Justyna Ulatowska*,
Łukasz Stala,
Natasza Trzęsowska and
Izabela Polowczyk
Department of Process Engineering and Technology of Polymer and Carbon Materials, Faculty of Chemistry, Wroclaw University of Science and Technology, Norwida 4/6, Wroclaw 50–373, Poland. E-mail: justyna.ulatowska@pwr.edu.pl; Tel: +48-713-203-206
First published on 11th September 2023
This study investigated the sorption of Ni(II) ions from an aqueous solution using novel, synthetic amino-hypophosphite polyampholyte resin (AHP) in a batch adsorption system. The removal of Ni(II) ions was determined as a function of pH (2.0–8.0), initial concentration of Ni(II) ions (2.0–20.0 mM), resin dosage (1.0–10.0 g dm−3), contact time (0.04–24 h), and temperature (298–318 K). Moreover, continuous fixed-bed column sorption was also studied using model solutions and actual wastewater from the galvanising plant. The batch sorption experimental data showed that the maximum pH for efficient Ni(II) ion removal was about 5.0. An equilibrium was reached after about 24 hours. The kinetics results were fitted using pseudo-first-order (PFO), pseudo-second-order (PSO), liquid film (LFD), and intraparticle diffusion (IPD) models. Freundlich and Langmuir isotherm models were applied for sorption equilibrium data. The maximum sorption capacity was obtained from the Langmuir equation to be 2.39, 2.52, and 2.62 mmol g−1 at 298, 308, and 318 K, respectively. The thermodynamic parameters for the sorption of Ni(II) ions on AHP imply the endothermic and spontaneous character of the process. The experimental results demonstrated that amino-hypophosphite polyampholyte resin could be used to effectively remove Ni(II) ions from model solutions and real wastewater.
Currently, IUPAC does not provide a strict definition of heavy metals. It is widely accepted that elements included in this group are characterized by high density (lower limit of about 3–6 g cm−3), an atomic number above 20, and high atomic mass.4 The most commonly occurring metals considered members of this group are manganese, chromium, cadmium, copper, and nickel.5 Nickel is the fifth most common element in the Earth's crust by mass. The most significant deposits are located in Canada, Siberia and New Caledonia.6 Furthermore, it is estimated that around 8 billion tons of nickel are dispersed in the seas and oceans.7 In the bound form, nickel predominantly occurs in the second oxidation state.8
Heavy metals are known to have a detrimental impact on living organisms. In lower doses, they are essential for plant growth and development.9 However, as the concentration increases, so does the toxicity. In the long run, exposure to toxic metals can cause serious damage, such as various types of cancer,10,11 multiple sclerosis,9 and Alzheimer's disease.12,13 In the case of nickel, higher doses contribute to diseases of the respiratory tract, kidneys, and cardiovascular system.7 Another important issue is metal-triggered allergic reactions, where nickel is estimated to cause 15% of all cases.14
All of these harmful effects point to the need for heavy metal removal. For water purification, various methods are available, ranging from adsorption, biosorption, ion exchange, and chemical precipitation to membrane techniques (reverse osmosis, electrodialysis, ultra-, and nanofiltration).15,16 This study focuses on ion exchange as a promising technique for Ni(II) ion removal. The most important characteristics of this method are the lack of sludge production,17 fast kinetics,18 metal selectivity,19 and convenient recovery of ion exchangers.20 The materials used in this method should have an open network that allows for ion migration. Zeolites, animal and plant cells,21 acidic salts of multivalent metals,22 and synthetic resins23 are only a few examples from the broad group of ion exchangers.
Ion exchanger and metal scavenger markets are currently dominated by products based on styrene/divinylbenzene copolymers.24,25 These products are functionalised resins bearing aminomethylphosphonic and iminediacetic groups that are known for their metal chelating properties.26 There are commercial products based on siloxane structures that can be used alternatively to crude-oil-based products. Over the years, countless experimental scavenging materials were studied, varying in matrix composition and functional group type. In the last two decades, countless works have been published on novel materials for adsorption and ion exchange (Table S1 in ESI† with references). There is a recent trend of fulfilling green chemistry and sustainability principles in materials production, addressing the importance of circular economy in current technology. There is a very limited amount of papers on metal scavengers with dimethylhypophosphite fragments in their structure. In our previous work,27 we reported that a group of amino-hypophosphite polyampholytes (AHPs) can be used as metal scavengers with high efficiency from Cu(II) containing model wastewater. In that study, batch mode experiments were conducted to reveal the chemistry behind the Cu(II) removal on AHP. This work presents the performance of bis(hexamethylene) triamine-based AHP in Ni(II) removal from wastewater sourced at a local galvanising plant (Wrocław, Poland), both in batch and column modes.
In this study, the removal of Ni(II) ions from aqueous solutions using an amino-hypophosphite polyampholyte (AHP) was investigated. The resin produced was characterised in detail. The main objectives of the research were the following four consecutive steps:
1. kinetic study and understanding of the kinetic mechanism;
2. static study of removal of Ni(II) ions on resin;
3. dynamic study of the column flow removal;
4. treatment of real wastewater.
For these aims, different parameters affecting the sorption process, such as the initial pH of a solution, contact time, resin dosage, temperature and initial Ni(II) ion concentration, were analysed. Finally, the treatment of the model and real wastewater in a fixed bed column was conducted.
The galvanic wastewater was sourced from the local galvanising plant based in Wroclaw (Poland), which specialises in nickel plating and chrome plating. The galvanic bath used in this plant is a Watts type bath, mainly containing nickel(II) sulfate, nickel(II) chloride, and boric acid. The bath solutions were analysed to estimate concentrations of selected components such as nickel(II), iron(II), chromium, and others. The chemical composition of wastewater analysed with the ICP-MS technique is presented in Table 1.
Analysed ion | Concentration (mg dm−3) |
---|---|
Ni | 1024 |
Cr | 1.95 |
Co | 3.10 × 10−3 |
Fe | 0.10 × 10−3 |
(1) |
The reaction was controlled using the 31P NMR spectra until the hypophosphite fragments in the leftover solution were built into the resin's structure. The obtained product was washed with deionised water to rinse out the excess residual substrates or impurities generated in the reaction. The rinsing was continued until the pH of the effluent was no longer strongly acidic. The product was dried in laboratory air drier at 373 K. The polymeric product's formula and molecular weight are (C35H76N6O10P5)n and 894.9 g mol−1, respectively. The reaction yield was over 99%, according to gravimetric analysis.
Fig. 1 Experimental setup for sorption of Ni(II) from aqueous solution: 1 – influent (stock solution of Ni(II): 11 mM); 2 – peristaltic pump; 3 – glass column; 4 – fixed bed (AHP); and 5 – effluent. |
All column measurements were made under the following assumptions: only one component of the flux is retained (in this case, Ni(II) ions); the loss of the adsorbate in time does not change the viscosity and density values of the stream; the process is isothermal (T = 298 K); the stream moves in one direction at a constant speed; measurements are carried out until the Ni(II) ion concentration at the column outlet (ct) is 95% of the concentration entering the column (c0).
The process of removing Ni(II) ions from an aqueous solution was carried out in a five-fold cycle involving 3 purification cycles and 2 fixed bed regeneration cycles. This enabled the effectiveness of the resin regeneration to be tested and reapplied to remove Ni(II) ions from the solution without removing the bed from the column. The bed regeneration process was carried out using a 25 mM HCl solution introduced into the column at a flow rate of 0.019 cm3 s−1. The column was then washed with deionized water at a flow rate of 0.019 cm3 s−1. The washing was continued until pH reached 6. A schematic diagram of the experimental setup for removing Ni(II) ions from an aqueous solution is shown in Fig. 1.
(2) |
The Ni(II) percentage removal was calculated using eqn (3):
(3) |
All formulas for the mathematical kinetic and equilibrium models used are summarised in Table S2 in ESI.†
Fig. 2 Images of synthetic AHP taken with a digital camera (A) and a scanning electron microscope (B). |
Characteristic | Value |
---|---|
a The AHP was tested in this temperature range. There are no data on how the material behaves in temperatures below or above this range. | |
Appearance | Yellow |
Ionic forms (H+ or Na+) | H+ |
Temperature limitations (K) | 298–328a |
Structure | gel |
Matrix | Ampholytic, polycondensate crosslinked by methyl groups |
Functional group | Phosphate groups |
Surface area (m2 g−1) | 0.204 |
Density (g dm−3) | 2570 |
Bulk density (g dm−3) | 770 |
Total exchange capacity for Ni(II) (mmol g−1) | 2.85 |
After the successful synthesis of amino-hypophosphite polyampholyte resin, the XPS analysis confirmed that the obtained materials possess functional groups that should be present in the AHP structure. The obtained XPS spectrum is shown in Fig. 3.
A comparison of the calculated atomic composition from the XPS study with the atomic concentration based on the theoretical structure derived from reaction eqn (1) is summarized in Table 3.
Name (−) | Position (−) | Raw area (a.u.) | Atomic concentration XPS(%) | Atomic concentration calculated (%) |
---|---|---|---|---|
C 1s | 284.6 | 1838.1 | 64.6 | 62.5 |
O 1s | 531.3 | 1475.1 | 17.7 | 17.9 |
N 1s | 399.2 | 395.5 | 9.1 | 10.7 |
P 2p | 132.1 | 292.1 | 8.6 | 8.9 |
The XPS-derived atomic compositions of elements in the amino-hypophosphite polyampholyte match the calculated compositions from the theoretical structure based on the Moedritzer–Irani reaction. The small difference in carbon content in XPS analysis can be explained by the presence of terminal methyl groups that can be produced in excess of formaldehyde, which must be used in the reaction for optimal crosslinking of the AHP structure. The FTIR spectra of the obtained amino-hypophosphite polyampholyte was added in ESI as Fig. S1† with signal assignment with references from literature. Fourier-transform Infrared (FTIR) spectrum showed distinctive bands at 3600–3200, 3000–2750, 2400–2150, 1668, 1643, 1467, 1180, 1054, 1026 and 840 cm−1.
Fig. 4 Sorption of Ni(II) onto AHP as a function of time (initial Ni(II) concentration: 20 mM; concentration of resin: 4 mg dm−3; 298 K; pH 5.0). |
Two kinetic models were analysed (pseudo-first order (PFO) and pseudo-second order (PSO)) in order to provide information on the mechanism of Ni(II) removal in the process. The mathematical notation of these equations is given in Table S1.† The slopes and intersection points with the Y-axis of these curves were used to determine the model parameters k1 and k2 and the equilibrium capacity q1 and q2, respectively, for the PFO and PSO models. The calculated value of the equilibrium capacity from the PFO model (q1) was lower than the experimental value (qexp). A better agreement was obtained between the model and experimental values in the PSO kinetic model (q2). As a result, the high value of the Pearson correlation coefficient (R2 > 0.995) and good coherence between the experimental and calculated values of qt show that the PSO model describes accurately the removal of Ni(II) ions in the present study. The calculated parameters of both kinetic models and the R2 are summarized in Table 4.
Models | Parameters | Values |
---|---|---|
qexp (mmol g−1) | 2.65 | |
PFO | k1 (min−1) | 4.23 × 10−3 |
q1 (mmol g−1) | 1.98 | |
R2 (−) | 0.982 | |
PSO | k2 (g mmol−1 min−1) | 8.63 × 10−3 |
q2 (mmol g−1) | 2.69 | |
h (mmol g−1 min−1) | 6.24 × 10−2 | |
R2 (−) | 0.995 |
The mechanism of Ni(II) ion removal on AHP, according to the literature, can proceed in four basic steps:28,29 (1) transport of Ni(II) ions from the bulk solution into the liquid film near the resin surface, (2) diffusion of Ni(II) ions through the liquid film to the resin surface, (3) sorption of Ni(II) onto active sites on the surface, and 4. diffusion of Ni(II) ions through the particle. A fifth step involving chemical reaction is also distinguished in some cases.28 The step that controls the overall process is the slowest stage. Supposing that the concentration of ions removed in the solution is not extremely low, the process rate can be controlled by either diffusion in the liquid layer or intraparticle diffusion. A linear plot of −ln(1 − F) vs. t (where F is the fractional attainment of equilibrium) with a zero intercept suggests that the kinetics of the process is controlled by diffusion in the liquid film.30 Fig. 5 shows that applying the diffusion model in the liquid film to the obtained experimental data does not yield a straight line passing through the origin of the coordinate system. Hence, diffusion in the liquid film is not a rate-determining step in the overall process. Fig. 6 shows the intraparticle diffusion model fit for Ni(II) sorption experiment. The curves display three separate curves with three slopes and intercept values for the AHP indicating three stages of the diffusion disturbance of the process. The first stage is related to the film diffusion, the second stage is a result of intraparticle diffusion influence on the process, and the third stage indicates the saturation stage.31
Fig. 5 Liquid film diffusion model of Ni(II) sorption on AHP (initial Ni(II) concentration: 20 mM; concentration of resin: 4 mg dm−3; 298 K; pH 5.0). |
Fig. 6 Intraparticle diffusion model of Ni(II) sorption on AHP (initial Ni(II) concentration: 20 mM; concentration of resin: 4 mg dm−3; 298 K; pH 5.0). |
The constant rate values determined for each model (diffusion in the liquid film or intraparticle diffusion) suggest which step controls the entire Ni(II) ion removal process on the AHP. The values of the rate constants for each diffusion step are summarized in Table 5. The lowest value is taken by the parameter kIPD3, indicating that the stage controlling the rate of the entire process corresponds to adsorption–desorption in equilibrium.
Models | Parameters | Values |
---|---|---|
LFD | kLFD (min−1) | 4.20 × 10−3 |
IPD | kIPD1 (mmol g−1 min−1) | 4.35 × 10−2 |
kIPD2 (mmol g−1 min−1) | 7.45 × 10−3 | |
kIPD3 (mmol g−1 min−1) | 0.91 × 10−3 |
Fig. 7 Adsorption of Ni(II) onto AHP as a function pH (initial Ni(II) concentration:10 mM; concentration of resin: 4 mg dm−3; 298 K). |
Fig. 8 Effect of AHP concentration of initial Ni(II) concentration on sorption capacity of Ni(III) and removal of Ni(II) (initial Ni(II) concentration: 20 mM; 298 K; pH 5.0). |
Fig. 9 Adsorption isotherms of Ni(II) on AHP (initial Ni(II) concentration: 20 mM; concentration of resin: 4 mg dm−3; 298 K; pH 5.0). |
The obtained results were described by two isotherm models – Langmuir and Freundlich. The parameters of both models were determined using linear regression, and the Pearson correlation coefficient (R2) was used as a criterion of fit. The Freundlich model performs well for adsorption at low concentrations. In contrast, the Langmuir model describes the behaviour of metal ions during ion exchange on resins. In addition, the Langmuir isotherm applies to ion exchange on an all-over homogeneous surface with inappreciable interaction between adsorbed molecules.28 The calculated parameters, along with the R2 value, are summarised in Table 6. The isotherms based on modelling results were added to the ESI as Fig. S2.†
T (K) | Langmuir isotherm | Freundlich isotherm | ||||
---|---|---|---|---|---|---|
qL (mmol g−1) | kL (dm3 mmol−1) | R2 (−) | n (−) | kF ((dm3)1/n mmol(1−1/n) g−1) | R2 (−) | |
298 | 2.39 | 0.371 | 0.960 | 2.05 | 0.679 | 0.995 |
308 | 2.52 | 0.468 | 0.952 | 2.07 | 0.792 | 0.981 |
318 | 2.62 | 0.689 | 0.970 | 2.17 | 0.989 | 0.990 |
The high values of the Pearson correlation coefficient for the isotherm models used (R2 > 0.95) suggest that both models describe the experimental data well. The experimentally obtained sorption capacity of the AHP resin towards Ni(II) ions (approximately 2.5 mmol g−1) is higher than for commercial resins such as Dowex HCR-S,34 Purolite NRW-100 (ref. 35) or Lewatit Monoplus SP112.36 The sorption capacity of these resins ranges from 1.0 to 1.7 mmol g−1.
ΔG0=−RTlnK0 | (4) |
(5) |
T (K) | lnK0 (−) | K0 (−) | Thermodynamic parameters | ||
---|---|---|---|---|---|
ΔG0 (kJ mol−1) | ΔH0 (kJ mol−1) | ΔS0 (kJ mol−1 K−1) | |||
298 | 0.987 | 2.68 | −2.45 | +28.3 | −0.102 |
308 | 1.23 | 3.44 | −3.16 | ||
318 | 1.70 | 5.49 | −4.50 |
The Gibbs energy changes (ΔG0) during the removal of Ni(II) on AHP at 298, 308, 318 K were negative, reveal a spontaneous nature of the process. The metal cations are driven to be bound to the resin more likely due to the higher affinity of Me2+ compared to hydrogen ions. The positive enthalpy change (ΔH0) (+28.3 kJ mol−1) indicates that the process is endothermic. The negative entropy change (ΔS0) (−0.102 kJ mol−1 K−1) suggests that an active complex is formed between Ni(II) ions and AHP during the process, indicating an association mechanism.37 As reported in the literature, Ni(II) ion exchange occurring on various commercial resins (e.g. Lewatit Monoplus 112, Purolite NRW-100 or Dowex HCR-S) is mostly an endothermic process.34–36,38
Fig. 10 Breakthrough curves for sorption of Ni(II) ions on AHP (flow rate of solution: 0.020 cm3 s−1; initial Ni(II) concentration: 11 mM; mass of resin: 1.5 g; 298 K; pH 5.0). |
After each adsorption cycle, the resin was regenerated to test its reusability. Regeneration with 25 mM HCl solution does not significantly affect the adsorption properties of the resin, and the sorption capacity is 0.920, 0.782 and 0.778 mmol g−1 for each cycle (C1, C2 and C3), respectively. After three successive adsorption–desorption cycles, the resin filled column retained about 85% of its original capacity. Furthermore, the high capacity retained after regeneration suggests that Ni(II) ions can be effectively removed without degrading the adsorbent structure. Breakthrough curves of three cycles (C1, C2 and C3) are presented in Fig. 10. The obtained results proved that the AHP resin could successfully remove Ni(II) ions from aqueous solutions in a reusable system.
All sorption experiments carried out were aimed at indicating the applicability of the obtained AHP for the removal of Ni(II) ions from aqueous solutions. The kinetic experiment showed that the process of removing Ni(II) ions on AHP is very long and that equilibrium was reached after 24 hours. It can be observed that the removal efficiency does not increase significantly after 20 hours of exposure to a solution containing Ni(II) ions on AHP. The percentage of removal achieved after 24 hours under these process conditions (initial Ni(II) concentration: 20 mM; resin concentration: 4 mg dm−3; 298 K; pH 5.0) was greater than 50%. Additionally, the calculated values of the rate constant for both the LFD and the IPD models indicate that the slowest stage is the third stage of the intraparticle diffusion assigned to the final stage of the adsorption–desorption equilibrium when diffusion slows down due to the low concentration of Ni(II) ions in solution. Given the moderate time required to reach equilibrium and that the obtained experimental kinetics data were consistent with the PSO model, it can be assumed that there is a chemical interaction between amino-hypophosphite polyampholyte and Ni(II) ions. Based on the results of the kinetic experiment, all batch experiments were conducted for 24 hours to allow a sorption equilibrium to be established in the system under study.
The removal of Ni(II) ions by physical, chemical or ion exchange mechanisms depends directly on the pH of the solution and the properties of the adsorbent. As reported by Cruz-Lopes and co-workers, nickel is a heavy metal whose sorption increases with increasing pH, and the most significant degree of removal is observed just before precipitation occurs.39 The determination of the effect of pH on the removal of Ni(II) ions by AHP confirmed this finding and showed that the optimal pH for the process is 5.0. In an acidic solution, there is more competition between Ni(II) ions and H+ ions for active sites on the AHP scaffolding. Thus, at lower pH (<3.0), the functional groups present in the resin structure bind to H+ to a large extent, adversely affecting the process and resulting in lower sorption. At higher pH, when the H+ concentration is reduced significantly, the less abundant Ni(II) are allowed to be bound to resin's active sites. Therefore, an increase in Ni(II) ion removal in an aqueous solution is observed when the pH increases from 2.0 to 5.0 (Fig. 7). It is worth noting that if the resin is in its proton form it releases H+ ions when the Ni(II) ions are bound to the materials, this causes pH to decrease during the process disrupting the process. This does not apply to sodium form of the resin. On the other hand, a decrease in sorption above pH 6.0 can be caused by precipitation of Ni(OH)2, which ultimately hinders sorption, as the precipitate reduces accessibility to AHP active sites. Therefore, determining the optimal pH that promoted Ni(II) ion removal was crucial for the process to be carried out properly.
As studies have shown, in a batch sorption system, as the temperature increases, the maximum ionic capacity and removal efficiency are higher. Thus, increasing the temperature has a beneficial effect on the removal of Ni(II) ions on AHP. As expected, as the initial concentration of Ni(II) ions in the solution increases, the amount of adsorbed ions increases. The maximum ionic capacity of AHP at 318 K and 20 mM initial concentration of Ni(II) was 2.7 mmol g−1 and was calculated from the Langmuir isotherm. This capacity is high considering the theoretical ionic capacity calculated from the abundance of hydroxyl fragments of hypophosphite groups (2.9 mmol g−1). This indicates that the removal process is partly based on simple ion exchange (the change in solution pH during removal of Ni(II) ions by AHP). However, it can be assumed that the complexation mechanism also contributes significantly to Ni(II) removal on AHP. Chemical interactions between Ni(II) ions and AHP are also confirmed by thermodynamic analysis of the process. The total free energy changes (ΔG0) during the sorption of Ni(II) ions on AHP at all temperatures studied were negative, indicating a spontaneous process of Ni(II) ion removal from solution, and the removed cations are more favourably bound to AHP compared to protons.33 A positive enthalpy change (ΔH0) indicates that the process is endothermic. In contrast, a negative entropy change (ΔS0) value suggests that an active complex is formed between Ni(II) ions and AHP during the process. This indicates an associative mechanism in which the Ni(II) ions are initially attached to the active site and release of the receding ions occurs. As a heavy metal, nickel is prone to associative reactions. Given this information, a mechanism for the removal of Ni(II) ions on AHP can be proposed according to the following scheme:
(6) |
In the final step of investigating the adsorption properties of AHP towards Ni(II) ions, experiments were carried out in a laboratory-scale fixed-bed column. The dry resin introduced into the column (1.5 g) occupied 0.026 m, while when contacted with the solution, it swelled to reach a height of 0.065 m; i.e. the height of the bed in the column was 2.5 times higher than initially. The Ni(II) concentration distribution curves shown in Fig. 10 are typical relationships for the sorption process, where three characteristic zones can be distinguished. The first zone, the moment of the column breakthrough, is when the functional groups on the AHP are saturated with Ni(II) ions from the solution (up to 2 minutes). Then a surge is seen, forming an ion exchange zone and running for up to 20 minutes. A third zone is visible after 20 minutes, when the concentration decay curve flattens out, thereby decreasing the efficiency of the process, and the concentration of Ni(II) ions in the solution leaving the column is about 95% of the initial concentration. The same trend is seen in each cycle. The breakthrough curves are very close to each other, indicating the effective regeneration of the resin with an HCl solution. After three successive adsorption–desorption cycles, the column retained about 85% of its original capacity. Furthermore, the high capacity retained after regeneration suggests that Ni(II) ions can be effectively removed without degrading the adsorbent's structure.
The process parameters obtained from batch and dynamic mode experiments allowed us to conduct a successful recovery of Ni(II) from electroplating effluent. The maximum bed capacity obtained during treatment in the dynamic system of real galvanic wastewater was found to be 0.936 mmol g−1. This value is similar to the capacity obtained during the model wastewater treatment on the AHP. It is also worth noting that the fraction collected from the column regeneration was 7 times more concentrated than the feed. If the experiment had been stopped at the breakthrough point, the concentration factor obtained could have been even higher. This laboratory-scale experiment shows that AHP has great potential to recover Ni(II) and reduce the volume of wastewater containing toxic metal ions.
B | Parameter related to the thickness of the boundary layer (mmol g−1) |
c | Concentration of Ni(II) (mmol dm−3) |
c0 | Initial concentration of Ni(II) (mmol dm−3) |
ce | Equilibrium concentration of Ni(II) (mmol dm−3) |
F | Fractional attainment of equilibrium (−) |
K0 | Equilibrium constant (−) |
k1 | Rate constant of the PFO model (min−1) |
k2 | Rate constant of the PSO model (g mmol−1 min−1) |
kF | Freundlich constant indicative of the relative adsorption capacity of the adsorbent ((dm3)1/n mmol(1−1/n) g−1) |
kIPD | Intraparticle diffusion rate constant (mmol g−1 min−1) |
kL | Langmuir constant related to the energy of adsorption (dm3 mmol−1) |
kLFD | Liquid film diffusion rate constant (min−1) |
m | Mass of AHP (g) |
n | Freundlich equation exponent (−) |
PR | Percentage removal of Ni(II) (%) |
q | Amount of Ni(II) adsorbed (mmol g−1) |
q1 | Adsorption capacity of Ni(II) for PFO model (mmol g−1) |
q2 | Adsorption capacity of Ni(II) for PSO model (mmol g−1) |
qe | Amount of Ni(II) adsorbed at equilibrium (mmol g−1) |
qexp | Amount of adsorbed Ni(II) obtained experimentally (mmol g−1) |
qL | Maximum adsorption capacity in the Langmuir model (mmol g−1) |
qt | Amount of Ni(II) adsorbed at time t (mmol g−1) |
R | Universal gas constant (kJ mol−1 K−1) |
t | Time (min) |
T | Temperature (K) |
V | Solution volume (dm3) |
ΔG0 | Free energy (kJ mol−1) |
ΔH0 | Enthalpy (kJ mol−1) |
ΔS0 | Entropy (kJ mol−1 K−1) |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: https://doi.org/10.1039/d3ra04543a |
This journal is © The Royal Society of Chemistry 2023 |