removal of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 1 mmol/L; pH: 6; Time: 6 h; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Figure 2

Temperature effects on the adsorption removal of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 1 mmol/L; pH: 6; Time: 6 h; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Close modal

In spite of competitive adsorption existing, temperature significantly increased the removal of Cu2+ and Pb2+ (all values < 0.05). However, competitive adsorption changed the temperature effects on the adsorption removal of Cd2+ and Zn2+. Positive temperature effects on Cd2+ or Zn2+ adsorption turned out to be weaker with more coexisting competitive heavy metal ion species. The increase in the adsorption removal of both ions with temperature increased, but was not statistically significant (all P-values >0.05) in ternary and quaternary systems. Even in binary systems, the temperature effect was not significant (P-value = 0.57) for Cd2+ between 30 °C and 40 °C (P-value = 0.57) in the Cd2+ and Zn2+ system. For Zn2+, the temperature effect was not significant between 20 °C and 30 °C (P-value = 0.44) in the Cu2+ and Zn2+ system, between 20 °C and 30 °C (P-value = 0.08) and between 30 °C and 40 °C (P-value = 0.29) in the Pb2+ and Zn2+ system, and between 30 °C and 40 °C (P-value = 0.28) in the Cd2+ and Zn2+ system. The results implied that, although the adsorption removal of the heavy metal ions by PAC-APAM WTRs increased with temperature increase, the temperature effects in the competitive adsorption systems became non-significant for the metal ions with relatively lower adsorption removal in mono-component systems.

Adsorption isotherms

Overall, qe,i sharply increased with the increase in Ce,i in the lower range of Ce,i and the increase rate tended to be zero in the higher range of Ce,i (Figure 3). The non-linear Langmuir model with higher R2 fitted the data of adsorption isotherm studies better than the non-linear Freundlich in the mono-component systems as well as in multi-component systems for heavy metal ions onto PAC-APAM WTRs (Table 1). This indicated that the adsorption happened primarily in the form of monolayer adsorption. The analysis of the selectivity ratio (SR) (Table 2), that is the ratio of maximum adsorption capacity of one heavy metal ionic species to the other, confirmed that the selectivity of heavy metal ions onto the adsorbent in binary and quaternary systems displayed similar patterns as in mono-component systems in the order of Cu2+>Pb2+>Cd2+>Zn2+ (Table 1). The SR values in mono-component systems can be used to qualitatively predict the selectivity in multi-component systems except in the Pb2+, Cd2+, and Zn2+ system where the SR value of Pb2+ to Cd2+ of 0.874, which was less than 1 and was not consistent with the SR >1 in other competitive adsorption systems. Additionally, the SR value of Pb2+ to Cd2+ was 1.532 and 1.348 in the mono-component and binary systems, respectively, whereas it was 1.046 in the Cu2+, Pb2+, and Cd2+ system and 1.042 in the quaternary system (Table 2), meaning that Pb2+ and Cd2+ had approximately equal selectivity in both systems.
Table 1

The parameters of the isotherm models for heavy metal ions in different competitive adsorption systems

Mono-component systems
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
 qm,i, mmol/g 1.413 1.195 0.780 0.365   
Langmuir b, L/mmol 11.134 12.374 17.390 29.005   
 R2 0.9806 0.9880 0.9898 0.9868   
 KF, (mmol/g)(L/mmol)1/n 1.349 1.121 0.723 0.348   
Freundlich 3.721 4.191 6.576 15.936   
 R2 0.9529 0.9442 0.8489 0.9479   
Binary systems
 Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
 qm,i, mmol/g 0.992 0.724 1.022 0.693 1.354 0.288 
Langmuir b, L/mmol 4.513 21.980 4.767 5.434 10.743 2.074 
 R2 0.9794 0.9657 0.9865 0.9953 0.9865 0.9834 
 Qmix/Qmono 0.702 0.606 0.723 0.888 0.958 0.789 
 KF, (mmol/g)(L/mmol)1/n 0.786 0.683 0.823 0.563 1.276 0.186 
Freundlich 3.391 6.880 3.308 4.151 3.769 3.048 
 R2 0.8887 0.9323 0.9523 0.9182 0.9520 0.9187 
 Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
 Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
 qm,i, mmol/g 0.995 0.738 1.055 0.262 0.740 0.328 
Langmuir b, L/mmol 12.293 4.410 17.549 1.875 8.907 3.821 
 R2 0.9946 0.9982 0.9868 0.9981 0.9916 0.9994 
 Qmix/Qmono 0.833 0.946 0.883 0.718 0.949 0.899 
 KF, (mmol/g)(L/mmol)1/n 0.914 0.578 1.006 0.164 0.647 0.250 
Freundlich 4.684 3.663 4.995 2.882 4.809 4.207 
 R2 0.9334 0.9354 0.9360 0.9676 0.9594 0.9540 
Ternary systems
 Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
 qm,i, mmol/g 0.885 0.712 0.681 0.931 0.741 0.198 
Langmuir b, L/mmol 5.366 11.644 4.770 5.811 17.606 1.825 
 R2 0.9980 0.9860 0.9739 0.9792 0.9902 0.9938 
 Qmix/Qmono 0.626 0.596 0.873 0.659 0.620 0.542 
 KF, (mmol/g)(L/mmol)1/n 0.722 0.639 0.541 0.769 0.689 0.123 
Freundlich 3.723 5.530 4.025 3.907 6.505 2.877 
 R2 0.9294 0.9431 0.8666 0.8639 0.9050 0.9918 
 Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
 qm,i, mmol/g 0.998 0.692 0.221 0.911 0.680 0.201 
Langmuir b, L/mmol 6.845 5.128 2.550 19.452 5.048 2.440 
 R2 0.9722 0.9758 0.9970 0.9935 0.9825 0.9956 
 Qmix/Qmono 0.706 0.887 0.605 0.762 0.872 0.551 
 KF, (mmol/g)(L/mmol)1/n 0.856 0.556 0.153 0.862 0.545 0.137 
Freundlich 3.752 4.128 3.505 5.737 4.108 3.409 
 R2 0.9525 0.8715 0.9491 0.9226 0.8831 0.9691 
Quaternary system
 Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+   
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
 qm,i, mmol/g 0.868 0.693 0.665 0.177   
Langmuir b, L/mmol 4.474 8.665 4.914 1.477   
 R2 0.9854 0.9998 0.9750 0.9944   
 Qmix/Qmono 0.614 0.580 0.853 0.485   
 KF, (mmol/g)(L/mmol)1/n 0.683 0.602 0.530 0.102   
Freundlich 3.557 5.074 4.086 2.602   
 R2 0.8926 0.9274 0.8771 0.9879   
Mono-component systems
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
 qm,i, mmol/g 1.413 1.195 0.780 0.365   
Langmuir b, L/mmol 11.134 12.374 17.390 29.005   
 R2 0.9806 0.9880 0.9898 0.9868   
 KF, (mmol/g)(L/mmol)1/n 1.349 1.121 0.723 0.348   
Freundlich 3.721 4.191 6.576 15.936   
 R2 0.9529 0.9442 0.8489 0.9479   
Binary systems
 Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
 qm,i, mmol/g 0.992 0.724 1.022 0.693 1.354 0.288 
Langmuir b, L/mmol 4.513 21.980 4.767 5.434 10.743 2.074 
 R2 0.9794 0.9657 0.9865 0.9953 0.9865 0.9834 
 Qmix/Qmono 0.702 0.606 0.723 0.888 0.958 0.789 
 KF, (mmol/g)(L/mmol)1/n 0.786 0.683 0.823 0.563 1.276 0.186 
Freundlich 3.391 6.880 3.308 4.151 3.769 3.048 
 R2 0.8887 0.9323 0.9523 0.9182 0.9520 0.9187 
 Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
 Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
 qm,i, mmol/g 0.995 0.738 1.055 0.262 0.740 0.328 
Langmuir b, L/mmol 12.293 4.410 17.549 1.875 8.907 3.821 
 R2 0.9946 0.9982 0.9868 0.9981 0.9916 0.9994 
 Qmix/Qmono 0.833 0.946 0.883 0.718 0.949 0.899 
 KF, (mmol/g)(L/mmol)1/n 0.914 0.578 1.006 0.164 0.647 0.250 
Freundlich 4.684 3.663 4.995 2.882 4.809 4.207 
 R2 0.9334 0.9354 0.9360 0.9676 0.9594 0.9540 
Ternary systems
 Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
 qm,i, mmol/g 0.885 0.712 0.681 0.931 0.741 0.198 
Langmuir b, L/mmol 5.366 11.644 4.770 5.811 17.606 1.825 
 R2 0.9980 0.9860 0.9739 0.9792 0.9902 0.9938 
 Qmix/Qmono 0.626 0.596 0.873 0.659 0.620 0.542 
 KF, (mmol/g)(L/mmol)1/n 0.722 0.639 0.541 0.769 0.689 0.123 
Freundlich 3.723 5.530 4.025 3.907 6.505 2.877 
 R2 0.9294 0.9431 0.8666 0.8639 0.9050 0.9918 
 Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
 qm,i, mmol/g 0.998 0.692 0.221 0.911 0.680 0.201 
Langmuir b, L/mmol 6.845 5.128 2.550 19.452 5.048 2.440 
 R2 0.9722 0.9758 0.9970 0.9935 0.9825 0.9956 
 Qmix/Qmono 0.706 0.887 0.605 0.762 0.872 0.551 
 KF, (mmol/g)(L/mmol)1/n 0.856 0.556 0.153 0.862 0.545 0.137 
Freundlich 3.752 4.128 3.505 5.737 4.108 3.409 
 R2 0.9525 0.8715 0.9491 0.9226 0.8831 0.9691 
Quaternary system
 Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+   
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
 qm,i, mmol/g 0.868 0.693 0.665 0.177   
Langmuir b, L/mmol 4.474 8.665 4.914 1.477   
 R2 0.9854 0.9998 0.9750 0.9944   
 Qmix/Qmono 0.614 0.580 0.853 0.485   
 KF, (mmol/g)(L/mmol)1/n 0.683 0.602 0.530 0.102   
Freundlich 3.557 5.074 4.086 2.602   
 R2 0.8926 0.9274 0.8771 0.9879   
Table 2

The analysis of the selectivity ratio (SR)

Selectivity ratio (SR)Cu : PbCu : CdCu : ZnPb : CdPb : ZnCd : Zn
Mono-component system 1.182 1.812 3.871 1.532 3.274 2.137 
Binary system Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
1.370 1.475 4.701 1.348 4.027 2.256 
Ternary system Cu2+, Pb2+, and Cd2+ 
1.243 1.300  1.046   
Cu2+, Pb2+, and Zn2+ 
1.256  4.702  3.742  
Cu2+, Cd2+, and Zn2+ 
 1.442 4.516   3.131 
Pb2+, Cd2+, and Zn2+ 
   0.874 1.384 3.383 
Quaternary system Cu2+, Pb2+, Cd2+, and Zn2+ 
1.253 1.305 4.904 1.042 3.915 3.757 
Selectivity ratio (SR)Cu : PbCu : CdCu : ZnPb : CdPb : ZnCd : Zn
Mono-component system 1.182 1.812 3.871 1.532 3.274 2.137 
Binary system Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
1.370 1.475 4.701 1.348 4.027 2.256 
Ternary system Cu2+, Pb2+, and Cd2+ 
1.243 1.300  1.046   
Cu2+, Pb2+, and Zn2+ 
1.256  4.702  3.742  
Cu2+, Cd2+, and Zn2+ 
 1.442 4.516   3.131 
Pb2+, Cd2+, and Zn2+ 
   0.874 1.384 3.383 
Quaternary system Cu2+, Pb2+, Cd2+, and Zn2+ 
1.253 1.305 4.904 1.042 3.915 3.757 
Figure 3

Adsorption isotherms of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 0.5, 1, 1.5, 2, and 2.5 mmol/L; pH: 6; Temperature: 30 °C; time: 6 h, and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Figure 3

Adsorption isotherms of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 0.5, 1, 1.5, 2, and 2.5 mmol/L; pH: 6; Temperature: 30 °C; time: 6 h, and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Close modal

In this study, Qmix is defined as the maximum adsorption capacity of a heavy metal ionic species onto the PAC-APAM WTRs in a multi-component system, while Qmono is the maximum adsorption capacity of the same ion in a mono-component system. The ratio of Qmix to Qmono is widely used to evaluate the effects of competitive adsorption of heavy metal ions (Neris et al. 2019). Both Qmix and Qmono were obtained by curve fitting data into the Langmuir model in the corresponding systems (Table 1). Results showed that all ratios of Qmix to Qmono were smaller than one (Table 1) indicating that the presence of other heavy metal ions decreased the adsorption of a heavy metal ionic species and had destructive effects (Neris et al. 2019). The reduction in adsorption was different with the difference of the coexisting ion or ions (Table 1). For example, Qmix/Qmono of Cu2+ was 0.702 and 0.723 in the Cu2+ and Pb2+ system and Cu2+ and Cd2+ system, while it was 0.958 in the Cu2+ and Zn2+ system. It showed that the adsorption reduction of Zn2+ on Cu2+ in the binary system was less than Pb2+ and Cd2+.

As mentioned above, the competitive adsorption in different multi-component systems was primarily monolayer adsorption. Therefore, the ML model was employed to further evaluate the unequal competition (Neris et al. 2019). The η values of Cu2+ were always smaller than the other metals no matter which competitive systems was used (Table 3), meaning that Cu2+ had greater affinity with the active sites on PAC-APAM WTRs. The higher η values of Zn2+ in various adsorption systems indicated that the affinity of Zn2+ with the active sites on the adsorbent was weaker than others. The higher η values of Pb2+ than Cd2+ showed the greater affinity of Pb2+ with active sites than Cd2+.

Table 3

The results of fitting experimental data into the modified Langmuir model

Binary system
Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
ηi 1.3984 1.5516 0.5688 1.0567 0.3798 10.6659 
R2 0.9439 0.9438 0.9789 
Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
ηi 0.2111 0.6201 0.1699 3.3266 0.5631 3.6889 
R2 0.8982 0.9836 0.9214 
Ternary systems
Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
ηi 0.2002 0.2303 0.4418 0.9394 0.9995 98.0001 
R2  0.9562  0.9812 
Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
ηi 0.2338 0.4933 98.9581 0.1002 0.2962 98.6629 
R2  0.9721  0.9666 
Quaternary system
Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+   
Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
ηi 0.1 0.1168 0.1901 99.2129   
R2  0.9773   
Binary system
Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
ηi 1.3984 1.5516 0.5688 1.0567 0.3798 10.6659 
R2 0.9439 0.9438 0.9789 
Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
ηi 0.2111 0.6201 0.1699 3.3266 0.5631 3.6889 
R2 0.8982 0.9836 0.9214 
Ternary systems
Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
ηi 0.2002 0.2303 0.4418 0.9394 0.9995 98.0001 
R2  0.9562  0.9812 
Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
ηi 0.2338 0.4933 98.9581 0.1002 0.2962 98.6629 
R2  0.9721  0.9666 
Quaternary system
Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+   
Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
ηi 0.1 0.1168 0.1901 99.2129   
R2  0.9773   

Both ionic radius and Pauling's electronegativity of metal ions are often used to explain and even predict the competitive adsorption behaviors of various heavy metal ions (Neris et al. 2019). Generally, the metal ion with a higher ionic radius or higher electronegativity has higher affinity with active sites than others (Neris et al. 2019). The affinity order of the four heavy metal ionic species with active sites on PAC-APAM WTRs in this study should have been Pb2+ (1.19 Å)>Cd2+ (0.97 Å)>Zn2+ (0.83 Å)>Cu2+ (0.73 Å) (Neris et al. 2019) when only the ionic radius is considered. The order would be Pb2+ (2.33)>Cu2+ (1.95)>Cd2+ (1.69)>Zn2+ (1.63) (Neris et al. 2019) if only electronegativity is considered. However, the affinity order found in this study was Cu2+>Pb2+>Cd2+>Zn2+. This difference in order can be attributed to the comprehensive effects of the physicochemical characteristics of metal ions in the aqueous solutions (Neris et al. 2019), interactions of different metal species, and the complicated chemical processes simultaneously caused by various functional groups existing in PAC-APAM WTRs including O-H groups, carboxyl groups, and Fe(Al)-O groups (Duan & Fedler 2021c).

Adsorption kinetic

The kinetic studies were performed by curve-fitting data into pseudo-first-order and pseudo-second-order models and the resulting model parameters are provided in Table 4. The results showed that the adsorption of the four tested heavy metal ionic species onto PAC-APAM WTRs in mono-component systems and multi-component systems could be regarded as following a pseudo-second-order process. This is based on the comparison of the coefficients of determination (R2) of the two kinetic models (Table 4) for the same metal ion in the same adsorption system. Higher R2 means better consistency between the experimental values and the model predicted values of qt (Liu & Lian 2019).

Table 4

The parameters of the kinetic models for heavy metal ions in different competitive adsorption systems (C0,i = 2 mmol/L; pH: 6; temperature: 30 °C; time: 0.25, 0.50, 1.00, 1.50, 2.00, 4.00, and 6.00 h; and PAC-APAM WTRs dosage: 1.0 g/L)

Mono-component systems
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
Pseudo first order qe, mmol/g 1.245 1.070 0.692 0.333   
k1, 1/h 6.504 4.505 3.935 3.043   
R2 0.808 0.821 0.858 0.873   
Pseudo second order qe, mmol/g 1.296 1.142 0.744 0.364   
k2, g/mmol/h 11.416 6.852 8.723 12.402   
R2 0.9890 0.9846 0.9897 0.9863   
Binary systems
 Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.758 0.682 0.834 0.577 1.198 0.213 
k1, 1/h 2.963 1.921 3.968 2.285 5.466 1.738 
R2 0.8807 0.9783 0.9378 0.9581 0.8931 0.9525 
Pseudo second order qe,i, mmol/g 0.835 0.766 0.892 0.642 1.255 0.241 
k2, g/mmol/h 5.098 3.378 7.608 4.973 9.063 9.561 
R2 0.9824 0.9940 0.9941 0.9975 0.9833 0.9946 
 Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
 Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.899 0.606 0.979 0.190 0.670 0.271 
k1, 1/h 2.744 2.770 3.531 1.504 3.091 2.597 
R2 0.9089 0.9097 0.9375 0.9571 0.9650 0.9025 
Pseudo second order qe,i, mmol/g 0.988 0.666 1.058 0.216 0.729 0.299 
k2, g/mmol/h 4.104 6.139 5.312 9.035 6.586 12.540 
R2 0.9858 0.9917 0.9962 0.9904 0.9866 0.9895 
Ternary systems
 Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.714 0.635 0.569 0.778 0.666 0.149 
k1, 1/h 2.505 2.685 1.369 3.762 3.395 1.169 
R2 0.9572 0.9595 0.9848 0.9284 0.9062 0.9891 
Pseudo second order qe,i, mmol/g 0.788 0.699 0.659 0.836 0.722 0.174 
k2, g/mmol/h 4.613 5.605 2.509 7.474 7.371 8.039 
R2 0.9918 0.9966 0.9941 0.9938 0.9959 0.9934 
 Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.841 0.582 0.175 0.833 0.567 0.158 
k1, 1/h 4.125 2.500 1.490 2.876 1.654 1.313 
R2 0.8385 0.9234 0.9666 0.9157 0.9659 0.9875 
Pseudo second order qe,i, mmol/g 0.901 0.641 0.200 0.913 0.643 0.182 
k2, g/mmol/h 7.712 5.686 9.564 4.694 3.388 8.862 
R2 0.9838 0.9851 0.9932 0.9932 0.9911 0.9951 
Quaternary systems
 Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
Pseudo first order qe,i, mmol/g 0.704 0.615 0.532 0.129   
k1, 1/h 1.482 1.485 1.975 1.062   
R2 0.9509 0.9513 0.9474 0.9911   
Pseudo second order qe,i, mmol/g 0.804 0.701 0.601 0.153   
k2, g/mmol/h 2.379 2.771 4.312 7.939   
R2 0.9955 0.9916 0.9950 0.9978   
Mono-component systems
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
Pseudo first order qe, mmol/g 1.245 1.070 0.692 0.333   
k1, 1/h 6.504 4.505 3.935 3.043   
R2 0.808 0.821 0.858 0.873   
Pseudo second order qe, mmol/g 1.296 1.142 0.744 0.364   
k2, g/mmol/h 11.416 6.852 8.723 12.402   
R2 0.9890 0.9846 0.9897 0.9863   
Binary systems
 Heavy metal ion composition Cu2+ and Pb2+ Cu2+ and Cd2+ Cu2+ and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cu2+ Cd2+ Cu2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.758 0.682 0.834 0.577 1.198 0.213 
k1, 1/h 2.963 1.921 3.968 2.285 5.466 1.738 
R2 0.8807 0.9783 0.9378 0.9581 0.8931 0.9525 
Pseudo second order qe,i, mmol/g 0.835 0.766 0.892 0.642 1.255 0.241 
k2, g/mmol/h 5.098 3.378 7.608 4.973 9.063 9.561 
R2 0.9824 0.9940 0.9941 0.9975 0.9833 0.9946 
 Heavy metal ion composition Pb2+ and Cd2+ Pb2+ and Zn2+ Cd2+ and Zn2+ 
 Heavy metal ion Pb2+ Cd2+ Pb2+ Zn2+ Cd2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.899 0.606 0.979 0.190 0.670 0.271 
k1, 1/h 2.744 2.770 3.531 1.504 3.091 2.597 
R2 0.9089 0.9097 0.9375 0.9571 0.9650 0.9025 
Pseudo second order qe,i, mmol/g 0.988 0.666 1.058 0.216 0.729 0.299 
k2, g/mmol/h 4.104 6.139 5.312 9.035 6.586 12.540 
R2 0.9858 0.9917 0.9962 0.9904 0.9866 0.9895 
Ternary systems
 Heavy metal ion composition Cu2+, Pb2+, and Cd2+ Cu2+, Pb2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Cu2+ Pb2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.714 0.635 0.569 0.778 0.666 0.149 
k1, 1/h 2.505 2.685 1.369 3.762 3.395 1.169 
R2 0.9572 0.9595 0.9848 0.9284 0.9062 0.9891 
Pseudo second order qe,i, mmol/g 0.788 0.699 0.659 0.836 0.722 0.174 
k2, g/mmol/h 4.613 5.605 2.509 7.474 7.371 8.039 
R2 0.9918 0.9966 0.9941 0.9938 0.9959 0.9934 
 Heavy metal ion composition Cu2+, Cd2+, and Zn2+ Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Cd2+ Zn2+ Pb2+ Cd2+ Zn2+ 
Pseudo first order qe,i, mmol/g 0.841 0.582 0.175 0.833 0.567 0.158 
k1, 1/h 4.125 2.500 1.490 2.876 1.654 1.313 
R2 0.8385 0.9234 0.9666 0.9157 0.9659 0.9875 
Pseudo second order qe,i, mmol/g 0.901 0.641 0.200 0.913 0.643 0.182 
k2, g/mmol/h 7.712 5.686 9.564 4.694 3.388 8.862 
R2 0.9838 0.9851 0.9932 0.9932 0.9911 0.9951 
Quaternary systems
 Heavy metal ion composition Cu2+, Pb2+, Cd2+, and Zn2+ 
 Heavy metal ion Cu2+ Pb2+ Cd2+ Zn2+   
Pseudo first order qe,i, mmol/g 0.704 0.615 0.532 0.129   
k1, 1/h 1.482 1.485 1.975 1.062   
R2 0.9509 0.9513 0.9474 0.9911   
Pseudo second order qe,i, mmol/g 0.804 0.701 0.601 0.153   
k2, g/mmol/h 2.379 2.771 4.312 7.939   
R2 0.9955 0.9916 0.9950 0.9978   

Based on the model results, the adsorption instantaneous rate of each heavy metal ionic species by PAC-APAM WTRs in the mono-component systems and competitive adsorption systems at time t (dqt/dt) can be expressed as Equation (8) by using the differential equation of the pseudo-second-order model (Ezzati 2020). The values of the two constants, k2 and qe were known after curve-fitting for each case. By analyzing Equation (8), it was found that the instantaneous adsorption rates at the initial adsorption phases were higher than those at the following phases since the larger gaps between qe and qt occur at the initial phases or larger concentration gradient. With the gap shrinking, the instantaneous adsorption rate became slower until the adsorption reached equilibrium with dqt/dt equaling zero:
(8)
The kinetic studies and modeling analysis implied that Cu2+, Pb2+, Cd2+, and Zn2+ adsorption onto PAC-APAM WTRs in mono-component and competitive adsorption systems mainly experienced an initial high rate phase of adsorption and subsequent gradually became slower over time throughout the 6-hour testing period (Figure 4). The goodness of fit of the pseudo-second-order model implies that the adsorption behavior could be interpreted as diffusion-based mechanisms (Hubbe et al. 2019; Hubbe 2021). In addition to the step of diffusion- limited processes (Hubbe et al. 2019), the initial fast rate could be attributed to the retention of those heavy metal ions on easily accessible active sites on the surface of the PAC-APAM WTRs while the slow phase may be the results of the presence of low-affinity sites or the sites not readily and immediately accessible on the adsorbent particle surface (Castaldi et al. 2015).
Figure 4

Adsorption kinetics of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 2 mmol/L; pH: 6; Temperature: 30 °C; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Figure 4

Adsorption kinetics of the heavy metal ions onto PAC-APAM WTRs in: (a) Mono-component systems; (b) Binary systems; (c) Ternary systems; and (d) Quaternary system. (C0,i: 2 mmol/L; pH: 6; Temperature: 30 °C; and PAC-APAM WTRs dosage: 1.0 g/L) (Bars: standard deviations).

Close modal

The results showed that the initial average adsorption rate from zero to 0.25 h of a heavy metal ionic species (R0.25) in the mono-component systems (Figure 4(a)) was positively correlated with the maximum adsorption capacity (Table 1). The slopes in Figure 4(a) illustrated that the order of the R0.25 was Cu2+>Pb2+>Cd2+>Zn2+ in the mono-component systems.

The destructive effects of the coexisting heavy metal ion or ions on the adsorption of a heavy metal ionic species caused the decrease of the R0.25 (see slopes in Figure 4(b)–4(d)) in competitive systems compared with the R0.25 in the mono-component systems. The decrease of the R0.25 for each metal ion was caused by the specific coexisting metal ionic species and the number of the coexisting metal ionic species (see slopes in Figure 4(b)–4(d)). One-way ANOVA tests at P-value < 0.05 level showed that the R0.25 of the four types of metal ions in a mono-component system was significantly higher than that in other systems (all P-values < 0.05) and the R0.25 in quaternary system was significantly lower than that in other systems (all P-values < 0.05).

Implication of engineering application in stormwater bioretention systems

In recent years, more acid rain occurred. This acid rain results in stormwater runoff pH decreases, which results in an increase in the mobility and bioavailability of toxic heavy metals in natural systems. Previous studies along with this study showed that PAC-APAM WTRs are effective candidates that can be used as the media within stormwater bioretention systems to reduce or even eliminated the soluble mobile heavy metal ions by adsorption reactions. This study also shows that PAC-APAM WTRs had stronger ability to remove these heavy metal ions by precipitation mechanism under basic conditions than that under acidic conditions. Therefore, using PAC-APAM WTRs in stormwater bioretention systems to control heavy metal pollution in stormwater runoff not only brings environmental benefits but also provides an alternative approach to solving the disposal problem of municipal water treatment-produced wastes.

Although previous studies have shown that PAC-APAM WTRs are cost effective and a low risk adsorbent to be reused in stormwater bioretention systems or for soil remediation for removing soluble heavy metal ions (Duan & Fedler 2021a, 2021c), the knowledge regarding the competitive adsorption removal of soluble heavy metal ions in a multi-metal system is critical to understand their mobility and transport once PAC-APAM WTRs are used in stormwater bioretention systems as a layered filling media. Since Cu2+ and Pb2+ ions have a stronger affinity for the active sites on PAC-APAM WTRs in the multi-component systems, they would be relatively easily removed by adsorption in the PAC-APAM WTRs layer of a stormwater bioretention system with a larger molar amount at pH ≤ 6, hence the leaching of Cu2+ and Pb2+ would be less than the other two heavy metal ionic species. Conversely, Zn2+ with a relatively weaker affinity to adsorption caused by the existence of other heavy metal ions would be more mobile and more readily transport through the stormwater bioretention systems compared to other targeted heavy metal ions in stormwater runoff. This becomes more apparent with the temperature increase because higher temperature can increase the removal of heavy metal ions in various competitive adsorption systems, but the increase of Zn2+ removal by adsorption was not significant as Cu2+ and Pb2+. Additionally, the knowledge obtained in this study combined with the knowledge of solute transport is also crucial to predict the movement and distribution and to assess the potential risks of heavy metal ions in stormwater runoff through the stormwater bioretention systems using PAC-APAM WTRs as a media layer.

This study indicated that PAC-APAM WTRs were an effective adsorbent for the simultaneous adsorption removal of Cu2+, Pb2+, Cd2+, and Zn2+ in mono-component and multi-component systems. The effects of solution pH, temperature, initial concentration, and time on the adsorption removal of four heavy metal ionic species were evaluated in both mono-component and multi-component systems. The adsorption removal increased with the increase in pH and temperature. The maximum adsorption capacity of each metal species decreased to different extents due to the different destructive effects of the coexisting metal ions in the multi-component systems. The Langmuir model fitted the experimental data better than the Freundlich model, implying that adsorption with or without competition was a monolayer adsorption process. The competitive adsorption order from greatest to least was Cu2+>Pb2+>Cd2+>Zn2+ in the multi-component systems. The pseudo-second-order model predicted the kinetic process better in the mono-component and multi-component systems. This implies that the kinetic process could be diffusion limited. The initial average adsorption rate (R0.25) in the multi-component systems was negatively influenced by competitive adsorption that caused a decrease in R0.25. The R0.25 of each heavy metal ionic species was highest in the mono-component system and lowest in the quaternary system. This work implied that Zn2+ in stormwater runoff could be more readily leached out of the bioretention system under the same acidic conditions once PAC-APAM WTRs were used as a media layer to treat frequently occurring soluble heavy metals in stormwater runoff.

This work was supported by Fundamental Research Program of Shanxi Province, China (Grant No. 202103021224082).

All relevant data are included in the paper or its Supplementary Information.

The authors declare there is no conflict.

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