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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Chem.</journal-id>
<journal-title>Frontiers in Environmental Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Chem.</abbrev-journal-title>
<issn pub-type="epub">2673-4486</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1375705</article-id>
<article-id pub-id-type="doi">10.3389/fenvc.2024.1375705</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Synthesis and characterization of peanut shell-derived ferromagnetic activated carbon: application in the Fenton process for the degradation of methyl orange</article-title>
<alt-title alt-title-type="left-running-head">Ndongmo et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvc.2024.1375705">10.3389/fenvc.2024.1375705</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ndongmo</surname>
<given-names>Josiane Nguimatsia</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mabou</surname>
<given-names>Jules Leuna</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/formal-analysis/"/>
<role content-type="https://credit.niso.org/contributor-roles/methodology/"/>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tchuifon Tchuifon</surname>
<given-names>Donald Raoul</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Makota</surname>
<given-names>Suzanne</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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</contrib>
<contrib contrib-type="author">
<name>
<surname>Fotsop</surname>
<given-names>Cyrille Ghislain</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Conde</surname>
<given-names>Miriame</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/data-curation/"/>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Tchieta</surname>
<given-names>Pierre Gerard</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2632812/overview"/>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Chemistry</institution>, <institution>Faculty of Science</institution>, <institution>University of Douala</institution>, <addr-line>Douala</addr-line>, <country>Cameroon</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Chemistry</institution>, <institution>Research Unit of Noxious Chemistry and Environmental Engineering</institution>, <institution>Faculty of Science</institution>, <institution>University of Dschang</institution>, <addr-line>Dschang</addr-line>, <country>Cameroon</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Process Engineering</institution>, <institution>Laboratory of Energy, Materials, Modeling and Method</institution>, <institution>National Higher Polytechnic School of Douala</institution>, <institution>University of Douala</institution>, <addr-line>Douala</addr-line>, <country>Cameroon</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Institute of Chemistry</institution>, <institution>Faculty of Process and Systems Engineering</institution>, <institution>Universit&#x00E4;t Platz</institution>, <addr-line>Magdeburg</addr-line>, <country>Germany</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2350978/overview">Benton Otieno</ext-link>, Vaal University of Technology, South Africa</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2646313/overview">Stephen Otieno</ext-link>, Maseno University, Kenya</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/981279/overview">Saheed Olalekan Sanni</ext-link>, University of Pretoria, South Africa</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Pierre Gerard Tchieta, <email>pgtchieta@yahoo.fr</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>5</volume>
<elocation-id>1375705</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>01</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Ndongmo, Mabou, Tchuifon Tchuifon, Makota, Fotsop, Conde and Tchieta.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ndongmo, Mabou, Tchuifon Tchuifon, Makota, Fotsop, Conde and Tchieta</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The objective of the current work was to synthesize and characterize ferromagnetic activated carbon from peanut shells (PSs) and apply it for the degradation of methyl orange (MO) following the heterogeneous Fenton process. PSs were activated with phosphoric acid and potassium hydroxide at 1:1, 1:2, and 1:3 solid/liquid activation ratios and different concentrations (0.5, 1, and 1.5&#xa0;M) and pyrolized at 500&#xb0;C. Based on the iodine indexes, KOH-activated carbon adsorbents exhibited higher porosity than the H<sub>3</sub>PO<sub>4</sub>-activated adsorbents. KOH-activated carbon at a 1:3 activation ratio (iodine value 591&#xa0;mg/g) was selected for magnetization using iron (II) ions and catalytic mineralization of MO dye. The ferromagnetic activated carbon (AC-PS@FeII) was characterized using Fourier-transform infrared (FTIR) spectroscopy, X-ray diffraction (XRD), scanning electron microscopy (SEM), energy-dispersive X-ray (EDX) analysis, and nitrogen-adsorption BET measurements. AC-PS@FeII contained ferromagnetite with a cubic spinel structure and a specific area of 181.96&#xa0;m<sup>2</sup>&#xb7;g<sup>&#x2013;1</sup>. AC-PS@FeII degraded MO with a degradation efficiency of 99.22% at pH 2, 4&#xa0;g/L of catalyst dosage, and a 50-min contact time. The results of recyclability tests, using distilled water, revealed a slight decrease in degradation capacity after four runs, indicating that the developed catalyst was appreciably stable. The hetero-Fenton catalyst from peanut shells could be an ideal catalyst for treating wastewater contaminated with dyes as a path toward a circular economy.</p>
</abstract>
<kwd-group>
<kwd>ferromagnetic activated carbon</kwd>
<kwd>methyl orange</kwd>
<kwd>Heterogeneous Fenton</kwd>
<kwd>peanut shells</kwd>
<kwd>pyrolysis</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Sorption Technologies</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Dye pollution has become a widespread environmental problem because of its wide application in industries such as the paper, textiles, plastic, and leather tanning industries in the past several decades (<xref ref-type="bibr" rid="B3">Bernardi et al., 2010</xref>; <xref ref-type="bibr" rid="B12">Dong et al., 2017</xref>). Over 100,000 commercial dyes are produced annually at an estimated annual production rate of over 800,000&#xa0;tons (<xref ref-type="bibr" rid="B7">Couture et al., 2013</xref>). Large amounts of dye-containing effluents pose a great threat to the environment because of their strong color, complex structure, stability, and low biodegradability (<xref ref-type="bibr" rid="B14">Du et al., 2016</xref>). Therefore, it is of vital importance to remove dyes from wastewater to protect aquatic and terrestrial lifeforms and minimize the hazards associated with water pollution.</p>
<p>Unlike physical and biological treatment methods, chemical oxidation methods such as homogeneous and heterogeneous Fenton treatment methods are capable of mineralizing a wide range of organic pollutants (<xref ref-type="bibr" rid="B52">Varjani and Sudha, 2018</xref>). However, compared to the homogeneous Fenton process, the easy recovery of the exhausted catalyst after application in the case of a heterogeneous Fenton process makes it more convenient (<xref ref-type="bibr" rid="B8">Cuerda-Correa et al., 2020</xref>). Following that, many researchers have reported various methods of enhancing the efficiency of a heterogeneous Fenton process. A common method involves immobilizing the metallic ions/oxides onto various supports to maximize the synergistic effect of the catalytic and adsorptive properties of the additive oxide and the host material (<xref ref-type="bibr" rid="B48">Shikuku et al., 2018</xref>). Such supports, including activated carbon (<xref ref-type="bibr" rid="B22">Jaafarzadeh et al., 2015</xref>), carbon nanotubes (<xref ref-type="bibr" rid="B6">Cleveland et al., 2014</xref>), graphite oxide (<xref ref-type="bibr" rid="B6">Cleveland et al., 2014</xref>), and SBA-15 (<xref ref-type="bibr" rid="B20">Hua et al., 2014</xref>), are capable of improving the efficiency of the Fenton process by scavenging the pollutant and also easing the catalyst recovery process after application. The inherent limitations of homogeneous catalysis attract high capital investment for industrial use in wastewater treatment, particularly in developing countries. This could be navigated using heterogeneous Fenton catalysis involving immobilization of largely abundant iron oxide-based catalysts on a low-cost porous solid support. Hydroxyl radicals are produced from the catalytic decomposition of H<sub>2</sub>O<sub>2</sub> by ferrous or ferric salts (<xref ref-type="bibr" rid="B57">Zhou et al., 2019</xref>). This process uses relatively inexpensive and non-toxic reactants and catalysts and shows great potential for industrial applications.</p>
<p>Activated carbon prepared from waste biomass such as peanut shells (PSs) (abundant in Cameroon and other regions of Africa) by chemical activation has gained widespread interest (<xref ref-type="bibr" rid="B53">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B16">Fletcher et al., 2024</xref>). Additionally, the utilization of otherwise waste materials is consistent with the principles of a circular economy (<xref ref-type="bibr" rid="B40">Ngeno et al., 2022</xref>). The use of readily available and non-exhaustible biomass, such as peanut shells, that can be easily and cost-effectively transformed into high-surface area adsorbents and catalyst support materials for iron impregnation is attractive. Moreover, their valorization contributes toward solving the problem of solid waste disposal in many communities. Subsequently, the hydrothermal method was used for the precipitation of iron oxide into the activated carbon matrix. The development of activated carbons functionalized with active iron oxide phases for the Fenton reaction is a promising way to obtain new multifunctional porous materials combining adsorption and advanced oxidation, allowing the development of an efficient, economical, and environmentally friendly treatment process (<xref ref-type="bibr" rid="B24">Joshi et al., 2012</xref>; <xref ref-type="bibr" rid="B41">Ngueabouo et al., 2022</xref>). The control of the properties of the host material is important to optimize the functionality of the composite catalyst. The properties of activated carbon depend on the type of biomass, activation method (chemical or thermal), identity of the chemical activators (gas, acid, alkali, and salt), concentration of the activator agent, precursor-to-activator ratio, and pyrolysis conditions (temperature and residence time) (<xref ref-type="bibr" rid="B5">Chimi et al., 2022</xref>; <xref ref-type="bibr" rid="B42">Njewa and Shikuku, 2023</xref>; <xref ref-type="bibr" rid="B50">Taquieteu et al., 2023</xref>). Furthermore, the surface chemistry and performance of the metal oxide&#x2013;carbon composite are also governed by the identity of the metal oxide(s) and the fraction by mass (<xref ref-type="bibr" rid="B23">Jacques et al., 2023</xref>). The complexity of the interactions between these variables implies that the properties of the activated carbon cannot be predicted <italic>a priori</italic> and must be optimized empirically for a particular biomass type. Such optimization would be cumbersome and expensive. A response surface methodology (RSM) provides a convenient tool for the optimization of adsorbent properties when the input variables (process conditions) are known (<xref ref-type="bibr" rid="B49">Sidjou et al., 2023</xref>). Therefore, the textural properties, surface chemistry, and catalytic performance of peanut shell-derived ferromagnetic activated carbon as Fenton catalysts for the mineralization of methyl orange are unknown. The objective of the present work was to (i) determine the activator agent (acid or alkali) and activation conditions (precursor-to-activator ratio and concentration of activator) that provide a maximized porosity structure for peanut shell-derived-activated carbons using RSM design and (ii) prepare a ferromagnetic activated carbon for the Fenton-type degradation of methyl orange (MO) under optimized process conditions. Of special interest was the study of the textural properties, surface chemistry, and catalytic performance.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Materials and chemicals</title>
<p>Peanut shells were collected in the town of Dschang, Menoua Department, West Region of Cameroon. Subsequently, the peanut shells were washed and rinsed several times with distilled water, dried in the sun, and then crushed and sieved through a 100-&#xb5;m sieve. Iron sulfate heptahydrate (FeSO<sub>4</sub>.7H<sub>2</sub>O, purity 99%) and sodium hydroxide (NaOH, purity 97%) were acquired from Fisher Scientific, and hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>, 50%) and MO (98%) of chemical formula C<sub>14</sub>H<sub>14</sub>N<sub>3</sub>O<sub>3</sub>S<sup>&#x2212;</sup>Na<sup>&#x2b;</sup> were purchased from Prolado.</p>
</sec>
<sec id="s2-2">
<title>2.2 Preparation of activated carbons</title>
<p>The activated carbons from peanut shells were prepared by the chemical activation of the biomass using activating agents H<sub>3</sub>PO<sub>4</sub> and KOH at different concentrations (0.5&#xa0;M, 1&#xa0;M, and 1.5&#xa0;M) using varying precursor-to-activator (S/L) ratios (1:1, 1:2, and 1:3). A mass of 120&#xa0;g of the materials was immersed in 150&#xa0;mL of activating agent solution. The mixtures were stirred for 30&#xa0;min and then oven-dried at 105&#xb0;C for 48&#xa0;h. The activated samples were carbonized for 1&#xa0;h at 500&#xb0;C at a heating rate of 5&#xb0;C/min under inert conditions. The pyrolysis products (carbons) were washed several times with distilled water until the effluent attained neutral pH. The activated carbon pastes were oven-dried at 105&#xb0;C for 24&#xa0;h, crushed into powder, and then sieved through a 100-&#xb5;m sieve. The relative porosity structures of the activated carbons were characterized by the iodine index method (<xref ref-type="bibr" rid="B30">Kuete et al., 2018</xref>).</p>
</sec>
<sec id="s2-3">
<title>2.3 Magnetization of activated carbon</title>
<p>The magnetically responsive activated carbon composites were prepared following the hydrothermal method. In brief, 10&#xa0;g of previously prepared activated carbon was introduced into 250&#xa0;mL of an aqueous solution containing 5&#xa0;g of NaOH and 30&#xa0;g of FeSO<sub>4</sub>.7H<sub>2</sub>O under magnetic stirring at 80&#xb0;C for 2&#xa0;h. The resulting mixture was then filtered, and the residue was washed several times with distilled water until pH of the supernatant matched pH of the initial distilled water. The residue was then oven-dried at 105&#xb0;C for 24&#xa0;h to obtain ferromagnetic activated carbon (<xref ref-type="bibr" rid="B8">Cuerda-Correa et al., 2020</xref>).</p>
</sec>
<sec id="s2-4">
<title>2.4 Characterization of activated carbon and magnetic activated carbon</title>
<p>Fourier-transform infrared spectroscopy (FTIR) spectra were obtained using a Genesis FTIR Spectrometer (Bruker Optics GmbH, Rudolf-Plank-Str. 27, 76275 Ettlingen, Germany) (Mattson ATI) equipped with a deuterated triglycine sulfate (DTGS) detector in the transmission mode from 400 to 4,000&#xa0;cm<sup>&#x2013;1</sup> after 20 scans.</p>
<p>X-ray diffraction (XRD) data were collected on a STOE STADI P powder diffractometer (Stoe &#x26; CIE GmbH, Darmstadt, Germany) with Cu-K&#x3b1;1 radiation (&#x3bb; &#x3d; 1.54056&#xa0;&#xc5;; Ge monochromator; flat samples) in transmission geometry using a DECTRIS<sup>&#xae;</sup> MYTHEN 1&#xa0;K detector (DECTRIS, Baden-Daettwil, Switzerland).</p>
<p>The surface morphology of the materials was inspected using scanning electron microscopy (SEM)/energy-dispersive X-ray (EDX) analysis and field emission scanning electron microscopy coupled with energy-dispersive X-ray microanalysis (FE-SEM/EDX) using a Magellan 400-L scanning electron microscope.</p>
<p>The specific surface area, pore size, and pore volume of the three materials were determined from N<sub>2</sub> adsorption and desorption using the BET/BJH models using a BELSORP MAX apparatus from Bel Japan Inc. The sorption experiments were carried out at 77&#xa0;K.</p>
</sec>
<sec id="s2-5">
<title>2.5 Fenton oxidation experiments using the synthesized catalyst</title>
<p>The RSM based on the centered composite design (CCD) was used to optimize the percent degradation of methyl orange. The factors investigated were as follows: pH of the solution Eqs <xref ref-type="disp-formula" rid="e2">2</xref>&#x2212;<xref ref-type="disp-formula" rid="e8">8</xref>, the initial concentration of methyl orange (50&#x2013;100&#xa0;mg/L), the contact time (30&#x2013;60&#xa0;min), and the mass of ferromagnetic activated carbon from peanut shells (AC-PS@FeII) (100&#x2013;200&#xa0;mg). The optimization of the effects of these factors involved three steps: (i) conducting statistically designed experiments according to the generated experimental plan; (ii) proposing a mathematical model based on the experimental results and the variance analysis; and (iii) predicting the output variable and confirmation of the model. <xref ref-type="table" rid="T1">Table 1</xref> presents the levels of the variables involved and the expected response.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Experimental design parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="3" align="center">Influence factor</th>
<th rowspan="3" align="center">Coded factor</th>
<th colspan="3" align="center">Coded level</th>
</tr>
<tr>
<th align="center">&#x2212;1</th>
<th align="center">0</th>
<th align="center">&#x2b;1</th>
</tr>
<tr>
<th colspan="3" align="center">Current level</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">pH</td>
<td align="center">A</td>
<td align="center">2</td>
<td align="center">5</td>
<td align="center">8</td>
</tr>
<tr>
<td align="left">Concentration (mg/L)</td>
<td align="center">B</td>
<td align="center">50</td>
<td align="center">75</td>
<td align="center">100</td>
</tr>
<tr>
<td align="left">Mass of AC-PS@FeII (mg) (mg)</td>
<td align="center">C</td>
<td align="center">100</td>
<td align="center">150</td>
<td align="center">200</td>
</tr>
<tr>
<td align="left">Contact time (min)</td>
<td align="center">D</td>
<td align="center">30</td>
<td align="center">45</td>
<td align="center">60</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The spent catalyst was recovered using an external magnetic field and recycled, washed with distilled water, and reused for three cycles. This reuse of AC-PS@FeII (150&#xa0;mg) was carried out in a solution at 50&#xa0;mg/L (MO), pH &#x3d; 2, H<sub>2</sub>O<sub>2</sub> (5&#xa0;mL), and 60&#xa0;min of stirring.</p>
<p>For 4 chosen variables and 3 points fixed at the center, the centered composite plan made it possible to carry out 27 experiments determined using Eq. <xref ref-type="disp-formula" rid="e1">1</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mi>K</mml:mi>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>KC</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mn>2</mml:mn>
<mml:mn>4</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">X</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>4</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>27</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>where N is the total number of experiments, K is the number of factors studied, and KC is the number of points at the center, which allows us to determine errors or reproducibility of the data.</p>
<p>The 27 experiments were analyzed using Statgraphics 18.0 software. At the end of this analysis, the optimal values of pH of the solution, initial concentration of the pollutant, contact time, and mass of AC-PS@FeII were obtained, whose values were used for the rest of the work.</p>
<p>The residual concentrations of the dye at different reaction times were determined spectrophotometrically at &#x3bb;<sub>max</sub> &#x3d; 505&#xa0;nm at an acidic pH range and &#x3bb;<sub>max</sub> &#x3d; 465&#xa0;nm in basic media. The removal efficiency of methyl orange is defined by Eq. <xref ref-type="disp-formula" rid="e2">2</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mtext>removal&#x2009;efficiency&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>where <italic>C</italic>
<sub>
<italic>o</italic>
</sub> is the initial concentration of methyl orange and <italic>C</italic>
<sub>
<italic>t</italic>
</sub> is the concentration of methyl orange at reaction time <italic>t</italic> (min).</p>
<p>Hydroxyl radicals react with methyl orange to degrade it according to Eq. <xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mtext>Methyl&#x2009;orange</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>OH</mml:mtext>
<mml:mo>&#x2022;</mml:mo>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>by</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mtext>product&#x2009;of&#x2009;compound</mml:mtext>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The first-order kinetics is represented by Eq. <xref ref-type="disp-formula" rid="e4">4</xref>:<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mrow>
<mml:mfenced open="[" close="]" separators="&#x7c;">
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>IC</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mtext>dt</mml:mtext>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">k</mml:mi>
<mml:msup>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>1</mml:mn>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>From Eq. <xref ref-type="disp-formula" rid="e3">3</xref>, we obtain by integration (with C&#x3d;C<sub>0</sub> at <italic>t</italic> &#x3d; 0)<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi>ln</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mtext>Co</mml:mtext>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>The second-order kinetics is represented by Eq. <xref ref-type="disp-formula" rid="e6">6</xref>:<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi>V</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">d</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:msup>
<mml:mtext>dt</mml:mtext>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mo>.</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
<p>We obtain, by integration (with C&#x3d;<italic>C</italic>
<sub>
<italic>0</italic>
</sub> at <italic>t</italic> &#x3d; 0), that for kinetics of order 2,<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>o</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>Co</italic> is the initial concentration of the pollutant (mg/L); <italic>C</italic>
<sub>
<italic>t</italic>
</sub> is the concentration of the pollutant at equilibrium (mg/L); and <italic>k</italic> is the respective rate constant.</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Characterization</title>
<sec id="s3-1-1">
<title>3.1.1 Iodine number</title>
<p>The iodine index indicates the degree of activation of activated carbon and is essentially used to measure the micropores (0&#x2013;20&#xa0;&#xc5;) present on the carbon. To gain an insight into the porosity structure of activated carbons, liquid-phase iodine adsorption has been used extensively in the characterization of activated carbon (<xref ref-type="bibr" rid="B36">Ndi et al., 2014</xref>; <xref ref-type="bibr" rid="B46">Sahira and Bhadra, 2014</xref>; <xref ref-type="bibr" rid="B51">Tchuifon et al., 2014</xref>; <xref ref-type="bibr" rid="B37">Ndifor-Angwafor et al., 2017</xref>; <xref ref-type="bibr" rid="B38">Ngakou et al., 2017</xref>; <xref ref-type="bibr" rid="B30">Kuete et al., 2018</xref>). The iodine index values of the prepared activated carbons are presented in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Iodine index of different activated carbons.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Activating agent</th>
<th align="left">Impregnation ratio</th>
<th align="left">Agent concentration activator (M)</th>
<th align="left">Iodine index</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="3" align="left">KOH</td>
<td align="center">1/1</td>
<td align="center">0.5</td>
<td align="center">489</td>
</tr>
<tr>
<td align="center">1/2</td>
<td align="center">1</td>
<td align="center">509</td>
</tr>
<tr>
<td align="center">1/3</td>
<td align="center">1.5</td>
<td align="center">591</td>
</tr>
<tr>
<td rowspan="3" align="left">H<sub>3</sub>PO<sub>4</sub>
</td>
<td align="center">1/1</td>
<td align="center">0.5</td>
<td align="center">337</td>
</tr>
<tr>
<td align="center">1/2</td>
<td align="center">1</td>
<td align="center">395</td>
</tr>
<tr>
<td align="center">1/3</td>
<td align="center">1.5</td>
<td align="center">328</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<xref ref-type="table" rid="T2">Table 2</xref> shows that, in the case of KOH, the iodine value increases with both concentration and precursor-to-activator solution ratios. For the H<sub>3</sub>PO<sub>4</sub> activator, a maximum is reached at 1&#xa0;M.</p>
<p>These results attest that the type of activating agents used in the preparation of activated carbons, the concentration, and synthesis conditions variously influence the porosity structure of the resulting carbonaceous material. These iodine index characterization tests show higher microporosity in activated carbons prepared from KOH with iodine indexes ranging from 489 to 591&#xa0;mg/g. This microporosity is very low for carbons prepared from orthophosphoric acid (H<sub>3</sub>PO<sub>4</sub>) with iodine values between 328 and 395&#xa0;mg/g. H<sub>3</sub>PO<sub>4</sub> retains carbon (promoting the formation of cross-links through dehydration, cyclization, and condensation reactions) and redistributes bio-polymers, which facilitates their conversion to aromatic rings and forms larger pores, consequently reducing iodine adsorption efficiency (<xref ref-type="bibr" rid="B1">Anis et al., 2014</xref>). This promotes the formation of a mixture of micropores and large mesopores.</p>
<p>The high iodine values obtained during KOH activation indicate that the KOH oxygen eliminated cross-linking and stabilized the carbon atoms in the crystallites. During pyrolysis, the intercalation of K atoms, resulting from the reduction of potassium hydroxide, is the initial step in the degradation process of biomass activated with KOH. This intercalation of potassium metal forces the lamellae apart in the crystal. This spacing in the crystal promotes the development of the carbonaceous structure and the porous network (<xref ref-type="bibr" rid="B46">Sahira and Bhadra, 2014</xref>). In other words, the development of this porosity in KOH-activated carbons is associated with a gasification reaction as KOH is reduced to potassium metal during the carbonization process. The reaction of KOH and carbon is postulated to occur according to Eq. <xref ref-type="disp-formula" rid="e8">8</xref> (<xref ref-type="bibr" rid="B32">Li et al., 2004</xref>):<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:mn>6</mml:mn>
<mml:mtext>KOH</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2192;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:msub>
<mml:mtext>CO</mml:mtext>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>In general, higher iodine values denote greater adsorption capacity. Thus, the iodine values (<xref ref-type="table" rid="T2">Table 2</xref>) show that KOH is a better activating agent than H<sub>3</sub>PO<sub>4</sub> for the preparation of carbons from peanut shells. However, the iodine values reported vary from the values reported in the literature for activated carbons activated with potassium hydroxide (<xref ref-type="bibr" rid="B43">Okieimen et al., 2007</xref>; <xref ref-type="bibr" rid="B46">Sahira and Bhadra, 2014</xref>; <xref ref-type="bibr" rid="B30">Kuete et al., 2018</xref>). This is due to differences in the composition of the precursor material and synthesis conditions.</p>
<p>In the remainder of this work, the activated carbon with the greatest iodine index value was used and coded as AC-PS, whereas the iron oxide-modified activated carbon was coded as AC-PS@FeII. The iodine index of PS@FeII was determined, and relative performance with pristine carbon is presented in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Iodine number of activated carbon (AC-PS) and ferromagnetic activated carbon (AC-PS@FeII).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Material</th>
<th align="left">AC-PS</th>
<th align="left">AC-PS@FeII</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Iodine value (mg/g)</td>
<td align="left">591</td>
<td align="left">312</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the iodine index values given in <xref ref-type="table" rid="T3">Table 3</xref>, the pristine activated carbon (AC-PS) is more porous than the functionalized activated carbon (AC-PS@FeII) consistent with the pore volumes reported in nitrogen adsorption&#x2013;desorption studies. This is due to the occupation of the pores of the activated carbon by iron oxides during treatment.</p>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Fourier-transform infrared spectroscopy</title>
<p>FTIR spectroscopy was used to identify different surface functional groups, the pristine carbon, KOH-activated carbons, and ferromagnetic carbons (AC, AC-PS, and AC-PS@FeII), over a wavelength range of 500&#x2013;4,000&#xa0;cm<sup>&#x2212;1</sup>. The infrared spectra of the materials are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Fourier-transform infrared (FTIR) spectrum of materials.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g001.tif"/>
</fig>
<p>The FTIR spectra of the three materials, namely, AC, AC-PS, and AC-PS@FeII, show that in the region between 2,500 and 2,000&#xa0;cm<sup>&#x2212;1</sup>, characteristic peaks of C&#x2013;C aliphatic stretching vibrations appear. The peaks appearing at 1,600&#xa0;cm<sup>&#x2212;1</sup> on these spectra are attributed to the stretching of the C&#x3d;O carbonyl groups of the ketones, aldehydes, and/or lactones. The bands around 1,583&#xa0;cm<sup>&#x2212;1</sup> attributed to the elongation vibrations of C&#x3d;O groups remained unchanged and have almost the same intensities on the dried peanut shells as on the activated, calcined, and magnetized peel. The slight decrease in the intensity of the peaks was observed following pyrolysis. The peaks centered at 1,100&#xa0;cm<sup>&#x2212;1</sup> for ferromagnetic activated carbon AC-PS@FeII and 1,050&#xa0;cm<sup>&#x2212;1</sup> are attributed to the stretching vibrations of ether C&#x2013;O (<xref ref-type="bibr" rid="B31">Lall et al., 2020</xref>; <xref ref-type="bibr" rid="B11">Djouonkep et al., 2022</xref>). The appearance of two new bands on the AC-PS@FeII spectra around 750 and 1,000&#xa0;cm<sup>&#x2212;1</sup> is the characteristic of the OH in- and out-of-the-plane bending vibrations of the Fe&#x2013;OH group in goethite, respectively (<xref ref-type="bibr" rid="B26">Khelifi et al., 2016</xref>). Additional differences between the three FTIR spectra were noted. For the spectrum of AC-PS@FeII, a band is observed at 560&#xa0;cm<sup>&#x2212;1</sup> corresponding to iron oxides (FeO). The band between 450 and 740&#xa0;cm<sup>&#x2212;1</sup> was attributed to the Fe&#x2013;O vibrations of iron oxide nano AC-PS particles (<xref ref-type="bibr" rid="B39">Ngankam et al., 2020</xref>). This denotes the successful precipitation of iron oxide after the functionalization of AC-PS to obtain ferromagnetic activated carbon, AC-PS@FeII.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 EDX and SEM of AC-PS and AC-PS@FeII</title>
<p>Energy dispersive X-ray spectroscopy (<xref ref-type="fig" rid="F2">Figure 2</xref>) was used to inspect the elemental composition of the materials. The pie charts presented in each of these figures provide the percentages of the main chemical elements present in the structure of each of these three materials. The chemical composition includes the raw materials, i.e., carbon (72.2%), oxygen (24.9%), and potassium (2.9%), and activated carbon, i.e., carbon (82.3%) and oxygen (17.7%), while ferromagnetic activated carbon contains carbon (42%), oxygen (24%), sodium (8%), and iron (26%) (<xref ref-type="fig" rid="F2">Figure 2C</xref>). EDX analysis revealed the presence of the elements Fe, O, and C on the surface of the ferromagnetic activated carbon, consistent with the formation of iron oxides observed from the FTIR spectrum. The disappearance of elements (K) could be due to dissolution into the aqueous phase and the appearance of the new elements (Fe and Na) arising from the elemental composition of the synthesis materials.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Energy-dispersive X-ray images of <bold>(A)</bold> peanut shells <bold>(B)</bold> activated carbon <bold>(C)</bold> ferromagnetic activated carbon.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g002.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3A</xref> shows the SEM image of the precursor peanut shells. The biomass has a surface morphology in the form of heterogeneous cavities with irregularly agglomerated dispersed clumps of particles. The SEM image of the activated carbon (<xref ref-type="fig" rid="F3">Figure 3B</xref>) shows a sponge-like structure with enhanced porosity as a result of the chemical activation process. The SEM image of the ferromagnetic activated carbon (<xref ref-type="fig" rid="F3">Figure 3C</xref>) shows a surface covered with dispersed particles of iron oxides that clog the pores (<xref ref-type="bibr" rid="B2">Aurelien et al., 2022</xref>; <xref ref-type="bibr" rid="B44">Peng et al., 2022</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Scanning electron microscopy (SEM) images of <bold>(A)</bold> precursor peanut shells <bold>(B)</bold> AC-PS, and <bold>(C)</bold> AC-PS@FeII.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g003.tif"/>
</fig>
</sec>
<sec id="s3-1-4">
<title>3.1.4 XRD analysis</title>
<p>XRD was used to determine the crystallinity of the raw material compared to the activated carbon and mineral phases of iron in the ferromagnetic activated carbon. The diffractograms are given in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>X<bold>-</bold>ray diffractogram.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g004.tif"/>
</fig>
<p>For the raw material, the peak observed at 2&#x3b8; &#x3d; 23&#xb0; is attributed to different planar crystal structures of carbon (<xref ref-type="bibr" rid="B13">Dong et al., 2020</xref>). In terms of crystallinity, much of the structure of the activated carbon is amorphous based on the diffractogram pattern. The peaks around 2&#x3b8; &#x3d; 30&#xb0; and 2&#x3b8; &#x3d; 44&#xb0; were attributed to the planar crystal structure of the activated carbon (<xref ref-type="bibr" rid="B47">Sandrale et al., 2023</xref>). The diffractogram of AC-PS@FeII portrayed at least five well-pronounced peaks, indicating the existence of different crystalline phases. The peaks at 2&#x3b8; values of 30&#xb0;, 35&#xb0;, 44&#xb0;, 55&#xb0;, and 65&#xb0; of AC-PS@FeII are the characteristic of magnetite (Fe<sub>3</sub>O<sub>4</sub>), which indicates a cubic spinel structure of indexed peaks like (220), (311), (400), (422), and (400) (<xref ref-type="bibr" rid="B13">Dong et al., 2020</xref>). The presence of crystalline phases of iron confirms the insertion of iron ions into the carbon. These crystalline phases essentially consist of magnetite (Fe<sub>3</sub>O<sub>4</sub>) and maghemite (&#x3b3;-Fe<sub>2</sub>O<sub>3</sub>) at 2&#x3b8; &#x3d; 35&#xb0;. Only magnetite (Fe<sub>3</sub>O<sub>4</sub>) has a ferromagnetic character, and the other phase is paramagnetic.</p>
</sec>
<sec id="s3-1-5">
<title>3.1.5 BET-specific surface area and porosity</title>
<p>The results of the nitrogen adsorption hysteresis at 77&#xa0;K by different carbons are given in <xref ref-type="fig" rid="F5">Figure 5A</xref>, and the pore-size distribution of the carbons is given in <xref ref-type="fig" rid="F5">Figure 5B</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Nitrogen adsorption hysteresis <bold>(A)</bold> and BJH pore-size distribution of carbons <bold>(B)</bold> AC-PS and AC-PS@FeII.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g005.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F5">Figure 5A</xref> shows the N<sub>2</sub> adsorption&#x2013;desorption isotherms and pore-size distribution obtained for the AC-PS and AC-PS@FeII samples. Although the isotherms present a combined type I/II characteristic (<xref ref-type="bibr" rid="B21">IUPAC, 1985</xref>), the type I isotherm characterized for microporous solids occupies a major part. The pore parameters given in <xref ref-type="table" rid="T4">Table 4</xref> indicate that the formation of iron oxide nanoparticles inside the porous structure of the activated carbon causes a reduction in the BET surface area and pore volume (<xref ref-type="bibr" rid="B56">Zhang et al., 2007</xref>). The BET surface area and pore volume values are given in <xref ref-type="table" rid="T2">Table 2</xref>. The analysis of the pore size by the BJH method (<xref ref-type="fig" rid="F5">Figure 5B</xref>) highlights the microporous nature of the activated carbon and AC-PS@FeII. Similar results were obtained by <xref ref-type="bibr" rid="B29">Kpinsoton (2019)</xref> on the development of catalysts based on activated carbon and laterites for the degradation of methylene blue by the heterogeneous Fenton process.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>BET specific surface area, total volume, and average pore diameter.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Sample</th>
<th align="left">BET surface (m<sup>2</sup>&#xb7;g<sup>&#x2212;1</sup>)</th>
<th align="left">Total pore volume (cm&#xb3;&#xb7;g<sup>&#x2212;1</sup>)</th>
<th align="left">External surface area (m<sup>2</sup>&#xb7;g<sup>&#x2212;1</sup>)</th>
<th align="left">Micropore area (m<sup>2</sup>&#xb7;g<sup>&#x2212;1</sup>)</th>
<th align="left">Micropore volume (cm<sup>3</sup>&#xb7;g<sup>&#x2212;1</sup>)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">AC-PS</td>
<td align="left">199.6915</td>
<td align="left">0.281291</td>
<td align="left">92.3059</td>
<td align="left">107.3856</td>
<td align="left">0.059523</td>
</tr>
<tr>
<td align="left">AC-PS@FeII</td>
<td align="left">181.9629</td>
<td align="left">0.161121</td>
<td align="left">82.7487</td>
<td align="left">99.2142</td>
<td align="left">0.054835</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The catalyst thus prepared was used to degrade methyl orange dye by optimizing the percent degradation using the response surface methodology.</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Catalytic degradation</title>
<p>The degradation of MO was studied by different processes, i.e., the homogeneous Fenton process (Fe(II) &#x2b; H<sub>2</sub>O<sub>2</sub>), adsorption onto AC-PS, Fe(II), and AC-PS@FeII, and finally, heterogeneous Fenton (AC-PS@FeII &#x2b; H<sub>2</sub>O<sub>2</sub>) in a solution of 50&#xa0;mg/L (MO) at pH 2 with 60&#xa0;min of stirring and 0.5&#xa0;mL of H<sub>2</sub>O<sub>2,</sub> and the results are given in <xref ref-type="fig" rid="F6">Figure 6</xref>.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Degradation of methyl orange (MO) under different conditions at pH 2, 50&#xa0;mg/L OM, and 150&#xa0;g of AC-PS@FeII.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g006.tif"/>
</fig>
<p>The results (<xref ref-type="fig" rid="F6">Figure 6</xref>) indicate neither degradation effects nor adsorption when Fe(II) alone is used, a low removal efficiency of 5% for AC-PS@FeII, and a significantly higher removal efficiency of 16.60% for AC-PS alone. This low adsorption (&#x223c;5%) could be due to the occupation of the AC-PS cavities and obstruction of the active adsorption sites by magnetite particles, resulting in the low affinity of AC-PS@FeII for the MO molecules. When the mineralization potential of Fe(II) &#x2b; H<sub>2</sub>O<sub>2</sub> was examined, a removal efficiency of 66.81% was observed under similar conditions. This removal is due to the generation of hydroxide radicals, which leads to the oxidation of MO. Maximum removal is achieved at 99.86% (50&#xa0;mg/L of MO) for the heterogeneous Fenton process using AC-PS@FeII &#x2b; H<sub>2</sub>O<sub>2</sub> as a catalyst. It is demonstrated that MO sequestration efficiency using heterogeneous Fenton catalysis exceeds the use of the other approaches.</p>
</sec>
<sec id="s3-3">
<title>3.3 Degradation of methyl orange by the heterogeneous Fenton process</title>
<p>The efficiency of AC-PS@FeII to degrade MO was optimized using the response surface methodology using solution pH (A), MO concentration (B), catalyst dosage (C), and contact time (D) as the input variables, and the results are hereby presented.</p>
<sec id="s3-3-1">
<title>3.3.1 Optimization of the removal of methyl orange</title>
<p>AC-PS@FeII was used in the optimization studies based on the central composite experimental design of the response surface methodology since it exhibited the highest catalytic activity. <xref ref-type="table" rid="T5">Table 5</xref> displays the design matrix with 27 runs conducted in a single block, together with the experimental and predicted responses. For each of the 27 experimental runs, the residue values are much smaller than the experimental and theoretical values, indicating that the experimental and theoretical values are reasonably approximated. This is supported by the near-unity <italic>R</italic>
<sup>2</sup> (96.60%) and R<sup>2</sup>
<sub>adj</sub> (92.64%) values.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Experimental design matrix and predicted values for the degradation of methyl orange in the presence of AC-PS@FeII</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">N&#xb0;</th>
<th rowspan="2" align="left">A: pH</th>
<th rowspan="2" align="left">B: <italic>adsorbate concentration</italic> (mg/L)</th>
<th rowspan="2" align="left">C: catalyst dose (mg)</th>
<th rowspan="2" align="center">D: time (min)</th>
<th colspan="2" align="center">Degradation efficiency (%)</th>
</tr>
<tr>
<th align="center">Observed value</th>
<th align="center">Predicted value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="center">2</td>
<td align="center">50</td>
<td align="center">100</td>
<td align="center">30</td>
<td align="center">83.1096</td>
<td align="center">83.0243</td>
</tr>
<tr>
<td align="left">2</td>
<td align="center">8</td>
<td align="center">50</td>
<td align="center">100</td>
<td align="center">30</td>
<td align="center">9.4742</td>
<td align="center">7.82268</td>
</tr>
<tr>
<td align="left">3</td>
<td align="center">2</td>
<td align="center">100</td>
<td align="center">100</td>
<td align="center">30</td>
<td align="center">67.4309</td>
<td align="center">74.6614</td>
</tr>
<tr>
<td align="left">4</td>
<td align="center">8</td>
<td align="center">100</td>
<td align="center">100</td>
<td align="center">30</td>
<td align="center">4.38548</td>
<td align="center">5.79258</td>
</tr>
<tr>
<td align="left">5</td>
<td align="center">2</td>
<td align="center">50</td>
<td align="center">200</td>
<td align="center">30</td>
<td align="center">88.0515</td>
<td align="center">89.7459</td>
</tr>
<tr>
<td align="left">6</td>
<td align="center">8</td>
<td align="center">50</td>
<td align="center">200</td>
<td align="center">30</td>
<td align="center">5.25818</td>
<td align="center">12.6544</td>
</tr>
<tr>
<td align="left">7</td>
<td align="center">2</td>
<td align="center">100</td>
<td align="center">200</td>
<td align="center">30</td>
<td align="center">69.8893</td>
<td align="center">70.4125</td>
</tr>
<tr>
<td align="left">8</td>
<td align="center">8</td>
<td align="center">100</td>
<td align="center">200</td>
<td align="center">30</td>
<td align="center">7.13681</td>
<td align="center">&#x2212;0.346257</td>
</tr>
<tr>
<td align="left">9</td>
<td align="center">2</td>
<td align="center">50</td>
<td align="center">100</td>
<td align="center">60</td>
<td align="center">71.9965</td>
<td align="center">81.6749</td>
</tr>
<tr>
<td align="left">10</td>
<td align="center">8</td>
<td align="center">50</td>
<td align="center">100</td>
<td align="center">60</td>
<td align="center">11.8144</td>
<td align="center">10.6065</td>
</tr>
<tr>
<td align="left">11</td>
<td align="center">2</td>
<td align="center">100</td>
<td align="center">100</td>
<td align="center">60</td>
<td align="center">79.0708</td>
<td align="center">70.9898</td>
</tr>
<tr>
<td align="left">12</td>
<td align="center">8</td>
<td align="center">100</td>
<td align="center">100</td>
<td align="center">60</td>
<td align="center">5.75319</td>
<td align="center">6.25412</td>
</tr>
<tr>
<td align="left">13</td>
<td align="center">2</td>
<td align="center">50</td>
<td align="center">200</td>
<td align="center">60</td>
<td align="center">99.4907</td>
<td align="center">97.3988</td>
</tr>
<tr>
<td align="left">14</td>
<td align="center">8</td>
<td align="center">50</td>
<td align="center">200</td>
<td align="center">60</td>
<td align="center">29.4755</td>
<td align="center">24.4404</td>
</tr>
<tr>
<td align="left">15</td>
<td align="center">2</td>
<td align="center">100</td>
<td align="center">200</td>
<td align="center">60</td>
<td align="center">71.8962</td>
<td align="center">75.7431</td>
</tr>
<tr>
<td align="left">16</td>
<td align="center">8</td>
<td align="center">100</td>
<td align="center">200</td>
<td align="center">60</td>
<td align="center">9.71701</td>
<td align="center">9.11751</td>
</tr>
<tr>
<td align="left">17</td>
<td align="center">2</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">96.5557</td>
<td align="center">83.8405</td>
</tr>
<tr>
<td align="left">18</td>
<td align="center">8</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">6.25407</td>
<td align="center">12.9269</td>
</tr>
<tr>
<td align="left">19</td>
<td align="center">5</td>
<td align="center">50</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">43.3261</td>
<td align="center">34.6288</td>
</tr>
<tr>
<td align="left">20</td>
<td align="center">5</td>
<td align="center">100</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">20.1308</td>
<td align="center">22.7858</td>
</tr>
<tr>
<td align="left">21</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">100</td>
<td align="center">45</td>
<td align="center">28.7715</td>
<td align="center">20.9803</td>
</tr>
<tr>
<td align="left">22</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">200</td>
<td align="center">45</td>
<td align="center">24.024</td>
<td align="center">25.7729</td>
</tr>
<tr>
<td align="left">23</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">30</td>
<td align="center">27.2381</td>
<td align="center">18.2066</td>
</tr>
<tr>
<td align="left">24</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">60</td>
<td align="center">19.2746</td>
<td align="center">22.2638</td>
</tr>
<tr>
<td align="left">25</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">18.8246</td>
<td align="center">25.2344</td>
</tr>
<tr>
<td align="left">26</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">19.3759</td>
<td align="center">25.2344</td>
</tr>
<tr>
<td align="left">27</td>
<td align="center">5</td>
<td align="center">75</td>
<td align="center">150</td>
<td align="center">45</td>
<td align="center">19.3759</td>
<td align="center">25.2344</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The quadratic mathematical model suitably represented the correlation between predicted values (Eq. <xref ref-type="disp-formula" rid="e9">9</xref>) and the experimental values (Eq. <xref ref-type="disp-formula" rid="e10">10</xref>).</p>
<sec id="s3-3-1-1">
<title>3.3.1.1 Model with coded values of variables of the design of experiments</title>
<p>
<disp-formula id="e9">
<mml:math id="m9">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Degradation</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>efficiency</mml:mtext>
</mml:mrow>
<mml:mtext>coded</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>42.33</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>35.46</mml:mn>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5.92</mml:mn>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.4</mml:mn>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.03</mml:mn>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.58</mml:mn>
<mml:mtext>AB</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.4725</mml:mn>
<mml:mtext>AC</mml:mtext>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.03</mml:mn>
<mml:mtext>AD</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.74</mml:mn>
<mml:mtext>BC</mml:mtext>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.5806</mml:mn>
<mml:mtext>BD</mml:mtext>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.25</mml:mn>
<mml:mtext>CD</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>23.15</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>3.47</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.86</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5.00</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(9)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-3-1-2">
<title>3.3.1.2 Model with actual values of variables of the design of experiments</title>
<p>
<disp-formula id="e10">
<mml:math id="m10">
<mml:mtable columnalign="left">
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mtext>Degradation</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>efficiency</mml:mtext>
</mml:mrow>
<mml:mtext>Actual</mml:mtext>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>123.731</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>39.6844</mml:mn>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.77711</mml:mn>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.316139</mml:mn>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.68612</mml:mn>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>2.57214</mml:mn>
<mml:msup>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.0211094</mml:mn>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.00314986</mml:mn>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.0229618</mml:mn>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.00555659</mml:mn>
<mml:msup>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.00219411</mml:mn>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.00154815</mml:mn>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.00154815</mml:mn>
<mml:mi mathvariant="normal">B</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mo>&#x2a;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">D</mml:mi>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.000743133</mml:mn>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.00300074</mml:mn>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.0222188</mml:mn>
<mml:msup>
<mml:mi>D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>These equations have terms with negative and positive coefficients. A positive coefficient indicates that the factor or interaction concerned has a synergistic effect on the response. When one of such parameters is increased, an increase in the degradation rate, and otherwise, a decrease in the degradation rate is observed. Contrarily, a negative coefficient indicates that the factor has an antagonistic effect on the degradation rate. Its increase leads to a reduction in the rate of degradation and a reduction in the factor that favors it (<xref ref-type="bibr" rid="B28">Kouotou et al., 2021</xref>).</p>
<p>It follows that pH, concentration, pH&#x2013;mass interaction, concentration&#x2013;mass, concentration&#x2013;time, mass&#x2013;mass, and time&#x2013;time have antagonistic effects, while mass, time, pH&#x2013;pH interaction, pH&#x2013;time, concentration&#x2013;concentration, and mass&#x2013;time have synergistic effects on the degradation rate.</p>
<p>Of all these interactions, the significant interactions could be determined by the analysis of variance (ANOVA). The probability plot (<xref ref-type="fig" rid="F7">Figure 7</xref>) illustrates a close relationship between the responses predicted by the model and those found empirically, in addition to the values of <italic>R</italic>
<sup>2</sup> and R<sup>2</sup>adj that demonstrate the validity of this model. These results are confirmed by the relationship between the experimental and predicted values <italic>R</italic>
<sup>2</sup> (96.60%) and R<sup>2</sup>adj (92.63%), showing good proximity between the values predicted by the model and those obtained experimentally. <xref ref-type="table" rid="T6">Table 6</xref> lists the best process conditions for the highest response (degradation efficiency) with the associated error value.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Comparison of predicted and actual values for the degradation efficiency (%) of methyl orange.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g007.tif"/>
</fig>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Predicted and experimental values for the degradation efficiency of methyl orange under the optimal condition.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="4" align="center">Condition</th>
<th colspan="3" align="center">Degradation efficiency (%)</th>
</tr>
<tr>
<th align="left">pH</th>
<th align="left">Adsorbate concentration (mg/L)</th>
<th align="left">Adsorbent dose (mg)</th>
<th align="left">Time (min)</th>
<th align="center">Predicted value</th>
<th align="center">Experimental value</th>
<th align="center">Error percentage</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">2</td>
<td align="left">50</td>
<td align="left">200</td>
<td align="left">50</td>
<td align="center">99.22</td>
<td align="center">99.49</td>
<td colspan="1" align="center">0.27</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3-3-2">
<title>3.3.2 ANOVA</title>
<p>ANOVA makes it possible to evaluate the influence, if any, of different factors and their interactions and verify the validity of the mathematical model. The ANOVA data of the model are given in <xref ref-type="table" rid="T7">Table 7</xref>:</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Analysis of variance for the quadratic model of the degradation efficiency of methyl orange.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Source</th>
<th align="center">Sum of squares</th>
<th align="center">df</th>
<th align="center">Mean square</th>
<th align="center">F-value</th>
<th align="center">
<italic>p</italic>-value</th>
<th align="center">Remark</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Model</td>
<td align="right">26,420.87</td>
<td align="right">14</td>
<td align="right">1,887.20</td>
<td align="right">24.37</td>
<td align="right">
<bold>&#x3c; 0.0001</bold>
</td>
<td align="right">
<bold>Significant</bold>
</td>
</tr>
<tr>
<td align="left">A-pH</td>
<td align="right">22,629.32</td>
<td align="right">1</td>
<td align="right">22,629.32</td>
<td align="right">292.21</td>
<td align="right">
<bold>&#x3c; 0.0001</bold>
</td>
<td align="right">
<bold>significant</bold>
</td>
</tr>
<tr>
<td align="left">B-adsorbate concentration</td>
<td align="right">631.15</td>
<td align="right">1</td>
<td align="right">631.15</td>
<td align="right">8.15</td>
<td align="right">
<bold>0.0145</bold>
</td>
<td align="right">
<bold>significant</bold>
</td>
</tr>
<tr>
<td align="left">C-adsorbent dose</td>
<td align="right">103.36</td>
<td align="right">1</td>
<td align="right">103.36</td>
<td align="right">1.33</td>
<td align="right">0.2705</td>
<td align="left"/>
</tr>
<tr>
<td align="left">D-time</td>
<td align="right">74.07</td>
<td align="right">1</td>
<td align="right">74.07</td>
<td align="right">0.9565</td>
<td align="right">0.3474</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AB</td>
<td align="right">40.10</td>
<td align="right">1</td>
<td align="right">40.10</td>
<td align="right">0.5179</td>
<td align="right">0.4855</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AC</td>
<td align="right">3.57</td>
<td align="right">1</td>
<td align="right">3.57</td>
<td align="right">0.0461</td>
<td align="right">0.8336</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AD</td>
<td align="right">17.08</td>
<td align="right">1</td>
<td align="right">17.08</td>
<td align="right">0.2206</td>
<td align="right">0.6470</td>
<td align="left"/>
</tr>
<tr>
<td align="left">BC</td>
<td align="right">120.35</td>
<td align="right">1</td>
<td align="right">120.35</td>
<td align="right">1.55</td>
<td align="right">0.2363</td>
<td align="left"/>
</tr>
<tr>
<td align="left">BD</td>
<td align="right">5.39</td>
<td align="right">1</td>
<td align="right">5.39</td>
<td align="right">0.0696</td>
<td align="right">0.7963</td>
<td align="left"/>
</tr>
<tr>
<td align="left">CD</td>
<td align="right">81.04</td>
<td align="right">1</td>
<td align="right">81.04</td>
<td align="right">1.05</td>
<td align="right">0.3265</td>
<td align="left"/>
</tr>
<tr>
<td align="left">A<sup>2</sup>
</td>
<td align="right">1,378.00</td>
<td align="right">1</td>
<td align="right">1,378.00</td>
<td align="right">17.79</td>
<td align="right">
<bold>0.0012</bold>
</td>
<td align="right">
<bold>significant</bold>
</td>
</tr>
<tr>
<td align="left">B<sup>2</sup>
</td>
<td align="right">31.01</td>
<td align="right">1</td>
<td align="right">31.01</td>
<td align="right">0.4005</td>
<td align="right">0.5387</td>
<td align="left"/>
</tr>
<tr>
<td align="left">C<sup>2</sup>
</td>
<td align="right">8.88</td>
<td align="right">1</td>
<td align="right">8.88</td>
<td align="right">0.1146</td>
<td align="right">0.7408</td>
<td align="left"/>
</tr>
<tr>
<td align="left">D<sup>2</sup>
</td>
<td align="right">64.27</td>
<td align="right">1</td>
<td align="right">64.27</td>
<td align="right">0.8299</td>
<td align="right">0.3802</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Residual</td>
<td align="right">929.30</td>
<td align="right">12</td>
<td align="right">77.44</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Lack of fit</td>
<td align="right">929.10</td>
<td align="right">10</td>
<td align="right">92.91</td>
<td align="right">917.08</td>
<td align="right">0.0011</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Pure Error</td>
<td align="right">0.2026</td>
<td align="right">2</td>
<td align="right">0.1013</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Cor total</td>
<td align="right">27,350.17</td>
<td align="right">26</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>For this analysis, the probability <italic>p</italic> was used to evaluate the significant effects of the factors and their interaction, and the indicator of the fineness of the second-order polynomial model obtained is the value of the coefficient of determination, <italic>R</italic>
<sup>2</sup>. A factor or an interaction between factors is said to be significant when the probability <italic>p</italic> is less than 0.005 (<italic>p</italic> &#x3c; 5%). In addition, the value of the coefficient of determination must be close to 1 (<xref ref-type="bibr" rid="B27">Kimouche, 2008</xref>). The results are given in <xref ref-type="table" rid="T7">Table 7</xref>. The degradation efficiency was significantly (<italic>p</italic> &#x3c; 0.05) affected by the solution pH and the initial concentration of the dye. The solution pH alters the surface chemistry of the catalyst and, hence, the activity of the catalytically active sites. The initial concentration controls the mass gradient of the dye across the boundary layer to the catalyst surface and the radicals and accessibility to the limited catalyst. Beyond 50&#xa0;mg/L, the dye concentration exceeds the available radicals, leading to decreased degradation efficiency. Uncharacteristically, the catalyst dosage had no statistically significant effect on the degradation efficiency. This suggests that the increase in the adsorbent dosage resulted in the degradation of the finite amount of H<sub>2</sub>O<sub>2</sub> to O<sub>2</sub> and the concomitant quenching of OH&#x2a; radicals by Fe<sup>2&#x2b;</sup> ions in the solution (<xref ref-type="bibr" rid="B9">Dat et al., 2023</xref>).</p>
</sec>
<sec id="s3-3-3">
<title>3.3.3 Response surfaces</title>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> shows in 3D the effect of two variables on the degradation efficiency when the other variables are fixed at zero. A relative significant interaction was observed between the initial dye concentration and pH. A decrease in dye concentration and an increase in pH favored the degradation efficiency. In the literature, the removal efficiency of dyes using the heterogeneous Fenton process is dependent on pH. A pH range of 2&#x2013;3 is often optimal for Fenton degradation because complexes and insoluble ferric hydroxide form in the solution at pH values above 3, and the quantity of OH<sup>&#x2022;</sup> radicals needed for the oxidation of the dye is significantly reduced, which explains the notable decrease in the percentage degradation obtained with higher pH values (<xref ref-type="bibr" rid="B19">Hassan and Hameed, 2011</xref>; <xref ref-type="bibr" rid="B35">Muhammad and Mashi, 2020</xref>; <xref ref-type="bibr" rid="B39">Ngankam et al., 2020</xref>). Fewer investigations, however, demonstrate that high yields of degradation at pH levels (in an acidic medium with pH 2 and 4) result from the impregnation of magnetic particles in the form of iron oxides (<xref ref-type="fig" rid="F8">Figure 8</xref>). The optimum process conditions were identified from the 3D model plots. The optimal degradation conditions were as follows: 0.2 g/50&#xa0;mL of AC-PS@FeII, the concentration of the pollutant at 50&#xa0;mg/L, and pH &#x3d; 2 at a contact time of 50&#xa0;min for a degradation rate of 99.22%.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Effects of pH, adsorbate concentration (mg/L), adsorbent dose (mg), and time (min), and their interactions on the removal efficiency (%) of methyl orange.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g008.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Kinetic studies of degradation</title>
<sec id="s3-4-1">
<title>3.4.1 First- and second-order kinetics of methyl orange degradation</title>
<p>Determining the kinetics of organic pollutant degradation and H<sub>2</sub>O<sub>2</sub> decomposition is a challenging task since numerous mechanisms can alter the apparent rate of the Fenton reaction (<xref ref-type="bibr" rid="B4">Bopda et al., 2022</xref>). To simplify, the Fenton process degradation reaction of an organic chemical can be characterized by a pseudo first-order kinetic rule (Eq. <xref ref-type="disp-formula" rid="e10">10a</xref>) that assumes a quasi-stationary concentration of hydroxyl radicals created in the medium.<disp-formula id="e10a">
<mml:math id="m11">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2192;</mml:mo>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>ln</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(10a)</label>
</disp-formula>
</p>
<p>The second-order kinetic model (Eq. <xref ref-type="disp-formula" rid="e11">11</xref>) was also used to describe the degradation of an organic dye by the Fenton process (<xref ref-type="bibr" rid="B25">Kenda et al., 2023</xref>):<disp-formula id="e11">
<mml:math id="m12">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2192;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>t</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(11)</label>
</disp-formula>
</p>
<p>The linear regression of the experimental points can be used to determine the kinetic rate constant by tracking the pollutant degradation over time. Only at the beginning of the reaction, before the substantial intermediates have formed, can the kinetic parameters be determined (<xref ref-type="bibr" rid="B33">Mafo et al., 2023</xref>):</p>
<p>The pseudo first- and pseudo second-order kinetics were studied, and the results are presented in <xref ref-type="fig" rid="F9">Figures 9</xref>, <xref ref-type="fig" rid="F10">10</xref>, respectively. <xref ref-type="table" rid="T8">Table 8</xref> presents the first- and second-order kinetic parameters. <xref ref-type="fig" rid="F9">Figure 9</xref> presents the pseudo first-order kinetic model applied to the degradation of methyl orange on ferromagnetic activated carbon.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Pseudo first-order kinetic model applied to the degradation of methyl orange on ferromagnetic activated carbon.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g009.tif"/>
</fig>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Pseudo second-order kinetic model applied to the degradation of methyl orange on the ferromagnetic activated carbon.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g010.tif"/>
</fig>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Kinetic parameters of methyl orange degradation.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Pseudo first-order</th>
<th colspan="4" align="center">Pseudo second-order</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">K (min<sup>&#x2212;1</sup>)</td>
<td align="center">t<sub>1/2</sub> (min)</td>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="center">K<sub>2</sub> (min<sup>&#x2212;1</sup>)</td>
<td align="center">t<sub>1/2</sub> (min)</td>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
</tr>
<tr>
<td align="center">0.0855</td>
<td align="center">8.07</td>
<td align="center">0.9361</td>
<td align="center">0.0281</td>
<td align="center">24.55</td>
<td align="center">0.699</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>As shown in <xref ref-type="table" rid="T8">Table 8</xref>, the pseudo first-order model best described the degradation kinetics of the methyl orange dye since the coefficient of determination was closest to unity (R<sup>2</sup> &#x3d; 0.936).</p>
</sec>
</sec>
<sec id="s3-5">
<title>3.5 Comparison with other catalysts</title>
<p>
<xref ref-type="table" rid="T9">Table 9</xref> presents data from the literature on the elimination of some dyes by different heterogeneous Fenton catalysts for comparison with those obtained with AC-PS@FeII. This experiment made it possible to have optimal degradation conditions, such as 200&#xa0;mg of ferromagnetic activated carbon, the concentration of the pollutant at 50&#xa0;mg/L, and pH &#x3d; 2&#xa0;at a contact time of 50&#xa0;min for a degradation rate of 99.22%.</p>
<table-wrap id="T9" position="float">
<label>TABLE 9</label>
<caption>
<p>Comparative results of dyes removed by various heterogeneous Fenton processes based on different media in recent years.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Material</th>
<th align="left">Dye</th>
<th align="left">Optimum dosage reaction condition</th>
<th align="left">Observation</th>
<th align="left">Reference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Fe@ACFs</td>
<td align="left">Reactive red M-3BE 50&#xa0;&#x3bc;M</td>
<td align="left">5&#xa0;g/L Fe@ACFs, 30&#xa0;mM of H<sub>2</sub>O<sub>2</sub>, pH &#x3d; 2.95, T &#x3d; 50&#xb0;C</td>
<td align="left">99.8% elimination in 30&#xa0;min</td>
<td align="left">
<xref ref-type="bibr" rid="B55">Yao et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Catalyst Fe/Ca</td>
<td align="left">Orange II 0.1&#xa0;mM</td>
<td align="left">0.1&#xa0;g. L<sup>-1</sup> of Fe/Ca and 6&#xa0;mM of H<sub>2</sub>O<sub>2</sub>, T &#x3d; 30&#xb0;C, and pH 3</td>
<td align="left">95% of degradation and 60% elimination of TOC in 5&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B15">Duarte et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Catalyst Fe/Ca</td>
<td align="left">Orange II 0.1&#xa0;mM</td>
<td align="left">0.1&#xa0;g&#xb7;L<sup>&#x2212;1</sup> of Fe/Ca, T &#x3d; 30&#xb0;C, pH &#x3d; 3</td>
<td align="left">90% of decoloration in 4&#xa0;h and 61% elimination of TOC in 24&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B15">Duarte et al. (2013)</xref>
</td>
</tr>
<tr>
<td align="left">Fe&#x2013;montmorillonite K10</td>
<td align="left">Acide Red 1 50&#xa0;mg&#xb7;L<sup>&#x2212;1</sup>
</td>
<td align="left">5&#xa0;g/L of Fe&#x2013;MK10 and 16&#xa0;mM of H<sub>2</sub>O<sub>2</sub>, pH &#x3d; 2.5</td>
<td align="left">99% of decoloration in 2&#xa0;h 30&#xa0;min</td>
<td align="left">
<xref ref-type="bibr" rid="B10">Daud et al. (2010)</xref>
</td>
</tr>
<tr>
<td align="left">Fe3&#x2013;xTixO4</td>
<td align="left">Methylene blue 100&#xa0;mg. L<sup>-1</sup>
</td>
<td align="left">3.0&#xa0;g&#xb7;L<sup>&#x2212;1</sup> of Fe<sub>2</sub>.<sub>22</sub>Ti0.<sub>78</sub>O<sub>4</sub> et 0.30&#xa0;mol. L<sup>-1</sup> of H<sub>2</sub>O<sub>2</sub>, pH 6.8</td>
<td align="left">95% of degradation in 7&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B54">Yang et al. (2009)</xref>
</td>
</tr>
<tr>
<td align="left">Catalyst Fe/Ca</td>
<td align="left">Orange II 0.1&#xa0;mM</td>
<td align="left">Ccat. &#x3d; 0.2&#xa0;g/L and 6&#xa0;mM of H<sub>2</sub>O<sub>2</sub>, T &#x3d; 30.8&#xb0;C, and pH 3.0</td>
<td align="left">&#x3e;95% of degradation in 3&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B45">Ramirez et al. (2007)</xref>
</td>
</tr>
<tr>
<td align="left">CA-FeOx 400/400</td>
<td align="left">Methylene blue 10&#xa0;mg&#xb7;L<sup>&#x2212;1</sup>
</td>
<td align="left">5&#xa0;g/L Ca-FeOx and 30&#xa0;mM of H<sub>2</sub>O<sub>2</sub> at pH &#x3d; 3.25</td>
<td align="left">&#x3e;95% of degradation in 6&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B17">Gloria (2010)</xref>
</td>
</tr>
<tr>
<td align="left">Catalyst CA-HP@FeII</td>
<td align="left">Brilliant blue 50&#xa0;mg&#xb7;L<sup>&#x2212;1</sup>
</td>
<td align="left">0.33&#xa0;g/L CA-HP@FeII, pH 2</td>
<td align="left">96% in degradation in 3&#xa0;h</td>
<td align="left">
<xref ref-type="bibr" rid="B34">Mazilu et al. (2017)</xref>
</td>
</tr>
<tr>
<td align="left">Catalyst AC-PS@FeII</td>
<td align="left">Methyl orange 50&#xa0;mg&#xb7;L<sup>&#x2212;1</sup>
</td>
<td align="left">0.2&#xa0;g/L AC-PS@FeII, pH 2</td>
<td align="left">99% of degradation in 50&#xa0;min</td>
<td align="left">Present work</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-6">
<title>3.6 Characterization of the material after degradation</title>
<p>After degradation, the exhausted material was analyzed to evaluate any chemical changes. <xref ref-type="fig" rid="F11">Figure 11A</xref> shows the results of the EDX analysis. These two figures show that the percentages of the elements are not identical. The change in the carbon percentage is from 42.54% to 49.85. The decrease in the percentage of iron is attributed to the reaction between iron and H<sub>2</sub>O<sub>2</sub> for the production of hydroxyl radicals in the medium for the elimination of methyl orange in an aqueous medium. The SEM analysis (<xref ref-type="fig" rid="F11">Figures 11A, B</xref>) shows that the two materials AC-PS@FeII-A and AC-PS@FeII-B have the same surfaces. This shows that the use of the CA-FeII material for water treatment does not affect surfaces too much, although the percentages of the elements are slightly modified.</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>SEM and EDX images of AC-PS@FeII (A) before and (B) after methyl orange degradation.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g011.tif"/>
</fig>
</sec>
<sec id="s3-7">
<title>3.7 Stability and reusability of the catalyst</title>
<p>The stability and reusability of the material are important factors in catalysis. The degradation of methyl orange was repeated four times using the same catalyst. The spent catalyst was recoverable using a simple magnet. The same degradation of methyl orange is observed without the loss of catalytic activity during the first two cycles and a slight loss of activity during the third and fourth cycles (<xref ref-type="fig" rid="F12">Figure 12</xref>). The stability and efficiency of the material (AC-PS@FeII) were substantially lost after the third cycle. This is attributed to the decrease in the reactive iron content.</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Four cycles of MO degradation by AC-PS@FeII</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g012.tif"/>
</fig>
</sec>
<sec id="s3-8">
<title>3.8 Mechanism of degradation of methyl orange</title>
<p>The reaction pathway (<xref ref-type="fig" rid="F13">Figure 13</xref>) shows the proposed reaction mechanism for the Fenton process elimination of methyl orange from the aqueous solution:</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Degradation mechanism of methyl orange.</p>
</caption>
<graphic xlink:href="fenvc-05-1375705-g013.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F13">Figure 13</xref> shows the degradation pathway of methyl orange by the Fenton process, showing the formation of intermediates during the degradation process. The process included the following steps: step 1 shows that methyl orange degradation occurs through the cleavage of the azo group connecting two aromatic rings. The azo group&#x2014;N&#x3d;N&#x2014;can convert to amines when adsorbed on the iron surface; step 2 shows two compounds that can correspond to benzenesulfonic acid and aniline; step 3 corresponds to the formation of benzene and phenol. This shows that benzene can be a stable intermediate during the reaction; and step 4 shows the formation of CO<sub>2</sub> and H<sub>2</sub>O, confirming the complete degradation of the dye. The mechanism is consistent with that described by <xref ref-type="bibr" rid="B18">Gomathi Devi et al. (2008)</xref>. However, in the absence of mass spectrometry data for the identification of intermediates, the mechanism could not be validated.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>The objective of the present work was to prepare a ferromagnetic activated carbon from PSs for the Fenton-type degradation of MO with optimized textural properties and corresponding synthesis conditions. Based on the iodine indexes, KOH-activated carbon adsorbents exhibited higher porosity than the H<sub>3</sub>PO<sub>4</sub>-activated counterparts. The physicochemical characterizations of the pristine activated carbon (AC-PS) and the ferromagnetic activated carbon (AC-PS@FeII) showed a decrease in the surface area and pore volume due to the precipitation of magnetite particles. Heterogeneous Fenton catalytic degradation of MO using AC-PS@FeII exhibited higher degradation capability than adsorption using AC-PS and iron nanoparticles. The influence of parameters such as catalyst mass, pH, contact time, and pollutant concentration was studied, and the degradation experiment was optimized using RSM design. The optimal degradation conditions were as follows: 0.2 g/50&#xa0;mL of AC-PS@FeII, the concentration of the pollutant at 50&#xa0;mg/L, and pH &#x3d; 2 at a contact time of 50&#xa0;min for a degradation rate of 99.22%. The results of recyclability revealed a slight decrease in degradation capacity after four cycles, which showed that AC-PS@FeII is a potential candidate as a hetero-Fenton catalyst for water treatment.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>JN: project administration, resources, and writing&#x2013;review and editing. JM: formal analysis, methodology, software, validation, visualization, and writing&#x2013;review and editing. DT: data curation, formal analysis, software, visualization, and writing&#x2013;review and editing. SM: visualization, software, and writing&#x2013;original draft. CF: conceptualization, methodology, validation, visualization, and writing&#x2013;review and editing. MC: data curation, formal analysis, software, and writing&#x2013;review and editing. PT: conceptualization, supervision, validation, visualization, writing&#x2013;original draft, and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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