<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    msa
   </journal-id>
   <journal-title-group>
    <journal-title>
     Materials Sciences and Applications
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2153-117X
   </issn>
   <issn publication-format="print">
    2153-1188
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/msa.2024.1511036
   </article-id>
   <article-id pub-id-type="publisher-id">
    msa-137683
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Chemistry 
     </subject>
     <subject>
       Materials Science
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    Study of the Influence of Clay in the Degradation of Methylene Blue by Photo-Fenton Process
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Namory
      </surname>
      <given-names>
       Méité
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Lébé Prisca Marie-Sandrine
      </surname>
      <given-names>
       Kouakou
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Alfred Niamien
      </surname>
      <given-names>
       Kouamé
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Aliou Guillaume Lemeyonouin
      </surname>
      <given-names>
       Pohan
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Issiaka
      </surname>
      <given-names>
       Sanou
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff3"> 
      <sup>3</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Gaoussou
      </surname>
      <given-names>
       Cissé
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff4"> 
      <sup>4</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Christelle Adja
      </surname>
      <given-names>
       Kouakou
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Yao Jonas
      </surname>
      <given-names>
       Andji-Yapi
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aLaboratoire de Constitution et Réaction de la Matière (LCRM), UFR-Science des Structures de la Matière et Technologie (SSMT), Université Félix Houphouët-Boigny (UFHB), Abidjan, Côte d’Ivoire
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aDepartement de Mathématiques, Physique et Chimie, UFR des Sciences Biologiques, Université Pelefero Gon Coulibaly, Korhogo, Côte d’Ivoire
    </addr-line> 
   </aff> 
   <aff id="aff3">
    <addr-line>
     aUnité de Formation et de Recherche en Sciences Exactes et Appliquées (UFR/SEA), Laboratoire de Chimie et Energies Renouvelables (LaCER), Université Nazi BONI, Bobo-Dioulasso, Burkina Faso
    </addr-line> 
   </aff> 
   <aff id="aff4">
    <addr-line>
     aInstitut National Polytechnique Houphouët Boigny (INP-HB) de Yamoussoukro, Yamoussoukro, Côte d’Ivoire
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     18
    </day> 
    <month>
     11
    </month>
    <year>
     2024
    </year>
   </pub-date> 
   <volume>
    15
   </volume> 
   <issue>
    11
   </issue>
   <fpage>
    538
   </fpage>
   <lpage>
    557
   </lpage>
   <history>
    <date date-type="received">
     <day>
      22,
     </day>
     <month>
      June
     </month>
     <year>
      2024
     </year>
    </date>
    <date date-type="published">
     <day>
      24,
     </day>
     <month>
      June
     </month>
     <year>
      2024
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      24,
     </day>
     <month>
      November
     </month>
     <year>
      2024
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    Industrial effluents from textile, tannery or printing activities often have a significant pollutant load composed of dyes that are difficult to biodegrade. These dyes pose a threat to the environment. To overcome this problem, various processes have been developed to eliminate these dyes in wastewater before their release into nature. Conventional biological or physical processes most often prove to be ineffective and expensive. It is therefore necessary to resort to other processes such as advanced oxidation processes (POA). This work therefore focuses on the study of the influence of clay in the degradation of Methylene Blue by the photo-Fenton process which is one of the advanced oxidation processes (POA), with the source of irradiation, natural light. To do this, two clays from Côte d’Ivoire referenced AB and Aga were the subject of a physicochemical and mineralogical characterization. The results showed that Aga clay is composed of 75.43% quartz, 12.72% kaolinite, 8.75% illite and 3.12% goethite and AB clay consists of 61, 36% kaolinite, 28.6% quartz and 10.10% illite. Under natural light irradiation the optimal amounts of Fenton reagents (iron: 10 mg; H
    <sub>2</sub>O
    <sub>2</sub>: 0.1 mL) were determined. Finally, the addition of clay to the photo-Fenton process made it possible to improve the degradation of the pollutant (Methylene Blue). Indeed, the yield increased from 92% for the photo-Fenton process to 98.43% with the addition of AB clay and 98.13% for the addition of Aga clay. The results of the degradation kinetics clearly show that the degradation follows the pseudo-second order kinetics with correlation coefficients greater than 0.99.
   </abstract>
   <kwd-group> 
    <kwd>
     Methylene Blue
    </kwd> 
    <kwd>
      Clay
    </kwd> 
    <kwd>
      Photo-Fenton
    </kwd> 
    <kwd>
      Pollutant
    </kwd> 
    <kwd>
      Degradation
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>The expansion of the industrial sector has been accompanied by a phenomenon of water pollution due to the accumulation of pollutants in wastewater from industries such as textiles, paper, cosmetics, rubber and plastics. These pollutants include Methylene Blue (MB), a basic dye, which is most commonly used in the dyeing of cotton, wood, silk and paper <xref ref-type="bibr" rid="scirp.137683-1">
     [1]
    </xref>. It provides vivid colors, has excellent color fastness and is easy to apply. Unfortunately, most dyes are persistent in receiving environments and have harmful effects on the environment and human health. Their elimination of wastewater is therefore essential. To this end, several physical, chemical and biological processes have been developed to eliminate or destroy these pollutants from industrial effluents. Among these processes, we can cite coagulation-flocculation, adsorption, membrane separation, etc. <xref ref-type="bibr" rid="scirp.137683-2">
     [2]
    </xref>. However, some of these methods have revealed limits linked, on the one hand, to the production of toxic by-products and, on the other hand, to the financial cost of implementation. These limitations make these methods inaccessible <xref ref-type="bibr" rid="scirp.137683-3">
     [3]
    </xref> <xref ref-type="bibr" rid="scirp.137683-4">
     [4]
    </xref>. Thus, advanced oxidation processes appear as alternative processes for the treatment of wastewater. Their aim is to achieve almost total mineralization of water loaded with pollutants. As part of our study, the choice fell on the photo-Fenton process. The two reagents in this process, hydrogen peroxide and iron salt, are available, inexpensive and pose no danger to the environment. This process will be associated with natural resources such as clay and natural light. Due to its adsorbent power, clay traps dyes. In fact, clay is a natural material with absorbent properties, it is inexpensive and widespread over most of the Ivorian territory. It has a set of very small particles having less than 2 µm in apparent diameter, which in contact with water slide over each other to account for the phenomenon of plasticity. Natural light available throughout the year with variable intensities can constitute an alternative source that is usable especially in developing countries. Indeed, this source of renewable energy is free and inexhaustible, it is by far the most abundant energy on earth. With the aim of valorizing clays, this work aims to study the elimination of Methylene Blue by the photo-Fenton process associated with clay.</p>
  </sec><sec id="s2">
   <title>2. Raw Materials and Experimental Techniques</title>
   <sec id="s2_1">
    <title>2.1. Clay Raw Materials</title>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>Two clay raw materials are used in this study, “Aga” clay was taken from the town of Gagnoa located in the Center-West of Côte d’Ivoire, the sampling site coordinates of 6˚07'37.6'N, 5˚56'15.0'W. The second sample noted “AB” comes from the Akouai-Agban deposit, in the suburbs of the town of Bingerville on the lagoon shore in the south of Côte d’Ivoire, the coordinates of the sampling site are 5˚16'12, 883844N, 3˚53'23.325'W. These samples are presented in <xref ref-type="fig" rid="fig1">
      Figure 1
     </xref>.</p>
    <fig id="fig1" position="float">
     <label>Figure 1</label>
     <caption>
      <title>Figure 1. Images of Aga and AB clays.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId12.jpeg?20241127022251" />
    </fig>
   </sec>
   <sec id="s2_2">
    <title>2.2. Methods</title>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The solution to be treated (from BM) was prepared by introducing 0.0125 g of Methylene Blue powder into a 250 mL volumetric flask containing distilled water which was made up to the mark (i.e., a solution concentration 0.05 g/L). The mixture obtained was homogenized by stirring using a magnetic bar for thirty minutes (30 min).</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>During this process, the MB solution is subjected to a treatment of hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>) and ferrous iron (Fe<sup>2+</sup>) in the presence of light in order to find the optimal concentrations of H<sub>2</sub>O<sub>2</sub> and ferrous iron Fe<sup>2+</sup>. The whole is placed on a magnetic stirrer at a moderate speed allowing its permanent homogenization via a magnetic bar immersed in it. A manual sample of 2 mL to be taken every 15 minutes for 2 hours using 5 mL syringes. The samples are analyzed using a UV-Visible spectrophotometer. During this approach, to study the influence of clay on the degradation of Methylene Blue by the photo-Fenton process, the optimal concentrations of hydrogen peroxide (H<sub>2</sub>O<sub>2</sub>) and ferrous iron are added to the BM solution. (Fe<sup>2+</sup>) previously determined by the photo-Fenton process. In the entire mixture, we vary a quantity of clay from 0.05 g to 0.2 g. Everything is placed on a magnetic stirrer at a moderate speed allowing its permanent homogenization via a magnetic bar immersed in it. The sampling and analysis of the homogenized solution follow the approach described above.</p>
   </sec>
   <sec id="s2_3">
    <title>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>2.3. Experimental Techniques</title>
    <p>The isoelectric point or pH at the point of zero charge is the parameter which corresponds to the pH for which the surface of the solid presents a zero charge <xref ref-type="bibr" rid="scirp.137683-5">
      [5]
     </xref>. To determine the pH at the point of zero charge of the clays used in this work, the method of Lopez-Ramon et al. taken from the thesis of N’guessan was used <xref ref-type="bibr" rid="scirp.137683-6">
      [6]
     </xref> <xref ref-type="bibr" rid="scirp.137683-7">
      [7]
     </xref>. Solutions of 0.1 mol·L<sup>−</sup><sup>1</sup> of NaCl and pH between 2 and 10 (adjusted by adding an aqueous solution of NaOH or H<sub>2</sub>SO<sub>4</sub>) were first prepared. The HI 2211 pH meter was used for pH measurement. 0.1 g of the different dried clays is brought into contact with 20 mL of each of the solutions contained in beakers. The solutions are stirred for 3 days at room temperature. Each solution is then filtered using filter paper (Double Rings Filter Paper) and a new pH measurement is carried out. We draw the curve C representing the final pH as a function of the initial pH. The pH<sub>PZC</sub> then corresponds to the pH of the solution for which the curve C crosses the first bisector (final pH = initial pH).</p>
    <p>The aim of this technique is to determine the chemical composition of the clay sample using the ICP-AES (Industively Coupled Plasma-Atomic Emission Spectromely) Plasma Emission Spectrometer <xref ref-type="bibr" rid="scirp.137683-8">
      [8]
     </xref>. The sample to be characterized was put into solution and converted into an aerosol, then vaporized, atomized, excited and/or ionized. To do this, 30 mg of each sample is dried at 110˚C for 24 hours in a Teflon tube and the whole is introduced into a microwave device (CEM, MARCH 5).</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>X-ray diffraction is an analysis method that makes it possible to identify the main crystallized mineral phases present in the material. The X-ray diffraction patterns are obtained using a Bruker D8 Advance type device equipped with a copper anticathode (λ = 1.54 Ǻ).</p>
    <p>Infrared spectroscopy is a technique for studying the nature and local environment of chemical bonds. It allows the determination of the functional group present in the material. There are three distinguished areas (near infrared, mid infrared and far infrared). For our study, the IR spectra was carried out in the mid-infrared domain using two spectrometers (Fourier Transform spectrometer (Tensor 27 Golden Gate Single) and Elmer Spectrum 1000 Fourier Transform spectrometer.</p>
    <p>Spectrophotometry is a quantitative analytical technique, which consists of measuring the absorbance or optical density of a given chemical substance in solution. The rate of decrease in light intensity as a function of the thickness of the absorbing medium is given by the Beer-Lambert law according to the equation (Equation (1)):</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         A 
       </mi> 
       <mo>
         = 
       </mo> 
       <mi>
         log 
       </mi> 
       <mfrac> 
        <mrow> 
         <msub> 
          <mi>
            I 
          </mi> 
          <mn>
            0 
          </mn> 
         </msub> 
        </mrow> 
        <mi>
          I 
        </mi> 
       </mfrac> 
       <mo>
         = 
       </mo> 
       <mi>
         ε 
       </mi> 
       <mo>
         ⋅ 
       </mo> 
       <mi>
         l 
       </mi> 
       <mo>
         ⋅ 
       </mo> 
       <mi>
         C 
       </mi> 
      </mrow> 
     </math> (1)</p>
    <p>With:</p>
    <p>I<sub>0</sub>: initial intensity of the light passed through; I: intensity of transmitted light; A: absorbance; C: concentration of absorbent species (mol·L<sup>−</sup><sup>1</sup>); l: optical path length in the solution (cm); ε: molecular absorption coefficient (L·mol<sup>−</sup><sup>1</sup>·cm<sup>−</sup><sup>1</sup>).</p>
    <p>The aqueous BM solution was prepared by dissolving powdered BM in distilled water. The maximum absorption wavelength (λ<sub>max</sub>) was obtained by scanning the λ between 200 and 800 nm. The peak of our dye is obtained at 663.1 nm. In order to obtain the MB calibration curve we prepared a stock solution with a concentration of 50 mg·L<sup>−</sup><sup>1</sup>. From the stock solution we determined the concentrations (1, 2, 3, 4, 5 mg·L<sup>−</sup><sup>1</sup>). These will subsequently be analyzed by UV-visible spectrophotometry. <xref ref-type="fig" rid="fig2">
      Figure 2
     </xref> shows the BM calibration curve. The curve is linear over the interval of chosen concentrations, therefore the Beer-Lambert law is verified for this concentration range.</p>
    <fig id="fig2" position="float">
     <label>Figure 2</label>
     <caption>
      <title>Figure 2. Calibration curve obtained for the determination of Methylene Blue by UV/Visible.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId15.jpeg?20241127022255" />
    </fig>
    <p>The percentage of dye degradation was calculated using the equation (Equation (2)):</p>
    <p>
     <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msub> 
        <mi>
          q 
        </mi> 
        <mi>
          e 
        </mi> 
       </msub> 
       <mo>
         = 
       </mo> 
       <mfrac> 
        <mi>
          V 
        </mi> 
        <mi>
          m 
        </mi> 
       </mfrac> 
       <mo>
         × 
       </mo> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mrow> 
         <msub> 
          <mi>
            C 
          </mi> 
          <mn>
            0 
          </mn> 
         </msub> 
         <mo>
           − 
         </mo> 
         <msub> 
          <mi>
            C 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
        </mrow> 
        <mo>
          ) 
        </mo> 
       </mrow> 
      </mrow> 
     </math> (2)</p>
    <p>
     <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         E 
       </mi> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mi>
          % 
        </mi> 
        <mo>
          ) 
        </mo> 
       </mrow> 
       <mo>
         = 
       </mo> 
       <mfrac> 
        <mrow> 
         <msub> 
          <mi>
            C 
          </mi> 
          <mn>
            0 
          </mn> 
         </msub> 
         <mo>
           − 
         </mo> 
         <msub> 
          <mi>
            C 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
        </mrow> 
        <mrow> 
         <msub> 
          <mi>
            C 
          </mi> 
          <mn>
            0 
          </mn> 
         </msub> 
        </mrow> 
       </mfrac> 
       <mo>
         × 
       </mo> 
       <mn>
         100 
       </mn> 
      </mrow> 
     </math> (3)</p>
    <p>q<sub>e</sub>: the quantity adsorbed per unit of clay (mg·g<sup>−</sup><sup>1</sup>); V: volume of MB solution (mL); m: the mass of the clay (g); C<sub>0</sub>: the initial concentration of BM (mg·L<sup>−</sup><sup>1</sup>); C<sub>e</sub>: the equilibrium concentration of BM (mg·L<sup>−</sup><sup>1</sup>); E: MB elimination rate (%).</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>Several kinetic models have been used to interpret the experimental data <xref ref-type="bibr" rid="scirp.137683-9">
      [9]
     </xref>. The two commonly used kinetics models are: the pseudo-first-order model (PPO), the pseudo-second-order model (PSO).</p>
    <p>1) Pseudo-first order model</p>
    <p>Lagergren proposed a pseudo-first order kinetic model expressed by the following relation <xref ref-type="bibr" rid="scirp.137683-9">
      [9]
     </xref> (Equation (4)):</p>
    <p>
     <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mfrac> 
        <mrow> 
         <mtext>
           d 
         </mtext> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
        <mrow> 
         <mtext>
           d 
         </mtext> 
         <mi>
           t 
         </mi> 
        </mrow> 
       </mfrac> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          k 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mrow> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
         <mo>
           − 
         </mo> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
        <mo>
          ) 
        </mo> 
       </mrow> 
      </mrow> 
     </math> (4)</p>
    <p>with k<sub>1</sub> the rate constant for pseudo first order kinetics (min<sup>−</sup><sup>1</sup>), t the contact time (min), q<sub>t</sub> and q<sub>e</sub> the adsorption capacities at time t (mg of adsorbat·g<sup>−</sup><sup>1</sup> of adsorbent) and at equilibrium (mg of adsorbat·g<sup>−</sup><sup>1</sup> of adsorbent), respectively. L’intégration de l’équation (Equation (4)) donne:</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         ln 
       </mi> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mrow> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
         <mo>
           − 
         </mo> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
        <mo>
          ) 
        </mo> 
       </mrow> 
       <mo>
         = 
       </mo> 
       <mi>
         ln 
       </mi> 
       <msub> 
        <mi>
          q 
        </mi> 
        <mi>
          e 
        </mi> 
       </msub> 
       <msub> 
        <mi>
          k 
        </mi> 
        <mn>
          1 
        </mn> 
       </msub> 
       <mi>
         t 
       </mi> 
      </mrow> 
     </math> (5)</p>
    <p>The value of k<sub>1</sub> is obtained from the slope of the linear plot of 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mi>
         ln 
       </mi> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mrow> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
         <mo>
           − 
         </mo> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
        <mo>
          ) 
        </mo> 
       </mrow> 
       <mo>
         = 
       </mo> 
       <mi>
         f 
       </mi> 
       <mrow> 
        <mo>
          ( 
        </mo> 
        <mi>
          t 
        </mi> 
        <mo>
          ) 
        </mo> 
       </mrow> 
      </mrow> 
     </math>.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>2) Pseudo-second order model</p>
    <p>An expression also very often used is that of pseudo-second order. It is represented by the formula (Equation (6)) <xref ref-type="bibr" rid="scirp.137683-10">
      [10]
     </xref>:</p>
    <p>
     <math xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mfrac> 
        <mrow> 
         <mtext>
           d 
         </mtext> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
        <mrow> 
         <mtext>
           d 
         </mtext> 
         <mi>
           t 
         </mi> 
        </mrow> 
       </mfrac> 
       <mo>
         = 
       </mo> 
       <msub> 
        <mi>
          k 
        </mi> 
        <mn>
          2 
        </mn> 
       </msub> 
       <msup> 
        <mrow> 
         <mrow> 
          <mo>
            ( 
          </mo> 
          <mrow> 
           <msub> 
            <mi>
              q 
            </mi> 
            <mi>
              e 
            </mi> 
           </msub> 
           <mo>
             − 
           </mo> 
           <msub> 
            <mi>
              q 
            </mi> 
            <mi>
              t 
            </mi> 
           </msub> 
          </mrow> 
          <mo>
            ) 
          </mo> 
         </mrow> 
        </mrow> 
        <mn>
          2 
        </mn> 
       </msup> 
      </mrow> 
     </math> (6)</p>
    <p>With k<sub>2</sub> the rate constant for second order kinetics (g·mg<sup>−</sup><sup>1</sup>·min<sup>−</sup><sup>1</sup>), q<sub>t</sub> and q<sub>e</sub> the adsorption capacities at time t (mg of adsorbate·g<sup>−</sup><sup>1</sup> of adsorbent) and at equilibrium (mg of adsorbate·g<sup>−</sup><sup>1</sup> of adsorbent), respectively. The integration of equation (Equation (6)) leads to (Equation (7)):</p>
    <p>
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mfrac> 
        <mi>
          t 
        </mi> 
        <mrow> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            t 
          </mi> 
         </msub> 
        </mrow> 
       </mfrac> 
       <mo>
         = 
       </mo> 
       <mfrac> 
        <mi>
          t 
        </mi> 
        <mrow> 
         <msub> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
         </msub> 
        </mrow> 
       </mfrac> 
       <mo>
         + 
       </mo> 
       <mfrac> 
        <mn>
          1 
        </mn> 
        <mrow> 
         <msub> 
          <mi>
            k 
          </mi> 
          <mn>
            2 
          </mn> 
         </msub> 
         <mo>
           ⋅ 
         </mo> 
         <msubsup> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
          <mn>
            2 
          </mn> 
         </msubsup> 
        </mrow> 
       </mfrac> 
      </mrow> 
     </math> (7)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The pseudo-second order model is verified when the plot against t gives a linear relationship, with a slope equal to ( 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <mfrac> 
        <mn>
          1 
        </mn> 
        <mrow> 
         <msub> 
          <mi>
            k 
          </mi> 
          <mn>
            2 
          </mn> 
         </msub> 
         <mo>
           ⋅ 
         </mo> 
         <msubsup> 
          <mi>
            q 
          </mi> 
          <mi>
            e 
          </mi> 
          <mn>
            2 
          </mn> 
         </msubsup> 
        </mrow> 
       </mfrac> 
      </mrow> 
     </math>).</p>
   </sec>
  </sec><sec id="s3">
   <title>
    <xref ref-type="bibr" rid="scirp.137683-"></xref>3. Results and Discussion</title>
   <sec id="s3_1">
    <title>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>3.1. Results</title>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>1) pH at point of zero charge (pH<sub>PZC</sub>)</p>
    <p>The pH<sub>PZC</sub> curves were obtained according to our experimental procedure described previously. <xref ref-type="fig" rid="fig3">
      Figure 3
     </xref> shows that the pHs of zero charge (pH<sub>PZC</sub>) are 5.5 for AB clay and 6.08 for Aga clay. Both clays have a slightly acidic pH<sub>PZC</sub>.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The curves made it possible to determine the pH<sub>PZC</sub> of the different clays. This value is 5.5 for AB and 6.08 for Aga. At pH &lt; pH<sub>PZC</sub>, the surface of the clay acquires positive charges. There will, therefore, be an excess of H<sup>+</sup> ions which will compete with the cations of the dye to access the clay adsorption sites <xref ref-type="bibr" rid="scirp.137683-11">
      [11]
     </xref>. Electrostatic repulsion causes a decrease in the amount of dye absorption. At pH &gt; pH<sub>PZC</sub> values, the surface of the clay will be negatively charged facilitating an association between the cationic dye <xref ref-type="bibr" rid="scirp.137683-12">
      [12]
     </xref>. The pH of the BM solution is 7 higher than the pH at the zero charge point of the clays, so the pH of the solution will be used for the rest of our work.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <fig id="fig3" position="float">
     <label>Figure 3</label>
     <caption>
      <title>Figure 3. Determination of pH<sub>PZC</sub> of AB and Aga clays.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId32.jpeg?20241127022256" />
    </fig>
    <p>2) Chemical analysis</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The chemical analysis of AB and Aga clays was carried out by ICP-AES Plasma Emission spectrometry after chemical solution using a microwave. The chemical composition expressed as oxide is given in <xref ref-type="table" rid="table1">
      Table 1
     </xref>. The results show a predominance of silica (SiO<sub>2</sub>) and alumina (Al<sub>2</sub>O<sub>3</sub>) in the two raw materials. Potassium, sodium and titanium oxides are also present in relatively small quantities. Calcium and manganese are found in trace amounts in clays. These high contents of SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub> show that they are aluminosilicates <xref ref-type="bibr" rid="scirp.137683-13">
      [13]
     </xref>. The silica/alumina ratio (SiO<sub>2</sub>/Al<sub>2</sub>O<sub>3</sub>) is 10.44 for Aga and 2.18 for AB. This ratio is high in both samples instead of 1.18 for pure kaolins <xref ref-type="bibr" rid="scirp.137683-14">
      [14]
     </xref>. These high values suggest the presence of a large amount of free silica and type 2/1 clay.</p>
    <table-wrap id="table1">
     <label>
      <xref ref-type="table" rid="table1">
       Table 1
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 1. Chemical composition of clay (% by mass of oxide).</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="12.94%"><p style="text-align:center">Samples</p></td> 
       <td class="custom-bottom-td acenter" width="10.23%"><p style="text-align:center">SiO<sub>2</sub></p></td> 
       <td class="custom-bottom-td acenter" width="10.25%"><p style="text-align:center">Al<sub>2</sub>O<sub>3</sub></p></td> 
       <td class="custom-bottom-td acenter" width="10.25%"><p style="text-align:center">Fe<sub>2</sub>O<sub>3</sub></p></td> 
       <td class="custom-bottom-td acenter" width="10.23%"><p style="text-align:center">K<sub>2</sub>O</p></td> 
       <td class="custom-bottom-td acenter" width="10.25%"><p style="text-align:center">TiO<sub>2</sub></p></td> 
       <td class="custom-bottom-td acenter" width="10.25%"><p style="text-align:center">Na<sub>2</sub>O</p></td> 
       <td class="custom-bottom-td acenter" width="13.97%"><p style="text-align:center">S<sub>i</sub>O<sub>2</sub>/Al<sub>2</sub>O<sub>3</sub></p></td> 
       <td class="custom-bottom-td acenter" width="11.63%"><p style="text-align:center">Total</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="12.94%"><p style="text-align:center">AB</p></td> 
       <td class="custom-top-td acenter" width="10.23%"><p style="text-align:center">62.40</p></td> 
       <td class="custom-top-td acenter" width="10.25%"><p style="text-align:center">28.60</p></td> 
       <td class="custom-top-td acenter" width="10.25%"><p style="text-align:center">3.20</p></td> 
       <td class="custom-top-td acenter" width="10.23%"><p style="text-align:center">1.30</p></td> 
       <td class="custom-top-td acenter" width="10.25%"><p style="text-align:center">0.90</p></td> 
       <td class="custom-top-td acenter" width="10.25%"><p style="text-align:center">0.80</p></td> 
       <td class="custom-top-td acenter" width="13.97%"><p style="text-align:center">2.18</p></td> 
       <td class="custom-top-td acenter" width="11.63%"><p style="text-align:center">97.20</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="12.94%"><p style="text-align:center">Aga</p></td> 
       <td class="acenter" width="10.23%"><p style="text-align:center">86.92</p></td> 
       <td class="acenter" width="10.25%"><p style="text-align:center">8.32</p></td> 
       <td class="acenter" width="10.25%"><p style="text-align:center">2.81</p></td> 
       <td class="acenter" width="10.23%"><p style="text-align:center">1.01</p></td> 
       <td class="acenter" width="10.25%"><p style="text-align:center">0.74</p></td> 
       <td class="acenter" width="10.25%"><p style="text-align:center">0.19</p></td> 
       <td class="acenter" width="13.97%"><p style="text-align:center">10.44</p></td> 
       <td class="acenter" width="11.63%"><p style="text-align:center">99.99</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <p>3) X-ray diffraction</p>
    <p>The X-ray diffractograms of the two samples AB and Aga are shown in <xref ref-type="fig" rid="fig4">
      Figure 4
     </xref>. All peaks have been assigned. The X-ray spectrum of Aga clay highlights the characteristic lines of kaolinite (12˚; 20˚; 25˚; 35˚), illite (37˚), quartz (20˚; 26˚; 45˚; 50˚) and goethite (41˚). The diffractogram of AB presents the lines of kaolinite (12˚; 25˚; 35˚), quartz (26˚; 36˚; 50˚) and illite (9˚; 19.70˚; 29.36˚) <xref ref-type="bibr" rid="scirp.137683-15">
      [15]
     </xref>.</p>
    <p>The results obtained in XRD are consistent with those of the chemical analysis.</p>
    <fig id="fig4" position="float">
     <label>Figure 4</label>
     <caption>
      <title>Figure 4. Diffractograms of clays: (a) Aga and (b) AB.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId33.jpeg?20241127022256" />
    </fig>
    <p>4) Mineralogical composition</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The mineralogical composition of AB and Aga clays was estimated from the chemical analysis and the chemical composition of the mineralogical phases detected by X-ray diffraction. The results obtained are recorded in <xref ref-type="table" rid="table2">
      Table 2
     </xref>.</p>
    <table-wrap id="table2">
     <label>
      <xref ref-type="table" rid="table2">
       Table 2
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 2. Mineralogical compositions.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="16.66%"><p style="text-align:center">Samples (%)</p></td> 
       <td class="custom-bottom-td acenter" width="16.66%"><p style="text-align:center">Kaolinite</p></td> 
       <td class="custom-bottom-td acenter" width="16.66%"><p style="text-align:center">Quartz</p></td> 
       <td class="custom-bottom-td acenter" width="16.66%"><p style="text-align:center">Illite</p></td> 
       <td class="custom-bottom-td acenter" width="16.66%"><p style="text-align:center">Goethite</p></td> 
       <td class="custom-bottom-td acenter" width="16.68%"><p style="text-align:center">Total</p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="16.66%"><p style="text-align:center">AB</p></td> 
       <td class="custom-top-td acenter" width="16.66%"><p style="text-align:center">61.36</p></td> 
       <td class="custom-top-td acenter" width="16.66%"><p style="text-align:center">28.60</p></td> 
       <td class="custom-top-td acenter" width="16.66%"><p style="text-align:center">10.10</p></td> 
       <td class="custom-top-td acenter" width="16.66%"><p style="text-align:center">-</p></td> 
       <td class="custom-top-td acenter" width="16.68%"><p style="text-align:center">100.05</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="16.66%"><p style="text-align:center">Aga</p></td> 
       <td class="acenter" width="16.66%"><p style="text-align:center">12.72</p></td> 
       <td class="acenter" width="16.66%"><p style="text-align:center">75.43</p></td> 
       <td class="acenter" width="16.66%"><p style="text-align:center">8.75</p></td> 
       <td class="acenter" width="16.66%"><p style="text-align:center">3.12</p></td> 
       <td class="acenter" width="16.68%"><p style="text-align:center">100.02</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <p>5) Infrared spectroscopy</p>
    <p>The infrared spectra of Aga clay and AB clay are shown in <xref ref-type="fig" rid="fig5">
      Figure 5
     </xref>. In the 3000 - 4000 cm<sup>−</sup><sup>1</sup> range, the following are observed:</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <fig id="fig5" position="float">
     <label>Figure 5</label>
     <caption>
      <title>Figure 5. Infrared spectra of clays: (a) AB and (b) Aga.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId34.jpeg?20241127022257" />
    </fig>
    <p>For the Aga and AB samples, bands at (3700 cm<sup>−</sup><sup>1</sup> and 3624 cm<sup>−</sup><sup>1</sup>) and (3695 cm<sup>−</sup><sup>1</sup> and 3619 cm<sup>−</sup><sup>1</sup>) which are characteristic of kaolinite due to stretching vibrations of the hydroxyl groups <xref ref-type="bibr" rid="scirp.137683-16">
      [16]
     </xref> <xref ref-type="bibr" rid="scirp.137683-17">
      [17]
     </xref>. The band at 3700 cm<sup>−</sup><sup>1</sup> in particular corresponds to the vibrations of the external hydroxyls of the kaolinite and that at 3624 cm<sup>−</sup><sup>1</sup> to the vibrations of the internal hydroxyls located between the layers. This same band at 3624 cm<sup>−</sup><sup>1</sup> is also characteristic of the stretching vibration of the OH bond of the mainly Al-OH-Al network of illite. These bands have been the subject of several studies. The band at 3695 cm<sup>−</sup><sup>1</sup> is attributed to the hydroxyls at the edges of the sheet. The one located at 3619 cm<sup>−</sup><sup>1</sup> is linked to the internal hydroxyls.</p>
    <p>In the range 400 - 1800 cm<sup>−</sup><sup>1</sup>:</p>
    <p>For Aga clay:</p>
    <p>For AB clay:</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>1) Effect of hydrogen peroxide</p>
    <p>All experiments were carried out under daylight irradiation. To study the action of hydrogen peroxide on the degradation of Methylene Blue, it is important to determine the optimal quantity of H<sub>2</sub>O<sub>2</sub> necessary for maximum degradation of the dye. To do this, 20 mg of ferrous iron was fixed, then the quantity of H<sub>2</sub>O<sub>2</sub> (30%) was varied in steps of 0.1 mL in an interval of 0.1 mL to 0.5 mL, for a solution of BM concentration 50 mg·L<sup>−</sup><sup>1</sup>. <xref ref-type="fig" rid="fig6">
      Figure 6
     </xref> shows the different yields for each quantity of H<sub>2</sub>O<sub>2</sub> after 2 hours.</p>
    <p>The degradation rate of MB reached more than 90% after 120 minutes of reaction. The optimal quantity of H<sub>2</sub>O<sub>2</sub> retained for the degradation of MB is 0.1 mL because it makes it possible to obtain a satisfactory rate for a small quantity of reagent.</p>
    <fig id="fig6" position="float">
     <label>Figure 6</label>
     <caption>
      <title>Figure 6. Effect of hydrogen peroxide.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId35.jpeg?20241127022257" />
    </fig>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>2) Kinetics of MB degradation by hydrogen peroxide</p>
    <p>The pseudo-first order and pseudo-second order kinetic laws were investigated in this study.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The plot of ln(q<sub>e</sub> − q<sub>t</sub>) as a function of time t for the degradation of MB by hydrogen peroxide gives linear shapes (<xref ref-type="fig" rid="fig7">
      Figure 7
     </xref>).</p>
    <p>The values of k<sub>1</sub> were calculated from the slopes of these lines, and q<sub>e</sub>,<sub>cal</sub> from the ordinate at the origin. The kinetic constant of the pseudo-first-order degradation reaction k<sub>1</sub>, the quantity of MB adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are shown in <xref ref-type="table" rid="table3">
      Table 3
     </xref>. The results in <xref ref-type="table" rid="table3">
      Table 3
     </xref> show that the correlation coefficients obtained are 0.4308 for 0.2 mL and 0.1227 for the quantity of 0.5 mL. Despite the high correlation coefficient values, the experimental q<sub>e</sub> do not agree with the q<sub>e</sub> calculated from linearized forms of pseudo-first order kinetics. Therefore, the pseudo-first order kinetic model is not well suited to describe the degradation of MB by hydrogen peroxide.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <fig id="fig7" position="float">
     <label>Figure 7</label>
     <caption>
      <title>Figure 7. Pseudo first order kinetics for MB degradation by oxygen.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId38.jpeg?20241127022257" />
    </fig>
    <table-wrap id="table3">
     <label>
      <xref ref-type="table" rid="table3">
       Table 3
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 3. Pseudo-first order kinetic constants for MB degradation by hydrogen peroxide.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.81%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="26.11%"><p style="text-align:center">Quantity (mL)</p></td> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.97%"><p style="text-align:center">k<sub>1</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
       <td class="custom-bottom-td acenter" width="22.97%"><p style="text-align:center"> 
         <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
           <msubsup> 
            <mi>
              R 
            </mi> 
            <mn>
              1 
            </mn> 
            <mn>
              2 
            </mn> 
           </msubsup> 
          </mrow> 
         </math></p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="custom-top-td acenter" width="19.81%"><p style="text-align:center">H<sub>2</sub>O<sub>2</sub></p></td> 
       <td class="custom-top-td acenter" width="26.11%"><p style="text-align:center">0.1</p></td> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">12.36</p></td> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">0.98</p></td> 
       <td class="custom-top-td acenter" width="22.97%"><p style="text-align:center">0.00448</p></td> 
       <td class="custom-top-td acenter" width="22.97%"><p style="text-align:center">0.4306</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="26.11%"><p style="text-align:center">0.3</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">6.27</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">1.04</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.024</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.1227</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="26.11%"><p style="text-align:center">0.5</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">5.08</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">1.43</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.0439</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.9349</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <p>The plot of versus time t for the degradation of MB by hydrogen peroxide gives the linear forms (<xref ref-type="fig" rid="fig8">
      Figure 8
     </xref>). The values of k<sub>2</sub> and q<sub>e</sub> can be determined from the slopes and y-intercepts of these lines.</p>
    <fig id="fig8" position="float">
     <label>Figure 8</label>
     <caption>
      <title>Figure 8. Pseudo-second order kinetics for MB degradation by hydrogen peroxide.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId41.jpeg?20241127022257" />
    </fig>
    <p>The pseudo-second order degradation kinetic constant k<sub>2</sub>, the quantity of MB adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are indicated in<xref ref-type="table" rid="table4">
      Table 4
     </xref>. From these results, we note that the correlation coefficients 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are greater than the 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> coefficients for all quantities of hydrogen peroxide. Furthermore, the experimental q<sub>e</sub> values are much closer to the q<sub>e</sub> values calculated from the linear forms of the pseudo-second order kinetics for all quantities of hydrogen peroxide. From these results, it appears that the pseudo-second order kinetic model gives a better description of the kinetics of the MB degradation reaction with hydrogen peroxide, unlike the pseudo-first order kinetic model.</p>
    <table-wrap id="table4">
     <label>
      <xref ref-type="table" rid="table4">
       Table 4
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 4. Pseudo-second order kinetic constants for MB degradation by oxygen.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="13.50%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="18.93%"><p style="text-align:center">Quantity (mL)</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center">k<sub>2</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
       <td class="custom-bottom-td acenter" width="16.89%"><p style="text-align:center"> 
         <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
           <msubsup> 
            <mi>
              R 
            </mi> 
            <mn>
              2 
            </mn> 
            <mn>
              2 
            </mn> 
           </msubsup> 
          </mrow> 
         </math></p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="custom-top-td acenter" width="13.50%"><p style="text-align:center">H<sub>2</sub>O<sub>2</sub></p></td> 
       <td class="custom-top-td acenter" width="18.93%"><p style="text-align:center">0.1</p></td> 
       <td class="custom-top-td acenter" width="16.89%"><p style="text-align:center">12.36</p></td> 
       <td class="custom-top-td acenter" width="16.89%"><p style="text-align:center">12.40</p></td> 
       <td class="custom-top-td acenter" width="16.89%"><p style="text-align:center">0.14</p></td> 
       <td class="custom-top-td acenter" width="16.89%"><p style="text-align:center">0.9977</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.93%"><p style="text-align:center">0.3</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">6.27</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">6.41</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.07</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.9991</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="18.93%"><p style="text-align:center">0.5</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">5.08</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">5.19</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.1</p></td> 
       <td class="acenter" width="16.89%"><p style="text-align:center">0.9995</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>3) Effect of iron (Fe<sup>2+</sup>)</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>Ferrous iron plays an important role in the efficiency of the photo-Fenton process. For the determination of its optimal value for the degradation of methylene blue is essential. For this, the optimal quantity of H<sub>2</sub>O<sub>2</sub> is set at 0.1 ml and the mass of Iron is varied from 5 to 25 mg in steps of 5 mg. The results are presented in <xref ref-type="fig" rid="fig9">
      Figure 9
     </xref>.</p>
    <fig id="fig9" position="float">
     <label>Figure 9</label>
     <caption>
      <title>Figure 9. Effect of ferrous iron.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId50.jpeg?20241127022257" />
    </fig>
    <p>The degradation rate of Methylene Blue changes rapidly when the quantity of iron varies from 0 to 15 minutes. After 15 minutes, the yield is constant with an elimination rate of more than 90% for the different quantities. For the quantity of 10 mg, the elimination rate is BM is 92% after 120 minutes. This yield being the best, the quantity of iron of 10 mg will be retained as the optimal value for the rest of the work.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>4) Kinetics of MB degradation by ferrous iron</p>
    <p>The pseudo-first order and pseudo-second order kinetic laws were used in this study.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <fig id="fig10" position="float">
     <label>Figure 10</label>
     <caption>
      <title>Figure 10. Pseudo-first order kinetics for BM degradation by iron.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId51.jpeg?20241127022257" />
    </fig>
    <p>The plot of ln(q<sub>e</sub> − q<sub>t</sub>) versus time t for the degradation of MB by iron gives linear shapes (<xref ref-type="fig" rid="fig10">
      Figure 10
     </xref>).</p>
    <p>The values of k<sub>1</sub> were calculated from the slopes of these lines, and q<sub>e</sub>,<sub>cal</sub> from the ordinate at the origin. The pseudo-first order degradation kinetic constant k<sub>1</sub>, the quantity of MB adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are shown in <xref ref-type="table" rid="table5">
      Table 5
     </xref>.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 5. Pseudo-first order kinetic constants for the degradation of MB iron.</p>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="19.40%"><p style="text-align:center"></p></td> 
      <td class="custom-bottom-td acenter" width="26.59%"><p style="text-align:center">Quantity (mg)</p></td> 
      <td class="custom-bottom-td acenter" width="22.99%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
      <td class="custom-bottom-td acenter" width="22.99%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
      <td class="custom-bottom-td acenter" width="23.02%"><p style="text-align:center">k<sub>1</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
      <td class="custom-bottom-td acenter" width="23.02%"><p style="text-align:center"> 
        <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
          <msubsup> 
           <mi>
             R 
           </mi> 
           <mn>
             1 
           </mn> 
           <mn>
             2 
           </mn> 
          </msubsup> 
         </mrow> 
        </math></p></td> 
     </tr> 
     <tr> 
      <td rowspan="3" class="custom-top-td acenter" width="19.40%"><p style="text-align:center">Iron</p></td> 
      <td class="custom-top-td acenter" width="26.59%"><p style="text-align:center">10</p></td> 
      <td class="custom-top-td acenter" width="22.99%"><p style="text-align:center">268.18</p></td> 
      <td class="custom-top-td acenter" width="22.99%"><p style="text-align:center">36.09</p></td> 
      <td class="custom-top-td acenter" width="23.02%"><p style="text-align:center">0.0392</p></td> 
      <td class="custom-top-td acenter" width="23.02%"><p style="text-align:center">0.9402</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="26.59%"><p style="text-align:center">15</p></td> 
      <td class="acenter" width="22.99%"><p style="text-align:center">172.89</p></td> 
      <td class="acenter" width="22.99%"><p style="text-align:center">22.15</p></td> 
      <td class="acenter" width="23.02%"><p style="text-align:center">0.0382</p></td> 
      <td class="acenter" width="23.02%"><p style="text-align:center">0.9651</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="26.59%"><p style="text-align:center">25</p></td> 
      <td class="acenter" width="22.99%"><p style="text-align:center">99.7</p></td> 
      <td class="acenter" width="22.99%"><p style="text-align:center">16.18</p></td> 
      <td class="acenter" width="23.02%"><p style="text-align:center">0.0454</p></td> 
      <td class="acenter" width="23.02%"><p style="text-align:center">0.9837</p></td> 
     </tr> 
    </table>
    <p>The results in <xref ref-type="table" rid="table5">
      Table 5
     </xref> show that, the correlation coefficients obtained are 0.9402 for 10 mg; 0.9651 for 15 mg and 0.9837 for 25 mg. Despite the high correlation coefficient values, the experimental q<sub>e</sub> do not agree with the q<sub>e</sub> calculated from linearized forms of pseudo-first order kinetics. Therefore, the pseudo-first-order kinetic model is not well suited to describe the degradation of MB by iron.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The plot of versus time t for the degradation of MB by ferrous iron gives the linear shapes (<xref ref-type="fig" rid="fig11">
      Figure 11
     </xref>). The values of k<sub>2</sub> and q<sub>e</sub> can be determined from the slopes and y-intercepts of these lines. The kinetic constant of the pseudo-second order adsorption reaction k<sub>2</sub>, the quantity of phenol adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are shown in <xref ref-type="table" rid="table6">
      Table 6
     </xref>.</p>
    <fig id="fig11" position="float">
     <label>Figure 11</label>
     <caption>
      <title>Figure 11. Pseudo-second order kinetics for MB degradation by iron.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId58.jpeg?20241127022257" />
    </fig>
    <table-wrap id="table5">
     <label>
      <xref ref-type="table" rid="table5">
       Table 5
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 6. Pseudo-second order kinetic constants for MB degradation by iron.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="19.10%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="26.14%"><p style="text-align:center">Quantity (mg)</p></td> 
       <td class="custom-bottom-td acenter" width="22.61%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.61%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.62%"><p style="text-align:center">k<sub>2</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
       <td class="custom-bottom-td acenter" width="22.62%"><p style="text-align:center"> 
         <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
           <msubsup> 
            <mi>
              R 
            </mi> 
            <mn>
              2 
            </mn> 
            <mn>
              2 
            </mn> 
           </msubsup> 
          </mrow> 
         </math></p></td> 
      </tr> 
      <tr> 
       <td rowspan="3" class="custom-top-td acenter" width="19.10%"><p style="text-align:center">Iron</p></td> 
       <td class="custom-top-td acenter" width="26.14%"><p style="text-align:center">10</p></td> 
       <td class="custom-top-td acenter" width="22.61%"><p style="text-align:center">268.18</p></td> 
       <td class="custom-top-td acenter" width="22.61%"><p style="text-align:center">277.78</p></td> 
       <td class="custom-top-td acenter" width="22.62%"><p style="text-align:center">0.0025</p></td> 
       <td class="custom-top-td acenter" width="22.62%"><p style="text-align:center">0.9981</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="26.14%"><p style="text-align:center">15</p></td> 
       <td class="acenter" width="22.61%"><p style="text-align:center">172.89</p></td> 
       <td class="acenter" width="22.61%"><p style="text-align:center">172.41</p></td> 
       <td class="acenter" width="22.62%"><p style="text-align:center">0.0116</p></td> 
       <td class="acenter" width="22.62%"><p style="text-align:center">0.9997</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="26.14%"><p style="text-align:center">25</p></td> 
       <td class="acenter" width="22.61%"><p style="text-align:center">99.70</p></td> 
       <td class="acenter" width="22.61%"><p style="text-align:center">101.01</p></td> 
       <td class="acenter" width="22.62%"><p style="text-align:center">0.0116</p></td> 
       <td class="acenter" width="22.62%"><p style="text-align:center">0.9999</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>From these results, we notice that the 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> correlation coefficients are greater than the 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> coefficients for all pseudo-first order iron quantities. Furthermore, the experimental q<sub>e</sub> values are much closer to the q<sub>e</sub> values calculated from the linear forms of the pseudo-second order kinetics for all quantities of iron. From these results, it appears that the pseudo-second order kinetic model gives a better description of the kinetics of MB degradation by iron, unlike the pseudo-first order kinetic model.</p>
    <p>5) Influence of clay</p>
    <p>For the study of the influence of clay on the removal of BM the optimal values of peroxide and iron were used in the photo-Fenton process. Then the masses of the AB and Aga clays were varied from 0.05 g to 0.2 g in steps of 0.05 g over a period of 2 hours. The results obtained are presented in <xref ref-type="fig" rid="fig12">
      Figure 12
     </xref>. For all quantities of clay used, the removal rate is high (ƞ &gt; 90%). Among the clay masses used, for masses of 0.05 to 0.15 g, a rapid increase in the elimination rate is observed, from 15 to 40 minutes the yield is constant at 98%. Beyond 40 minutes a decrease in the elimination rate of methylene blue is observed. Thus, in the case of our study, the optimal mass of clay necessary for the effective elimination of methylene blue (50 mg/L) is 0.1 g.</p>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <fig id="fig12" position="float">
     <label>Figure 12</label>
     <caption>
      <title>Figure 12. Influence of the quantity (AB and Aga) in the elimination of Methylene Blue by photo-Fenton process.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId65.jpeg?20241127022257" />
    </fig>
    <fig id="fig13" position="float">
     <label>Figure 13</label>
     <caption>
      <title>Figure 13. Pseudo first order kinetics for MB degradation with the influence of clay.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId66.jpeg?20241127022257" />
    </fig>
    <p>6) Kinetics of MB degradation by the influence of clay</p>
    <p>During this study, pseudo-first order and pseudo-second kinetic laws were used. The plot of ln(q<sub>e</sub> − q<sub>t</sub>) as a function of time t for the degradation of MB with the influence of clay gives linear shapes (<xref ref-type="fig" rid="fig13">
      Figure 13
     </xref>). The values of k<sub>1</sub> were calculated from the slopes of these lines, and q<sub>e</sub>,<sub>cal</sub> from the ordinate at the origin.</p>
    <p>The pseudo-first order degradation kinetic constant k<sub>1</sub>, the quantity of MB adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are shown in <xref ref-type="table" rid="table7">
      Table 7
     </xref>.</p>
    <table-wrap id="table6">
     <label>
      <xref ref-type="table" rid="table6">
       Table 6
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 7. Pseudo-first order kinetic constants for MB degradation with the influence of clay</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center">Quantité (g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.96%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="22.97%"><p style="text-align:center">k<sub>1</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
       <td class="custom-bottom-td acenter" width="22.97%"><p style="text-align:center"> 
         <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
           <msubsup> 
            <mi>
              R 
            </mi> 
            <mn>
              1 
            </mn> 
            <mn>
              2 
            </mn> 
           </msubsup> 
          </mrow> 
         </math></p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">AB</p></td> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">0.1</p></td> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">27.45</p></td> 
       <td class="custom-top-td acenter" width="22.96%"><p style="text-align:center">2.13</p></td> 
       <td class="custom-top-td acenter" width="22.97%"><p style="text-align:center">0.0186</p></td> 
       <td class="custom-top-td acenter" width="22.97%"><p style="text-align:center">0.6305</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="22.96%"><p style="text-align:center">Aga</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">0.1</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">27.92</p></td> 
       <td class="acenter" width="22.96%"><p style="text-align:center">3.1</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.0325</p></td> 
       <td class="acenter" width="22.97%"><p style="text-align:center">0.955</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>The results in <xref ref-type="table" rid="table7">
      Table 7
     </xref> show that the correlation coefficients obtained are 0.6305 for 0.1 g of AB and greater than 0.95 for the quantity of 0.1 g of Aga clay. Despite the high correlation coefficient values, the experimental q<sub>e</sub> does not agree with the q<sub>e</sub> calculated from linearized forms of pseudo-first order kinetics. Therefore, the pseudo-first order kinetic model is not well suited to describe the degradation of MB with the influence of clay.</p>
    <p>The plot of versus time t for the degradation of MB with the influence of clay gives linear shapes (<xref ref-type="fig" rid="fig14">
      Figure 14
     </xref>).</p>
    <fig id="fig14" position="float">
     <label>Figure 14</label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Figure 14. Pseudo-second order kinetics for MB degradation with the influence of clay.</title>
     </caption>
     <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/7702999-rId71.jpeg?20241127022257" />
    </fig>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref>The kinetic constant of the pseudo-second order adsorption reaction k<sub>2</sub>, the quantity of phenol adsorbed at equilibrium q<sub>e</sub>, and the correlation coefficient 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> are shown in <xref ref-type="table" rid="table8">
      Table 8
     </xref>.</p>
    <table-wrap id="table7">
     <label>
      <xref ref-type="table" rid="table7">
       Table 7
      </xref></label>
     <caption>
      <title>
       <xref ref-type="bibr" rid="scirp.137683-"></xref>Table 8. Pseudo-second order kinetic constants for MB degradation with the influence of clay.</title>
     </caption>
     <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
      <tr> 
       <td class="custom-bottom-td acenter" width="23.03%"><p style="text-align:center"></p></td> 
       <td class="custom-bottom-td acenter" width="23.03%"><p style="text-align:center">Quantity (g)</p></td> 
       <td class="custom-bottom-td acenter" width="23.03%"><p style="text-align:center">q<sub>e</sub><sub>,exp</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="23.03%"><p style="text-align:center">q<sub>e</sub><sub>,cal</sub> (mg/g)</p></td> 
       <td class="custom-bottom-td acenter" width="23.05%"><p style="text-align:center">k<sub>2</sub> (min<sup>−</sup><sup>1</sup>)</p></td> 
       <td class="custom-bottom-td acenter" width="23.05%"><p style="text-align:center"> 
         <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
           <msubsup> 
            <mi>
              R 
            </mi> 
            <mn>
              2 
            </mn> 
            <mn>
              2 
            </mn> 
           </msubsup> 
          </mrow> 
         </math></p></td> 
      </tr> 
      <tr> 
       <td class="custom-top-td acenter" width="23.03%"><p style="text-align:center">AB</p></td> 
       <td class="custom-top-td acenter" width="23.03%"><p style="text-align:center">0.10</p></td> 
       <td class="custom-top-td acenter" width="23.03%"><p style="text-align:center">27.45</p></td> 
       <td class="custom-top-td acenter" width="23.03%"><p style="text-align:center">25.32</p></td> 
       <td class="custom-top-td acenter" width="23.05%"><p style="text-align:center">−0.014</p></td> 
       <td class="custom-top-td acenter" width="23.05%"><p style="text-align:center">0.9911</p></td> 
      </tr> 
      <tr> 
       <td class="acenter" width="23.03%"><p style="text-align:center">Aga</p></td> 
       <td class="acenter" width="23.03%"><p style="text-align:center">0.10</p></td> 
       <td class="acenter" width="23.03%"><p style="text-align:center">27.92</p></td> 
       <td class="acenter" width="23.03%"><p style="text-align:center">26.36</p></td> 
       <td class="acenter" width="23.05%"><p style="text-align:center">−0.019</p></td> 
       <td class="acenter" width="23.05%"><p style="text-align:center">0.997</p></td> 
      </tr> 
     </table>
    </table-wrap>
    <p>
     <xref ref-type="bibr" rid="scirp.137683-"></xref></p>
    <p>The best model established for the study of degradation kinetics is chosen according to the correlation factor. The higher this factor is and closer to 1, the more favorable the model is for studying the degradation process <xref ref-type="bibr" rid="scirp.137683-23">
      [23]
     </xref>. In<xref ref-type="table" rid="table7">
      Table 7
     </xref>, we notice that the 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          2 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> correlation coefficients are greater than the 
     <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
       <msubsup> 
        <mi>
          R 
        </mi> 
        <mn>
          1 
        </mn> 
        <mn>
          2 
        </mn> 
       </msubsup> 
      </mrow> 
     </math> coefficients for all quantities of clays. In addition, the experimental q<sub>e</sub> values are much closer to the q<sub>e</sub> values calculated from the linear forms of the pseudo-second order kinetics for all quantities of hydrogen peroxide. From these results, it appears that the pseudo-second order kinetic model gives a better description of the reaction kinetics of MB degradation with the influence of clay, unlike the pseudo-first order kinetic model.</p>
   </sec>
   <sec id="s3_2">
    <title>3.2. Discussion</title>
    <p>The degradation of Methylene Blue by the photo-Fenton process was carried out in the presence of natural light. First, the volume of peroxide required for maximum dye removal was determined by setting the iron at 20 mg and varying the peroxide from 0.1 mL to 0.5 mL. Then, the optimal amount of iron was determined by setting the optimal volume of peroxide determined previously and varying the amounts of iron from 5 mg to 25 mg. Indeed, due to its low oxidizing power (1.8 V/ENH compared to 2.8 V/ENH for the hydroxyl radical), hydrogen peroxide is not capable of degrading MB alone <xref ref-type="bibr" rid="scirp.137683-24">
      [24]
     </xref>. On the other hand, when associated with ferric ions, it produces hydroxyl radicals which eliminate the dyes. Nicol showed that the use of 1 to 2 M hydrogen peroxide would improve the efficiency of dye processing, but only when H<sub>2</sub>O<sub>2</sub> was coupled to ferric ions at 0.2 M <xref ref-type="bibr" rid="scirp.137683-25">
      [25]
     </xref>. The amount of 0.1 mL of hydrogen peroxide allowed the elimination of 90% of the dye, so it was chosen as the optimal value. Wei et al. showed that an excess amount of H<sub>2</sub>O<sub>2</sub> could decrease the degradation rate due to competitive reactions between H<sub>2</sub>O<sub>2</sub> and free radicals, which could reduce the efficiency of the process <xref ref-type="bibr" rid="scirp.137683-26">
      [26]
     </xref>. The optimal amount of ferrous iron for dye degradation is 10 mg for a yield of 92%. Beyond this value, the yield decreases. This observation could be explained by the formation of aggregates which would reduce the number of active sites <xref ref-type="bibr" rid="scirp.137683-27">
      [27]
     </xref> <xref ref-type="bibr" rid="scirp.137683-28">
      [28]
     </xref>. The decolorization rate of Methylene Blue when adding 0.1 g of AB and Aga clays made it possible to obtain a removal of 98.43% for AB and 98.13% for Aga. This could be explained by two phenomena that occur simultaneously during processing: the adsorption of the dye by the clay and the photo-Fenton process. Indeed, the mineralogical composition of the clays showed that these clays contain a significant proportion of clay minerals. These minerals have a strong adsorbent power due to the small size of their particles which gives them a large specific surface area. Indeed, Karim et al. in their study, showed that the adsorption process on raw MB clay is very rapid during the first 10 minutes of treatment and evolves slowly then stabilizes after the 40th minute <xref ref-type="bibr" rid="scirp.137683-29">
      [29]
     </xref>. Their results show that 95% of the adsorbed quantity was reached during the first ten minutes. Beyond this quantity of clay, we observe a reduction in the rate of elimination of the pollutant. This may be due to the difficulty of MB molecules in reaching the absorbing sites <xref ref-type="bibr" rid="scirp.137683-30">
      [30]
     </xref>. When the quantity of clay increases, we witness the phenomenon of agglomeration of clay particles. The solution becomes cloudier, which leads to a decrease in the effectiveness of the catalyst observed by the drop in the amount of light in the liquid, consequently the number of hydroxyl radicals responsible for degradation is reduced. Furthermore Badis and Manaa showed it for the elimination of two pollutants by photo-induction and the elimination of pharmaceutical compounds by photo-Fenton <xref ref-type="bibr" rid="scirp.137683-2">
      [2]
     </xref> <xref ref-type="bibr" rid="scirp.137683-31">
      [31]
     </xref>. This same observation was made by Saoudi and Hamouma <xref ref-type="bibr" rid="scirp.137683-32">
      [32]
     </xref>. According to them, this behavior can be explained:</p>
    <p>It is also noted that the amount of adsorption is slightly higher for AB clay than Aga clay. The comparison of the two clays allows us to conclude that AB clay has greater adsorbent power than Aga clay. This is reflected in the characteristics of the clays contained in <xref ref-type="table" rid="table2">
      Table 2
     </xref>. Indeed, AB clay is richer in clay minerals with a rate of 70.06% unlike Aga clay which has 21.44% clay minerals. In addition, goethite, which represents 3.12% of Aga clay and which is absent in AB clay, is a mineral which also has adsorption properties. It contributes to the high adsorption capacity of Aga clay.</p>
   </sec>
  </sec><sec id="s4">
   <title>4. Conclusions</title>
   <p>This work aims to promote local materials with a view to using them for wastewater treatment. It is in this context that AB and Aga clays were characterized. The characterization results showed that AB clay is mainly composed of kaolinite (61.31%), quartz (28.9%) and illite (11.26%). As for Aga clay, it is composed of kaolinite (12.72%), quartz (77.13%), illite (8.75%) and a small proportion of goethite (3.12%). From these characterizations, it appears that AB clay with a significant proportion of kaolinite can be used for the adsorption of methylene blue and the proportion of goethite in Aga clay would favor the adsorption phenomenon. Subsequently, the optimal quantities of the reagents of the Fenton process, namely hydrogen peroxide (0.1 mL) and ferrous iron (10 mg) were determined under daylight irradiation. Finally, we carried out an experimental study of the influence of different clays on the degradation of MB by the photo-Fenton process. The results obtained during our study were able to highlight the following considerations:</p>
   <p>It should also be noted that the degradation of methylene blue follows pseudo-second order kinetics. In summary, we conclude that the photo-Fenton process is effective for the elimination of the dye. However, it is the addition of clay which allows it to achieve a suitable elimination efficiency for industries because the combination of these two processes made it possible to obtain an efficiency of 98.43% for AB and 98.13% for Aga. This study can continue, by testing other types of materials in order to obtain a material that can completely eliminate the pollutant and study the adsorption isotherms.</p>
  </sec>
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