Hongbo Gu*a,
Han Loua,
Dong Linga,
Bo Xiang*a and
Zhanhu Guo*b
aShanghai Key Lab of Chemical Assessment and Sustainability, School of Chemical Science and Engineering, Tongji University, Shanghai 200092, People's Republic of China. E-mail: hongbogu2014@tongji.edu.cn; bxiangbo@tongji.edu.cn; Fax: +86 021 65981097; Tel: +86 021 65983695
bIntegrated Composites Lab (ICL), Department of Chemical & Biomolecular Engineering, University of Tennessee, Knoxville, Tennessee 37966, USA. E-mail: zguo10@utk.edu
First published on 3rd November 2016
In situ grown zerovalent nanoiron/magnetite on sponge-like carbon matrix (nZVI/Fe3O4@C) has been evaluated for the removal of toxic hexavalent chromium (Cr(VI)) from polluted water. This material is synthesized by calcination of the epoxide group-functionalized polystyrene (FPS) as the carbon source under a mixture of 5% hydrogen/argon (v/v) atmosphere. The nZVI/Fe3O4@C demonstrates a unique capability to remove Cr(VI) from polluted water over a wide pH range, and the optimal pH value for Cr(VI) removal is 5.0 at 298 K. In comparison, only Fe3O4@C is formed when the as-received PS is used as the carbon source under the same atmosphere conditions and exhibits a poor Cr(VI) removal performance (the removal percentage is around 50% relative to nZVI/Fe3O4@C). Various factors influencing the Cr(VI) removal efficiency, such as treatment time, initial Cr(VI) concentration and nZVI/Fe3O4@C dosage, have been systematically studied. The Cr(VI) removal mechanism is confirmed by X-ray photoelectron spectroscopy (XPS) and Raman tests. The results illustrate that the Cr(VI) is reduced to Cr(III) by nZVI with the simultaneous adsorption of Cr(III) via C–O–Fe bonds on nZVI/Fe3O4@C. The Cr(VI) removal kinetics is determined to follow pseudo-first-order behavior with calculated pseudo-first-order rate constants of 0.01582, 0.02555 and 0.03264 min−1 at 298, 308 and 318 K, respectively, at a pH of 5.0. The low value of the activation energy (28.621 kJ mol−1) indicates that the Cr(VI) reduction process on nZVI/Fe3O4@C is a fast process. The calculated thermodynamic parameters of this chemical reaction, including negative ΔG0, positive ΔH0 and positive ΔS0, suggest that the Cr(VI) reduction on nZVI/Fe3O4@C is spontaneous and endothermic, and more preferred at higher temperatures. Both the kinetics and thermodynamics show that the nZVI/Fe3O4@C is a promising material for highly fast and efficient removal of Cr(VI) from polluted water.
A variety of technologies have been developed for environmental cleanup and remediation of Cr(VI) from waste or drinking water, such as electrochemical precipitation,8 reverse osmosis,9 ion exchange,10 photocatalytic degradation,11 chemical reduction12,13 and adsorption.14,15 Among all of these methods, chemical reduction is recognized as a common technology toward Cr(VI) removal from wastewater system.16 After reduction, the Cr(VI) is reduced to Cr(III). As documented, Cr(VI) is acutely toxic, highly soluble and mobile in the aqueous environment, whereas Cr(III) is relatively immobile because of its low redox potential (Eh = −0.74 V)17 and has a low water solubility (<10−5 M) over a wide pH range.18 Meanwhile, Cr(III) is an essential nutrient for the proper functioning of living organisms.19 Therefore, the combination of Cr(VI) reduction to Cr(III) and subsequent adsorption of Cr(III) has been demonstrated as an effective way for Cr(VI) removal.20,21
In the last two decades, nanoscale zerovalent iron (nZVI), as an excellent electron donor and reductant, has become one of the most promising and effective materials for Cr(VI) reduction due to its low cost and good environmental compatibility.22 Normally, nZVI has a smaller particle size and a larger specific surface area than microsized and bulk iron,23 which can provide nZVI with more effective subsurface dispersibility and higher reactivity for Cr(VI) reduction.24 However, nZVI is easily agglomerated and oxidized by the presence of water and/or oxygen in conventional conditions, which severely decreases its reactivity and limits its applications for the environmental remediation.25 Recently, porous structure materials, such as kaolinite,26 chitosan,27 pillared clay28 and pumice,22 have been reported to serve as supports to foster the dispersibility and the stability of nZVI nanoparticles for polluted water treatment. Meanwhile, it has also been found that the adding of silica29 and magnetite (Fe3O4)19 could significantly enhance the Cr(VI) reduction rate arising from the improved reactivity for electron transfer reactions. For example, the Cr(VI) reduction rate was increased about 48.6% with the adding of Fe3O4.19 Even though polystyrene (PS) is one of the most applied thermoplastic polymers in industry, new recycling and reuse technology is required to be developed to solve the ecological environmental problems by the disposal, and the difficult degradation of these plastic wastes.30 Therefore, as a new potential reuse technique, could PS serve as a carbon source to form the porous structure for support of nZVI nanoparticles? Could the different PS structures control the formation of nZVI nanoparticles and further control the Cr(VI) removal performance of the materials? While a few studies exist regarding PS controlled growth of nZVI on a porous carbon matrix toward Cr(VI) removal, the thermodynamics of the Cr(VI) reduction process has been rarely reported so far.30
In the present study, the in situ grown nZVI/magnetite on sponge-like carbon matrix (nZVI/Fe3O4@C) has been prepared via a simple annealing method using epoxide group functionalized polystyrene (FPS) as the carbon precursor for Cr(VI) removal from polluted water. The morphology and structure of nZVI/Fe3O4@C are characterized by scanning electron microscopy (SEM), high resolution transmission electron microscopy (HRTEM), X-ray diffraction (XRD), X-ray photoelectron spectroscopy (XPS), and Raman measurements. The Cr(VI) removal behaviors from polluted water by nZVI/Fe3O4@C were studied through different parameters including pH, dose of nZVI/Fe3O4@C and initial Cr(VI) concentration. Meanwhile, the Cr(VI) removal kinetics and thermodynamics by nZVI/Fe3O4@C have been systematically investigated. The Cr(VI) removal mechanism was explored by the XPS and Raman tests. In comparison, as-received PS was also used as a carbon source to prepare magnetic carbon nanocomposites, in which only Fe3O4@C is formed and exhibits a poorer Cr(VI) removal performance compared with nZVI/Fe3O4@C. This work provides a comprehensive understanding of the Cr(VI) reduction process, both from the kinetic and the thermodynamic aspects. This knowledge will facilitate the development of novel and efficient nanocomposites for environmental cleanup.
The Cr(VI) removal percentage (R%) is obtained by using eqn (1):
![]() | (1) |
![]() | (2) |
For the thermodynamic test, FH (1.0 g L−1) was used to treat different initial Cr(VI) concentrations at 6.0, 8.0, 10.0, 15.0, 20.0 and 30.0 mg L−1 and a pH of 5.0 with a treatment time of 30 min at different temperatures from 298 to 318 K. The supernatant was used for residual Cr concentration determination.
Fig. 2A and S3† illustrate the XRD curves from 10 to 70 degrees for UH, FH and FN, respectively. The diffraction peaks of these three materials located at around 30.1, 35.5, 43.2, 53.5, 56.9 and 62.6° correspond to the (2 0 0), (3 1 1), (4 0 0), (4 2 2), (5 1 1) and (4 4 0) crystallographic planes of the spinel phase of Fe3O4 (JCPDS no. 65-3107), respectively. Obviously, in both the UH and FN samples, both the high intensity and the sharp peaks show that Fe3+ from Fe(NO3)3 has been transformed to Fe3O4 at the carbonization temperature of 500 °C. This indicates that there are no other products generated during the process of calcination apart from ferroferric oxide. However, in the FH sample, the reflections at 43.2, 56.9 and 62.6° are not sharp peaks. It is found that the small peaks located around 43.0, 56.7 and 63.2° are attributed to the (1 0 0), (1 0 3) and (1 0 2) crystallographic planes of ZVI,32 which are consisted with the result obtained in HRTEM. Normally, this is typical for amorphous materials and ultrasmall crystalline materials where the diffraction peaks cannot be well resolved.33 Therefore, the small diffraction peaks of ZVI means that the crystalline size of ZVI in FH is very small. The average crystallite size of UH and FH can be quantified from the XRD pattern according to the Scherrer equation:34
β = kλ/D![]() ![]() | (3) |
The TGA profiles shown in Fig. 2B depict the weight loss of UH, FH, PS and FPS within the temperature range from room temperature to 850 °C in an air atmosphere. Normally, the slight mass decrease before 150 °C is attributed to the loss of moisture in the samples. The major weight loss of PS and FPS is from 390 to 450 °C and 300 to 430 °C, respectively, which arises from the large scale thermal degradation of PS chains. However, the decomposition temperature for FH moves to the range of 400 to 550 °C. This result indicates that the functionalization of PS can significantly enhance the thermal stability of nZVI/Fe3O4@C. Moreover, the weight residues of UH and FH are around 81.2 and 69.7%, respectively. This demonstrates that the epoxide FPS can inhibit the degradation of PS chains and prefer to form a carbonaceous structure during the calcination process, resulting in the increased carbon content of FH.
The as-prepared FH and UH were also measured by Raman spectra and the results are shown in Fig. 2C. The D-band peak at around 1344 cm−1, due to the sp3 C–C bond, and the G-band peak at around 1597 cm−1, resulting from the CC bond stretching vibrations,35 are observed in both FH and UH. However, for the FH sample, both the D-band peak and the G-band peak are shifted a little bit to a higher wavenumber (1349 and 1598 cm−1 (not obvious), respectively). Meanwhile, a broad peak located at about 1438 cm−1 appears and is attributed to the bond of C–O–Fe,36 which maybe formed from the epoxide group of FPS with the iron ion of Fe(NO3)3 during annealing.37 This further contributes to the increased carbon content in FH, as observed in TGA measurements.
The specific surface area and pore size distribution of the synthesized FH and UH are obtained by the nitrogen adsorption and desorption isotherms (Fig. 2D). The type-IV adsorption–desorption isotherm curves with the hysteresis loop demonstrate the mesoporous characteristics of UH and FH nanocomposites.38 The BET specific surface area of UH and FH are calculated to be 96 and 119 m2 g−1, respectively. The BJH pore size distribution obtained from the desorption branch is shown in the inset of Fig. 2D. It is seen that the wide pore diameter size distribution of UH ranges from 4 to 13 nm, and the highest pore volume of 0.00277 cm3 g−1 nm−1 corresponds with the pore diameter of 10.55 nm. However, for the FH, the highest pore volume of 0.00399 cm3 g−1 nm−1 corresponds to the pore diameter of 2.47 nm, and the pore size of FH is located at around 2.47 nm with a narrow size distribution. The narrow pore size distribution of FH probably resulted from the homogeneous distribution of iron ions from Fe(NO3)3 in the FPS solution before annealing.
The chemical elemental composition of UH, FH and FN was further investigated via XPS test. Fig. 3A and B and S4† show the deconvolution of the high-resolution Fe2p XPS spectra of UH, FH and FN, respectively. The Fe2p peak from the UH is de-convoluted into four major components with peaks at 709.6, 711.1, 722.7 and 724.2 eV. The peaks at 709.6 and 722.7 eV are attributed to Fe2+, and the peaks at 711.1 and 724.2 eV correspond to Fe3+.39 For the FN sample, Fig. S4,† the peaks at 710.2 and 723.8 eV correspond to Fe2p3/2 and Fe2p1/2, respectively, which correspond to the XPS of Fe3O4. This result is consistent with the XRD result. However, the Fe2p peaks from the FH are located at 707.3, 709.6, 715.2, 720.5, 722.9 and 730.3 eV. The peaks at 707.3 and 720.5 eV are assigned to ZVI,40 and the peaks at 715.2 and 730.3 eV, 709.6 and 722.9 eV are attributed to Fe3+ and Fe2+, respectively. This result confirms the presence of ZVI in FH, which is consistent with HRTEM and XRD results. According to the integral area, the contents of Fe and Fe3O4 are 44.13% and 55.87%, respectively. Based on the TGA result, the contents of Fe and Fe3O4 in FH are calculated to be 30.76% and 38.94%, respectively. Fig. 3C shows the deconvolution of the high-resolution C1s XPS spectra of FH. The C1s peak is de-convoluted into four major components with peaks at 284.7, 285.5, 286.6 and 289.2 eV, which are attributed to C–C, C–O–Fe, C–OH and CO bond, respectively.21,41–43 The presence of C–O–Fe is also observed in the Raman spectrum. Meanwhile, in the XPS quantification result, the carbon content of FH is 10% more than that of UH, which is accordant with the TGA curves.
The magnetization curves of UH and FH at room temperature are depicted in Fig. 3D. It shows that both UH and FH exhibit good magnetic properties. The FH performs saturation magnetization (Ms) of 14 emu g−1 in the measured magnetic field range. This value is enough for the immediate recycling of FH from the Cr(VI) solution by a permanent magnet, as shown in the top inset of Fig. 3D. This is an important factor for the separation of the magnetic nanocomposites after the purification of wastewater.44 However, the magnetization of UH has not reached saturation in the measured magnetic field range. Therefore, the Ms of UH is estimated from the extrapolated Ms obtained from the intercept of M–H−1 at a high magnetic field.45 The obtained Ms value of UH is 80 emu g−1, which is much higher than that of FH. The bottom inset of Fig. 3D shows that both FH and UH have a similar coercivity value of around 240 Oe, which indicates that both of these two nanocomposites are hard materials.34
Based on the above analysis, the results show that nZVI/Fe3O4@C can be obtained in the presence of both of FPS and hydrogen/argon. In the existence of as-received PS or in the nitrogen atmosphere, only the Fe3O4@C microstructure is formed. The formed products in the different conditions are shown in Scheme 1 in order to further understand the Cr(VI) removal performance differences of these samples.
Fig. 4B illustrates the Cr(VI) removal percentage from the solutions with an initial Cr(VI) concentration of 5.7 mg L−1 and the pH values ranging from 1.0 to 11.0 after 5 min treatment with 1.0 g L−1 of FH and UH at room temperature, respectively. The Cr(VI) removal percentages by FH and UH are observed to be strongly dependent on the pH values of the solution. Normally, the pH-dependent heavy metal removal performance is associated with both the metal chemistry in the solution and the type of treatment material.46 For UH, the removal percentage first increases and then declines with increasing the solution pH. The highest removal percentage is obtained to be 60.18% at pH = 3.0. In comparison, FH exhibits a higher Cr(VI) removal percentage than the UH at each pH value within the whole measured pH range. As for FH, the removal percentage is from 10.38% for pH = 1.0 solution to 68.37% for pH = 2.0 solution and continuously increases to 88.51% and 90.52% for pH = 3.0 and 5.0 solutions, respectively. However, the removal percentage gradually decreases with further increasing the solution pH. The Cr(VI) removal percentages for pH = 7.0, 9.0 and 11.0 are 89.32, 82.67 and 68.93%, respectively. It is clear to see that the synthesized FH shows a unique Cr(VI) removal performance over a wide pH range.
Since the ICP-OES test cannot provide the chemical valence state of elements in the solution, the Cr(VI) concentrations remained in the same solutions with different pH values after treatment with FH were also measured by a colorimetric method,47 in which only Cr(VI) could be detected. The obtained results are listed in Table S1.† Only a small difference in Cr concentrations between ICP-OES and colorimetric method is found, indicating that the Cr concentrations measured by ICP-OES are dominated by Cr(VI) in this study.
As documented, the most important forms of Cr(VI) in aqueous solution are chromate (CrO42−), dichromate (Cr2O72−) and hydrogen chromate (HCrO4− and H2CrO4), and these ion forms are related to the solution pH and the total Cr concentration.47 HCrO4− is the dominant form when the pH is lower than 6.8, while CrO42− and Cr2O72− are stable when the pH is above 6.8.48 However, FH has an isoelectric point at around pH of 3.2 as depicted in Fig. S5,† which means the surface of FH is negatively charged at around pH of 5.0. According to the electrostatic interaction, a strong electrical repulsion force exists between FH and HCrO4−. Therefore, Cr(VI) removal by FH at the optimal pH of 5.0 is not because of electrostatic attraction.
In order to understand the Cr(VI) removal mechanism in different pH solutions, Raman and XPS measurements were performed. High resolution XPS was used to confirm the Cr element chemical state. Generally, for the high resolution XPS spectrum of Cr2p, the binding energy peaks at 577.0–578.0 eV and 586.0–588.0 eV correspond to Cr(III), and the binding energy peaks for Cr(VI) are at around 580.0–580.5 eV and 589.0–590.0 eV.49 Fig. 4C shows the Cr2p XPS spectra of FH treated with 20.0 mL of pH = 5.0 solution with an initial Cr(VI) concentration of 10.0 mg L−1 for 5 min at room temperature. After de-convolution, the binding energy peaks of Cr are located at 576.8 and 587.1 eV, indicating that the Cr adsorbed on the surface of the FH is in the form of Cr(III). The former peak arises from the Cr2p3/2 orbital and the latter from the Cr2p1/2 orbital.50 No Cr(VI) binding energy peaks were detected in the high resolution Cr2p XPS spectrum, indicating that the Cr(VI) removal mechanism by FH is due to a redox reaction in which the Cr(VI) has been reduced to Cr(III). Comparing the results from ICP-OES and the aforementioned colorimetric method, most of the remaining Cr after treatment is Cr(VI), which illustrates that the obtained Cr(III) after reduction is simultaneously adsorbed onto the FH. The EDS mapping image in Fig. S6E† shows the adsorbed Cr(III) distribution within FH. As shown in Fig. S7,† the Fe2p spectrum of the Cr(III)-adsorbed FH is de-convoluted into four major components with peaks at 710.1, 722.9, 711.5 and 724.9 eV, which are attributed to Fe2+ and Fe3+, respectively,51 without the binding energy peak of ZVI. This result indicates that nZVI has been oxidized to a higher chemical valence with the reduction of Cr(VI). Fig. 4D shows the Raman spectra of FH before and after treatment of Cr(VI). The peak for the C–O–Fe bond of FH has disappeared after removal of Cr(VI). The D-band peak of 1349 cm−1 and the G-band peak at around 1598 cm−1 have shifted to 1342 and 1589 cm−1, respectively. This phenomenon demonstrates that there is an interaction between the C–O–Fe bond of FH and the adsorbed Cr(III). Normally, the bond of C–O–Fe in FH is an electron-donating functional group, which is favorable to combine with the positively charged Cr(III) with a vacant orbital.52
Based on the aforementioned analysis, the Cr(VI) removal mechanism by the FH is schematically shown in Scheme 2. Normally, the ZVI is the direct electron donor for Cr(VI) reduction.53 The redox reaction occurs at the interface between the FH and the Cr(VI) species, and the Cr(VI) is reduced to Cr(III). Then, Cr(III) can be coordinated with C–O–Fe groups, leading to the simultaneous adsorption of Cr(III) on the surface of FH.48 The iron ion concentration in the solution with different pH values was detected via ICP-OES after treatment with FH and the results are shown in Table S2.† Increased Fe ion concentration in the pH = 1.0 solution was found (there was no Fe ion present before treatment), which means that there is a part of nZVI dissolved in the pH = 1.0 solution. Since the Cr(VI) removal by FH is mainly due to the presence of nZVI (as confirmed above), this explains the low removal percentage of Cr(VI) (10.38%) obtained in the pH = 1.0 solution.
The effect of the initial Cr(VI) concentration on the Cr(VI) removal percentage and removal capacity was investigated in the Cr(VI) solution with pH of 5.0 after treatment with FH for 5 min (Fig. 5A). The synthesized FH, with a dose of 1.0 g L−1, was able to treat a 20.0 mL Cr(VI) solution in the concentration range of 1.0–3.0 mg L−1 at 100% Cr(VI) removal. With increasing the initial Cr(VI) concentration, the Cr(VI) removal percentage decreased sharply with increasing initial Cr(VI) concentration from 3.0 to 10.0 mg L−1, and then decreased slightly with further higher initial Cr(VI) concentrations. In contrast, the Cr(VI) removal capacity increased from 1.00 to 7.78 mg g−1 (the normalized Cr(VI) removal capacity to nZVI is from 3.25 mg g−1 to 25.29 mg g−1) for solutions with an initial Cr(VI) concentration changing from 1.0 to 16.0 mg L−1, and then decreased to 7.66 mg g−1 (the normalized Cr(VI) removal capacity to nZVI is 24.90 mg g−1) for solutions with an initial Cr(VI) concentration of 18.0 mg L−1, which was due to the limited number of FH active sites for Cr(VI) reduction in the solutions with high Cr(VI) concentration.52
Fig. 5B depicts the Cr(VI) removal percentage and removal capacity with different FH doses in a 20.0 mL of solution with initial Cr(VI) concentration of 10.5 mg L−1 and pH of 5.0 after 5 min treatment at room temperature. The Cr(VI) removal percentage increased with increasing FH doses from 25.45% for a FH dose of 0.5 g L−1 to 100% for a FH dose of 2.5 g L−1 due to the increased number of FH active sites for reduction of Cr(VI). However, the Cr(VI) removal capacity firstly increased from 4.98 mg g−1 for a FH dose of 0.5 g L−1 to 5.86 mg g−1 with a FH dose of 1.5 g L−1, and then the Cr(VI) removal capacity declined gradually from 5.86 mg g−1 for a FH dose of 1.5 g L−1 to 4.17 mg g−1 with a FH dose of 2.5 g L−1. At a low FH dose, the reduction of FH active sites was well occupied by the Cr(VI), leading to an increase in the removal capacity. However, since the concentration of Cr(VI) in the aqueous solution was fixed, as the Cr(VI) in the aqueous solutions was reduced and the obtained Cr(III) simultaneously adsorbed on the FH, the number of the unsaturated sites grew, which would lead to a decrease in the removal capacity.
The representative kinetics (i.e. reduction rate of Cr(VI) by the FH) in the pH = 5.0 Cr(VI) solution is obtained, Fig. 6B. For the FH system, the reduction of Cr(VI) and the oxidation of Fe can be described by eqn (4).
Cr(VI) (aq) + H+ (aq) + Fe (s) → Cr(III) (aq) + Fe2+(II) + H2O (l) | (4) |
From eqn (4), the reaction rate is related to these different species: Cr(VI), H+ and Fe. Accordingly, for the chemical reaction, the rate equation is mathematically expressed as eqn (5):
![]() | (5) |
![]() | (6) |
The kinetics in the Cr(VI) solutions with T = 308 and 318 K were also investigated to study the temperature effect on the reduction rate constant and the results are illustrated in Fig. 6C and D. It is observed that both reactions at these temperatures obey the pseudo-first-order kinetic behavior with a correlation coefficient R2 of 0.97782 and 0.98549 for T = 308 and 318 K, respectively. The typical values of the pseudo-first-order rate constants obtained from the slope are 0.02555 and 0.03264 min−1 for solutions at T = 308 and 318 K, respectively. The rate constants at three different temperatures obey the following decreasing relationship: k′318 > k′308 > k′298, which demonstrates that temperature can foster the Cr(VI) reduction process on FH. According to Arrhenius formula:
![]() | (7) |
The activation energy E and pre-exponential factor A were obtained from the slope and the intercept of the linear plot of −lnk vs. 1/T, as depicted in Fig. S8.† The obtained activation energy and pre-exponential factor were 28.621 kJ mol−1 and 1702.1 min−1, respectively. The results are listed in Table 1. Normally, the chemical reaction rate is very fast as the E < 40 kJ mol−1.63 Therefore, the Cr(VI) reduction process on FH is a fast process as determined from E.
T (K) | k′ (min−1) | E (kJ mol−1) | A (min−1) |
---|---|---|---|
298 | 0.01582 | 28.621 | 1702.1 |
308 | 0.02555 | ||
318 | 0.03264 |
2HCrO4− (aq) + 14H+ (aq) + 3Fe (s) → 2Cr3+ (aq) + 3Fe2+ (s) + 8H2O (l) | (8) |
According to eqn (8), Kθ is calculated from eqn (9).
![]() | (9) |
Three parameters, including standard Gibb's free energy change (ΔG0, kJ mol−1), standard enthalpy change (ΔH0, kJ mol−1) and standard entropy change (ΔS0, J mol−1 K−1), are used to describe the thermodynamic process of an chemical reaction.65 These parameters can be calculated by the following eqn (10) and (11):
![]() | (10) |
ΔG0 = −RT![]() ![]() | (11) |
As aforementioned, the Cr(VI) reduction equilibrium was achieved after 30 min treatment. Therefore, 30 min was chosen to make sure the equilibrium was reached for the investigation of Cr(VI) reduction thermodynamics on FH at different temperatures of T = 298, 308 and 318 K in pH 5.0 solution. Based on the experimental results and eqn (9), the calculated average lnKθ at different temperatures is listed in Table 2. ΔG0 at different temperatures were obtained based on the Kθ values from eqn (11) and also depicted in Table 2. The ΔG0 was negative at the measured temperature range. This means that the reduction process of Cr(VI) on FH was thermodynamically feasible and spontaneous.64 Meanwhile, it was observed that the ΔG0 values for different temperatures only have little differences (−169.406, −177.590 and −184.914 kJ mol−1 for 298, 308 and 318 K, respectively). The ΔH0 and ΔS0 were obtained from the slope and the intercept of the linear plot of ln
Kθ vs. 1/T, as depicted in Fig. S9,† and also listed in Table 2. It was shown that the ΔH0 was positive with the value of 61.763 kJ mol−1, which means that the Cr(VI) reduction by FH was an endothermic process.66 This is consistent with the results obtained from the kinetics studies showing that the Cr(VI) reduction rate constant increased with increasing temperature. The positive ΔS0 (776.190 J mol−1 K−1) depicts the increased randomness during the Cr(VI) reduction reaction on FH.67 The combination of positive ΔH0 and ΔS0 with a negative ΔG0 mean that the spontaneous process is more favorable at higher temperatures.68
T (K) | ln![]() |
ΔG0 (kJ mol−1) | ΔH0 (kJ mol−1) | ΔS0 (J mol−1 K−1) |
---|---|---|---|---|
298 | 68.376 | −169.406 | 61.763 | 776.190 |
308 | 69.352 | −177.590 | ||
318 | 69.941 | −184.914 |
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c6ra22709k |
This journal is © The Royal Society of Chemistry 2016 |