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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fchem.2020.573535</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Adsorption of Orange II Onto Zn<sub>2</sub>Al&#x02013;Layered Double Hydroxide Prepared From Zinc Ash</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>T&#x001CE;ma&#x0015F;</surname> <given-names>Andra</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/873022/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Cozma</surname> <given-names>Ioana</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1033946/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Cocheci</surname> <given-names>Laura</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/871890/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Lupa</surname> <given-names>Lavinia</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1136189/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Rusu</surname> <given-names>Gerlinde</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1135060/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Faculty of Industrial Chemistry and Environmental Engineering, University Politehnica Timisoara</institution>, <addr-line>Timisoara</addr-line>, <country>Romania</country></aff>
<aff id="aff2"><sup>2</sup><institution>&#x0201C;Coriolan Dragulescu&#x0201D; Institute of Chemistry</institution>, <addr-line>Timisoara</addr-line>, <country>Romania</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Enrico Traversa, University of Electronic Science and Technology of China, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Priyanka Sharma, Stony Brook University, United States; Inderjeet Tyagi, Zoological Survey of India, India</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Laura Cocheci <email>laura.cocheci&#x00040;upt.ro</email></corresp>
<corresp id="c002">Lavinia Lupa <email>lavinia.lupa&#x00040;upt.ro</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Green and Sustainable Chemistry, a section of the journal Frontiers in Chemistry</p></fn></author-notes>
<pub-date pub-type="epub">
<day>30</day>
<month>11</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="collection">
<year>2020</year>
</pub-date>
<volume>8</volume>
<elocation-id>573535</elocation-id>
<history>
<date date-type="received">
<day>17</day>
<month>06</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>07</day>
<month>10</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2020 T&#x001CE;ma&#x0015F;, Cozma, Cocheci, Lupa and Rusu.</copyright-statement>
<copyright-year>2020</copyright-year>
<copyright-holder>T&#x001CE;ma&#x0015F;, Cozma, Cocheci, Lupa and Rusu</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 dye industry is one of the largest water consuming industries, and at the same time generates large quantities of wastewaters. The resulting wastewaters require proper treatment before discharge, because the dye contents have a negative effect on the water body and organisms present in it. The most efficient treatment method for water containing dyes is represented by adsorption processes. The challenge with these adsorption processes is to develop new, efficient, viable, and economic adsorbent materials. Therefore, in the present paper, the performance of Zn<sub>2</sub>Al-layered double hydroxide, prepared from an industrial waste (zinc ash) as a zinc source, was investigated in the Orange II dye adsorption process. The Zn<sub>2</sub>Al-layered double hydroxide prepared from secondary sources presents similar morphological and structural characteristics as those prepared from analytical grade reagents. The influence of initial dye concentration, adsorption time, solid:liquid ratio, pH, and temperature was evaluated in order to confirm the benefit of this waste valorization. A comparison with the reference Zn<sub>2</sub>Al-layered double hydroxide prepared from analytical grade reagents was performed and the results show that due to the small presence of impurities, the material prepared from zinc ash shows better adsorption capacities (q<sub>max,exp</sub> = 42.5 mg/g at 293 K) than the material prepared from reagents (q<sub>max,exp</sub> = 36.9 mg/g at 293 K), justifying the utilization of secondary sources for layered double hydroxides preparation. The proposed treatment process presents advantages from both economic and environmental protection point of view.</p></abstract>
<kwd-group>
<kwd>layered double hydroxides</kwd>
<kwd>zinc ash waste</kwd>
<kwd>Orange II adsorption</kwd>
<kwd>equilibrium</kwd>
<kwd>kinetics</kwd>
<kwd>thermodynamics</kwd>
</kwd-group>
<counts>
<fig-count count="12"/>
<table-count count="3"/>
<equation-count count="20"/>
<ref-count count="50"/>
<page-count count="13"/>
<word-count count="7718"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Synthetic dyes are used in many industries, such as the textile, plastics, leather, pharmaceutical, paint, and electroplating industries. Their intensive use leads to an increase of discharged effluents with dye content in water streams, representing an increased danger for environmental protection and human health (Jin et al., <xref ref-type="bibr" rid="B22">2008</xref>; Hsiu-Mei et al., <xref ref-type="bibr" rid="B20">2009</xref>; Kousha et al., <xref ref-type="bibr" rid="B28">2012</xref>). In particular, the International Agency for Research on Cancer (IARC) classified Orange II dye as a category 3 carcinogen in humans (Pan et al., <xref ref-type="bibr" rid="B39">2011</xref>). Their property of fast dispersion in water and their complex aromatic structure slow down the efficiency of the water treatment process, such as biological treatment and the oxidation processes (Abramian and El-Rassy, <xref ref-type="bibr" rid="B1">2009</xref>; Hsiu-Mei et al., <xref ref-type="bibr" rid="B20">2009</xref>; Jin et al., <xref ref-type="bibr" rid="B23">2014</xref>; Asfaram et al., <xref ref-type="bibr" rid="B3">2015</xref>; Ghaedi et al., <xref ref-type="bibr" rid="B15">2015</xref>). From all the conventional processes used for treatment of water containing dye pollutants, adsorption proved to be the most efficient. If the formation of toxic sludge is avoided, it could be used for a wide range of water compositions&#x02014;implying low operational costs (Bouhent et al., <xref ref-type="bibr" rid="B6">2011</xref>; Mahmoodi et al., <xref ref-type="bibr" rid="B36">2011</xref>; Kousha et al., <xref ref-type="bibr" rid="B28">2012</xref>; Kaur et al., <xref ref-type="bibr" rid="B24">2015</xref>). The most important factor which has the greatest influence on the efficiency of an adsorption process is represented by the adsorbent material type. An efficient adsorbent material must fulfill the following criteria: high adsorption kinetics, great selectivity, high adsorption capacity, thermal and chemical stability, and easy preparation. These properties are accomplished by layered double hydroxides (LDHs), also called hydrotalcite-like compounds, due to their distinctive characteristics; positively charged metal hydroxide layers and interlayer balancing anions which lead to large interlayer spaces, tunable chemical composition, and the reasonable number of exchangeable anions (Aguiar et al., <xref ref-type="bibr" rid="B2">2013</xref>; Lafi et al., <xref ref-type="bibr" rid="B29">2016</xref>; Mandal and Sandhya, <xref ref-type="bibr" rid="B37">2019</xref>). In the last few years, in order to decrease the synthesis costs and also to reduce the quantity of waste discharged in the environment, attention has been focused on the LDH synthesis starting from secondary sources (Li et al., <xref ref-type="bibr" rid="B31">2012</xref>; Murayama et al., <xref ref-type="bibr" rid="B38">2012</xref>; Santini and Fey, <xref ref-type="bibr" rid="B41">2012</xref>; Barik et al., <xref ref-type="bibr" rid="B5">2014</xref>). Therefore, the novelty of this paper consists of the use of a Zn<sub>2</sub>Al-layered double hydroxide, prepared from an industrial waste zinc source (zinc ash), as the adsorbent material in the removal process of Orange II dye from aqueous solutions. The influence of initial dye concentration, time of adsorption, solid:liquid ratio, pH, and temperature was evaluated in order to confirm the benefit of this waste valorization. A comparison of the adsorption performance of the studied materials with a reference Zn<sub>2</sub>Al-layered double hydroxide, prepared from analytical grade reagents, was performed. The proposed method of using, as adsorbent materials, LDH obtained from an industrial waste, presents multiple advantages, such as: decreasing the waste discharged in the environment, minimizing the use of primary materials, and reducing costs of the adsorption process.</p>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and Methods</title>
<p>All reagents utilized in this study were purchased from Merck (Germany) and were used as received. The layered double hydroxides (Zn<sub>2</sub>Al-CO<sub>3</sub> - type) utilized in this study were prepared and characterized in a previous study (Cocheci et al., <xref ref-type="bibr" rid="B10">2018</xref>). The sample Zn<sub>2</sub>Al &#x02013; R was prepared by starting of analytical grade reagents and utilizing the co-precipitation at low oversaturation method, as described by Cavani et al. (<xref ref-type="bibr" rid="B9">1991</xref>). The sample Zn<sub>2</sub>Al &#x02013; W was prepared starting from fine grained zinc ash (d &#x0003C; 0.315 mm), a waste produced by the hot-dip galvanizing process. The schematic procedure of the Zn<sub>2</sub>Al &#x02013; W sample preparation is presented in <xref ref-type="fig" rid="F1">Figure 1</xref>. After mixing the zinc ash with 20% HCl in order for zinc dissolution to occur, the zinc chloride solution was separated by filtration from unreacted compounds and utilized as a zinc precursor for the Zn<sub>2</sub>Al &#x02013; type layered double hydroxide preparation, by utilizing the same co-precipitation method. The zinc chloride solution was mixed with a defined quantity of aluminum nitrate in order to obtain a molar ratio Zn<sup>2&#x0002B;</sup> : Al<sup>3&#x0002B;</sup> = 2 : 1 and a total molar concentration of the 1 M in 200 cm<sup>3</sup> metal precursors solution. This solution was added drop by drop to a Na<sub>2</sub>CO<sub>3</sub> 1M solution under vigorous magnetic stirring. The pH was kept constant to pH = 10.5 by adding a 2M NaOH solution and was monitored with an InoLab pH-meter. After total addition of metal precursors solution, the precipitate was aged at 70&#x000B0;C overnight, washed with distilled water until all impurities and unreacted compounds were removed, filtered, and dried at 70&#x000B0;C. The LDH samples were crushed and sieved in order to obtain particles with dimensions &#x0003C;90 &#x003BC;m.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Schematic procedure of Zn<sub>2</sub>Al&#x02013;W sample preparation from zinc ash.</p></caption>
<graphic xlink:href="fchem-08-573535-g0001.tif"/>
</fig>
<p>The structural characterization of prepared LDH reveals that the sample prepared from zinc ash has similar characteristics to the sample prepared from analytical grade reagents <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 1</xref> presents the unit cell parameters for the two materials and the morphological characteristics (BET surface area and the pore volumes) for the synthetized samples (Cocheci et al., <xref ref-type="bibr" rid="B10">2018</xref>). The SEM images are presented in <xref ref-type="fig" rid="F2">Figure 2</xref>, together with the EDX spectra. From the SEM images of the materials, it is evident that the formation of highly agglomerated hexagonal plates with different sizes and good crystallinity, stacked with one another&#x02014;this behavior being well-known for this type of materials synthesized by a co-precipitation method. In case of LDH-W (<xref ref-type="fig" rid="F2">Figure 2A</xref>), due to the presence of a small quantity of impurities (Fe, Pb, Ca) from the zinc ash, an inhomogeneity of the surface and a smaller crystallinity is evidenced.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>SEM images and EDX spectra for <bold>(A)</bold> LDH-W and <bold>(B)</bold> LDH-R.</p></caption>
<graphic xlink:href="fchem-08-573535-g0002.tif"/>
</fig>
<p>Orange II dye adsorption experiments were developed in batch mode in order to obtain information about the adsorptive behavior of the two materials. In order to study the benefit of waste valorization onto LDH, kinetic, thermodynamics and equilibrium studies were performed. The kinetic studies were performed studying the influence of different parameters such as: pH, solid:liquid ratio, initial dye concentration, and temperature at various stirring times upon the adsorption performance developed by the two studied LDHs. The adsorption characteristics were obtained by contacting a defined amount of adsorbent (Zn<sub>2</sub>Al &#x02013; R or Zn<sub>2</sub>Al &#x02013; W) with 50 cm<sup>3</sup> solutions of different concentrations of dye (10 &#x02013; 200 mg/L).</p>
<p>The adsorption capacity at equilibrium (q<sub>e</sub>) and at time t (q<sub>t</sub>) were calculated taking into account the mass balance of Orange II dye adsorbed onto the LDH surface:</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x000B7;</mml:mo><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>q</italic><sub><italic>e</italic></sub> is the adsorption capacity of adsorbent at equilibrium (mg/g), <italic>V</italic> the volume of the solution (L), <italic>C</italic><sub>0</sub> (mg/L) and <italic>C</italic><sub><italic>e</italic></sub> (mg/L) the initial and equilibrium concentrations of Orange II, and <italic>m</italic> the mass of adsorbent (g).</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:mfrac><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow><mml:mo>&#x000B7;</mml:mo><mml:mi>V</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where <italic>q</italic><sub><italic>t</italic></sub> is the adsorption capacity of adsorbent at time t (mg/g), <italic>V</italic> the volume of the solution (L), <italic>C</italic><sub>0</sub> (mg/L) the initial concentration of Orange II, and <italic>C</italic><sub><italic>t</italic></sub> (mg/L) the concentration of Orange II at time t, and <italic>m</italic> the mass of adsorbent (g).</p>
<p>The structural characterization of exhausted materials after adsorption was performed by utilization of XRD and FTIR techniques. The X-ray diffractograms were recorded using a Rigaku Ultima IV X-ray diffractometer (40 kV, 40 mA) with Cu<sub>K&#x003B1;</sub> radiation. The Fourier-transform infrared spectra (FTIR) were recorded in the domain 400&#x02013;4,000 cm<sup>&#x02212;1</sup> using Bruker Vertex 70 FTIR equipment. The concentrations of Orange II dye solutions were sprectrometrically determined at 480 nm using a Varian 100 UV-VIZ spectrometer.</p>
</sec>
<sec id="s3">
<title>Results and Discussion</title>
<sec>
<title>Determination of pH<sub>pzc</sub> for the Adsorbents</title>
<p>Due to the fact that layered double hydroxides consist in positive layers of mixed metal hydroxides, the pH of working solutions plays an important role in the adsorption behavior of these materials. Depending on the value of the initial pH of the working solution, the surface of the materials can be either negatively charged, neutral at a particular pH, or positively charged. The value of pH at which the surface of the materials is neutral (the so-called pH of point of zero charged pH<sub>pzc</sub>) was determined by contacting 0.0050 g of solid materials with 50 cm<sup>3</sup> of solutions of HNO<sub>3</sub> or NaOH with defined pH<sub>i</sub> values. After 24 h of mixing, the values of final pH (pH<sub>f</sub>) of the solutions were determined. By plotting pH<sub>f</sub> = f(pH<sub>i</sub>), the pH<sub>pzc</sub> can be determined as the intersection point of the obtained curve with the theoretical curve pH<sub>i</sub> = pH<sub>f</sub>. The pH of point of zero charged for the studied materials is presented in <xref ref-type="fig" rid="F3">Figure 3</xref>.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p>Determination of pH<sub>pzc</sub> for the adsorbents.</p></caption>
<graphic xlink:href="fchem-08-573535-g0003.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F3">Figure 3</xref> it can be observed that the behavior of the materials (LDH &#x02013; R, prepared from analytical grade reagents and LDH &#x02013; W, prepared from waste) is similar and the pH = 9.5 represents the point of zero charge of the surfaces for both materials. At pH values lower than pH<sub>pzc</sub> = 9.5 the surface of LDH became positive due to the protonation effect, while at pH values greater than pH<sub>pzc</sub> = 9.5 the surface of LDH became negative due to the deprotonation effect (Xu et al., <xref ref-type="bibr" rid="B48">2008</xref>). From a practical point of view, if the initial pH of the working solution has values lower than pH = 4, or greater than pH = 12, the mixed hydroxides can be dissolved.</p>
<p>On the other hand, the Orange II dye exists in aqueous solutions in various forms (Bourikas et al., <xref ref-type="bibr" rid="B7">2005</xref>), but in the pH range of 2 &#x02013; 9 only the partial ionized species (HL<sup>&#x02212;</sup>) is present; the fully ionized species being predominant at pH &#x0003E; 12 (Zaheer et al., <xref ref-type="bibr" rid="B49">2019</xref>).</p>
</sec>
<sec>
<title>Kinetic Studies</title>
<sec>
<title>At Different pH Values</title>
<p>The studies about pH influence on the adsorption process were performed by starting with 40 mg/L dye solutions, 1 g/L solid:liquid ratio, and an experimental temperature of 20&#x000B0;C. The influence of pH on the adsorption process is presented in <xref ref-type="fig" rid="F4">Figure 4A</xref>.</p>
<fig id="F4" position="float">
<label>Figure 4</label>
<caption><p>Influence of: <bold>(A)</bold> initial pH; <bold>(B)</bold> S:L ratios; <bold>(C)</bold> initial concentrations of dye and <bold>(D)</bold> temperature on the Orange II adsorption process at different stirring times.</p></caption>
<graphic xlink:href="fchem-08-573535-g0004.tif"/>
</fig>
<p>It is evident that acidic conditions are favorable for the adsorption capacity of materials. As the pH of the dye solution increases, the adsorption capacity decreases. Comparing the sample prepared from analytical grade reagent (LDH &#x02013; R) and that prepared from waste (LDH &#x02013; W), at pH = 4 and after 90 min of adsorption, the adsorption capacities are similar. At initial pH = 6.3, the LDH prepared from waste (sample LDH &#x02013; W) adsorbed better than the sample LDH &#x02013; R (prepared from analytical grade reagents). We decided to run the following experiments at natural pH of initial Orange II solutions (5 &#x0003C; pH &#x0003C; 7) for practical convenience. It can also be observed that at each pH and for both studied adsorbents, the quantity of the adsorbed dye takes place very fast in the first 5 min of stirring. After that, the increase of the adsorption capacity is not so significant.</p>
</sec>
<sec>
<title>At Different Solid:Liquid Ratios</title>
<p>To study the influence of the quantity of adsorbent material on the removal of Orange II dye, different amounts of LDH were added, ranging between 25&#x000F7;100 mg, into the flask containing 50 mL of dye solution. The experiments were performed at pH &#x0007E;6.3, temperature 293K and the initial dye concentration of 40 mg/L. The resulting suspensions were stirred in a Julabo SW 22 multishaker at 200 rot/min. The samples were removed from stirring at predetermined time intervals and solids were removed by filtration and the filtrate was analyzed to establish the residual dye concentration. The results are shown in <xref ref-type="fig" rid="F4">Figure 4B</xref>.</p>
<p>It is evident that the increase in the adsorbent dose lead to the decrease of the quantity of adsorbed dye. In case of the highest S:L ratio there is not a great difference between the adsorption capacity developed by the studied adsorbent. At a lower S:L ratio the adsorption capacity developed by LDH-W is higher than the adsorption capacity developed by LDH-R. Because the main purpose is to decrease the treatment costs, it is more efficient to use a lower S:L ratio. Therefore, further studies were performed using 1 g of LDH for the treatment of 1 L of aqueous solutions containing Orange II. By studying the second parameters, solid:liquid ratio, at different stirring times, the same conclusion can be drawn&#x02014;that the main quantity of dye is adsorbed in the first 5 min of stirring. At higher stirring time, the adsorption capacity presents a slow increase, regardless of working conditions.</p>
</sec>
<sec>
<title>At Different Initial Concentrations of Dye</title>
<p>The effect of stirring time upon the adsorption performance was also studied using three different initial concentrations of dye (20, 40 and 80 mg/L). The experiments were performed at pH &#x0007E;6.3, temperature 293K, and the dosage of adsorbent 1 g/L. The results are shown in <xref ref-type="fig" rid="F4">Figure 4C</xref>.</p>
<p>The difference between the adsorption capacities developed by the two studied adsorbents is more relevant when it is used at higher initial concentrations of Orange II in solution. The presence, in the LDH structure (in case of the LDH-W, obtained from waste), of impurities (such as: Fe, Ca, Pb) lead to the decrease of its crystallinity, conferring inhomogeneity to the adsorbent surface and increasing the number of available sites for dye adsorption (Cocheci et al., <xref ref-type="bibr" rid="B10">2018</xref>). At the same time, the LDH obtained from waste presents larger pores. All of this leads to the fact that LDH-W develops much higher adsorption capacity than LDH-R in the removal process of Orange II from aqueous solutions.</p>
<p>The performance of the studied materials developed in the adsorption process of Orange II from aqueous solutions was compared with the adsorption performance of other materials reported in specialty literature (<xref ref-type="table" rid="T1">Table 1</xref>). It can be observed that the Zn<sub>2</sub>AL-LDH prepared from secondary sources present better adsorption capacity than other similar materials studied for the removal of Orange II from aqueous solutions.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>The comparison between the adsorption capacities of similar adsorbents developed in the treatment processes of aqueous solutions containing Orange II.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Adsorbent</bold></th>
<th valign="top" align="left"><bold>q<sub><bold><italic>m</italic>,</bold></sub> mg/g</bold></th>
<th valign="top" align="left"><bold>References</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">HDTMA coated zeolite</td>
<td valign="top" align="left">33.9</td>
<td valign="top" align="left">Jin et al., <xref ref-type="bibr" rid="B23">2014</xref></td>
</tr>
<tr>
<td valign="top" align="left">DMDOA-palygorskite (100% CEC equivalent modification)</td>
<td valign="top" align="left">38.61</td>
<td valign="top" align="left">Sarkar et al., <xref ref-type="bibr" rid="B42">2011</xref></td>
</tr>
<tr>
<td valign="top" align="left">2% Hexadecylammonium bromide (HDTMA)-modified zeolite</td>
<td valign="top" align="left">3.38</td>
<td valign="top" align="left">Jin et al., <xref ref-type="bibr" rid="B22">2008</xref></td>
</tr>
<tr>
<td valign="top" align="left">Spent brewery grains</td>
<td valign="top" align="left">28.54</td>
<td valign="top" align="left">Silva et al., <xref ref-type="bibr" rid="B43">2004</xref></td>
</tr>
<tr>
<td valign="top" align="left">Bottom ash</td>
<td valign="top" align="left">13.24</td>
<td valign="top" align="left">Gupta et al., <xref ref-type="bibr" rid="B18">2006</xref></td>
</tr>
<tr>
<td valign="top" align="left">LDH-R</td>
<td valign="top" align="left">35.75</td>
<td valign="top" align="left">Present paper</td>
</tr>
<tr>
<td valign="top" align="left">LDH-W</td>
<td valign="top" align="left">42.5</td>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec>
<title>At Different Temperatures</title>
<p>The kinetic studies were also performed at three different temperatures (293, 308, and 323 K) in order to determine the effect of temperature on the Orange II adsorption process, using LDH-R and LDH-W as adsorbent materials. The experiments were performed at pH &#x0007E;6.3, the initial dye concentration of 40 mg/L and the dosage of adsorbent 1 g/L. The results are shown in <xref ref-type="fig" rid="F4">Figure 4D</xref>.</p>
<p>The temperature increase lead to a slow increase of the quantity of dye adsorbed onto the studied materials. At the same temperature, the LDH obtained from waste developed a higher adsorption performance than the LDH obtained from the reagent.</p>
<p>It can be concluded that the equilibrium between the studied LDHs and the adsorbate is achieved quite quickly, regardless of working parameters. The largest quantity of Orange II is retained by the studied LDHs in the first 5 min of stirring, then the adsorption capacities of the material present a slow increase in time due to the decrease of the active site available for adsorption. After 15 min of contact between the two phases, the adsorption capacities of the studied materials are not influenced by the stirring time. It can be concluded that the studied layered double hydroxides are more efficient adsorbent materials for Orange II removal, than other adsorbents reported in literature due to the fact that in this case the equilibrium is achieved more quickly. In case of Orange II adsorption onto metal-Organic Framework (MOF) iron-benzenetricarboxylate (Fe(BTC)), the equilibrium is achieved between 80 and 140 min (Garc&#x000ED;a et al., <xref ref-type="bibr" rid="B12">2014</xref>) and through adsorption onto phosphoric-acid modified clam shell powder after 90 min of stirring (Ma et al., <xref ref-type="bibr" rid="B35">2013</xref>).</p>
<p>In order to investigate the mechanism of adsorption of Orange II onto LDH-R and LDH-W, kinetic models are used to test the experimental data. The experimental curves were fitted with the linear forms of the pseudo-first order (PFO) (Equation 3) (Georgin et al., <xref ref-type="bibr" rid="B13">2016</xref>) and pseudo-second order (PSO) (Equation 4) (Hu et al., <xref ref-type="bibr" rid="B21">2010</xref>; Plazinski et al., <xref ref-type="bibr" rid="B40">2013</xref>; Georgin et al., <xref ref-type="bibr" rid="B13">2016</xref>; Zaheer et al., <xref ref-type="bibr" rid="B49">2019</xref>) models:</p>
<disp-formula id="E3"><label>(3)</label><mml:math id="M3"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mo class="qopname">ln</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo stretchy="true">)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mi>l</mml:mi><mml:mi>n</mml:mi><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mi>t</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E4"><label>(4)</label><mml:math id="M4"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mi>t</mml:mi></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>k</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msubsup><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:mfrac><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:mi>t</mml:mi></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where k<sub>1</sub> (min<sup>&#x02212;1</sup>) and k<sub>2</sub> (g mg<sup>&#x02212;1</sup> min<sup>&#x02212;1</sup>) are the rate constants of the PFO and PSO models, respectively; q<sub>e</sub> and q<sub>t</sub> (mg g<sup>&#x02212;1</sup>) are the equilibrium adsorption capacity and the adsorption capacity at time t (min), respectively.</p>
<p>The kinetic parameters k<sub>1</sub> and q<sub>e</sub> were determined from the slope and intercept of the linear plot ln(q<sub>e</sub>-q<sub>t</sub>) vs. t (figures omitted for the sake of brevity). For the PSO the graphical representations of t/q<sub>t</sub>=f(t) were used in order to determine the kinetic parameters k<sub>2</sub> and q<sub>e</sub> (<xref ref-type="fig" rid="F5">Figure 5</xref>). The kinetic parameter together with the obtained correlation coefficients are presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary Table 2</xref>.</p>
<fig id="F5" position="float">
<label>Figure 5</label>
<caption><p>Pseudo-second-order kinetic models for adsorption of Orange II at: <bold>(A)</bold> different pH; <bold>(B)</bold> different S:L ratio; <bold>(C)</bold> different dye concentrations; <bold>(D)</bold> different temperatures.</p></caption>
<graphic xlink:href="fchem-08-573535-g0005.tif"/>
</fig>
<p>The plots of t/q<sub>t</sub> vs. t show good linearity, regardless of the working conditions, implying that the adsorption system follows the pseudo-second-order kinetic model. In all cases the correlations coefficients obtained for the fitting of the experimental data with the PSO model is close to unity compared with the correlation&#x00027;s coefficients obtained in case of the fitting of the experimental data with the PFO model. Furthermore, the q<sub>e</sub> calculated from the linear plot of the PSO kinetic model are close to those experimentally determined. All of this suggests that the pseudo second order kinetic model describes the adsorption of Orange II onto the studied LDH, implying a chemisorption process.</p>
</sec>
</sec>
<sec>
<title>Equilibrium Studies</title>
<p>In order to determine the maximum adsorption capacities of the studied materials, equilibrium studies were performed with solutions containing initial concentration of Orange II between 10 and 100 mg/L, a S:L ratio of 1 g/L, at three different temperatures (293, 308, and 323 K). Due to the fact that, at 323 K, the equilibrium was not reached with the same starting dye solutions as in previous experiments, we performed the equilibrium studies with an initial concentration of Orange II between 40 and 200 mg/L.</p>
<p>The experimental data were fitted with the non-linear form of the Langmuir and Freundlich isotherms in order to describe the equilibrium between the adsorbent materials and Orange II. The non-linear mathematical expression of Langmuir model is represented in Equation (5) (Tran et al., <xref ref-type="bibr" rid="B47">2016</xref>):</p>
<disp-formula id="E5"><label>(5)</label><mml:math id="M5"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi><mml:mi>a</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where q<sub>max</sub> (mg/g) is the maximum saturated monolayer adsorption capacity under the given conditions and K<sub>L</sub> (L/mg) is the Langmuir constant related to the affinity between an adsorbent and adsorbate.</p>
<p>The non-linear form of Freundlich isotherm is described by Equation (6):</p>
<disp-formula id="E6"><label>(6)</label><mml:math id="M6"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>F</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msubsup><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:msubsup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where K<sub>F</sub> (mg/g)(L/mg)<sup>1/n</sup> is the Freundlich constant and 1/n (0 &#x0003C; n &#x0003C; 10) is a Freundlich intensity parameter.</p>
<p>The equilibrium isotherms of Orange II adsorption onto LDH-R and LDH-W at the studied temperatures are shown in <xref ref-type="fig" rid="F6">Figures 6</xref>&#x02013;<xref ref-type="fig" rid="F8">8</xref>. The equilibrium isotherms parameters, together with the obtained correlation coefficients, are presented in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<fig id="F6" position="float">
<label>Figure 6</label>
<caption><p>Equilibrium isotherms of Orange II adsorption onto: <bold>(A)</bold> LDH-R and <bold>(B)</bold> LDH-W at 293 K.</p></caption>
<graphic xlink:href="fchem-08-573535-g0006.tif"/>
</fig>
<fig id="F7" position="float">
<label>Figure 7</label>
<caption><p>Equilibrium isotherms of Orange II adsorption onto: <bold>(A)</bold> LDH-R and <bold>(B)</bold> LDH-W at 308 K.</p></caption>
<graphic xlink:href="fchem-08-573535-g0007.tif"/>
</fig>
<fig id="F8" position="float">
<label>Figure 8</label>
<caption><p>Equilibrium isotherms of Orange II adsorption onto: <bold>(A)</bold> LDH-R and <bold>(B)</bold> LDH-W at 323 K.</p></caption>
<graphic xlink:href="fchem-08-573535-g0008.tif"/>
</fig>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Equilibrium parameters for Orange II adsorption onto LDH-R and LDH-W.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Model</bold></th>
<th valign="top" align="center"><bold>T(K)</bold></th>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-R</bold></th>
<th valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-W</bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>q<sub>max</sub>, mg/g</bold></th>
<th valign="top" align="center"><bold>K<sub><italic>L</italic></sub>, L/mg</bold></th>
<th valign="top" align="center"><bold><italic>R</italic><sup>2</sup></bold></th>
<th valign="top" align="center" colspan="2" style="border-bottom: thin solid #000000;"><bold>q<sub>max</sub>, mg/g</bold></th>
<th valign="top" align="center"><bold>K<sub><italic>L</italic></sub>, L/mg</bold></th>
<th valign="top" align="center"><bold><italic>R</italic><sup>2</sup></bold></th>
</tr>
<tr>
<th/>
<th/>
<th valign="top" align="center"><bold>Exp</bold></th>
<th valign="top" align="center"><bold>Calc</bold></th>
<th/>
<th/>
<th valign="top" align="center"><bold>Exp</bold></th>
<th valign="top" align="center"><bold>Calc</bold></th>
<th/>
<th/>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Langmuir</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center">36.9</td>
<td valign="top" align="center">35.75</td>
<td valign="top" align="center">1.161</td>
<td valign="top" align="center">0.9814</td>
<td valign="top" align="center">42.5</td>
<td valign="top" align="center">42.00</td>
<td valign="top" align="center">0.991</td>
<td valign="top" align="center">0.9871</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">308</td>
<td valign="top" align="center">40.17</td>
<td valign="top" align="center">37.93</td>
<td valign="top" align="center">0.551</td>
<td valign="top" align="center">0.9412</td>
<td valign="top" align="center">43.72</td>
<td valign="top" align="center">43.22</td>
<td valign="top" align="center">0.715</td>
<td valign="top" align="center">0.9201</td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td valign="top" align="center">323</td>
<td valign="top" align="center">117</td>
<td valign="top" align="center">127.34</td>
<td valign="top" align="center">0.106</td>
<td valign="top" align="center">0.9949</td>
<td valign="top" align="center">126</td>
<td valign="top" align="center">142.02</td>
<td valign="top" align="center">0.147</td>
<td valign="top" align="center">0.9542</td>
</tr> <tr>
<td/>
<td valign="top" align="center"><bold>T(K)</bold></td>
<td valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-R</bold></td>
<td valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-W</bold></td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td/>
<td valign="top" align="center" colspan="2"><bold>K</bold><sub><bold>F</bold></sub><bold>, (mg/g)(L/mg)</bold><sup><bold>1/<italic>n</italic></bold></sup></td>
<td valign="top" align="center"><bold>1/n</bold></td>
<td valign="top" align="center"><italic><bold>R</bold></italic><sup><bold>2</bold></sup></td>
<td valign="top" align="center" colspan="2"><bold>K</bold><sub><bold>F</bold></sub><bold>, (mg/g)(L/mg)</bold><sup><bold>1/<italic>n</italic></bold></sup></td>
<td valign="top" align="center"><bold>1/n</bold></td>
<td valign="top" align="center"><italic><bold>R</bold></italic><sup><bold>2</bold></sup></td>
</tr> <tr>
<td valign="top" align="left">Freundlich</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center" colspan="2">17.69</td>
<td valign="top" align="center">0.187</td>
<td valign="top" align="center">0.9111</td>
<td valign="top" align="center" colspan="2">20.11</td>
<td valign="top" align="center">0.198</td>
<td valign="top" align="center">0.8643</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">308</td>
<td valign="top" align="center" colspan="2">14.88</td>
<td valign="top" align="center">0.245</td>
<td valign="top" align="center">0.9431</td>
<td valign="top" align="center" colspan="2">18.79</td>
<td valign="top" align="center">0.223</td>
<td valign="top" align="center">0.8831</td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td valign="top" align="center">323</td>
<td valign="top" align="center" colspan="2">26.68</td>
<td valign="top" align="center">0.348</td>
<td valign="top" align="center">0.9388</td>
<td valign="top" align="center" colspan="2">34.34</td>
<td valign="top" align="center">0.324</td>
<td valign="top" align="center">0.8128</td>
</tr> <tr>
<td/>
<td valign="top" align="center"><bold>T(K)</bold></td>
<td valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-R</bold></td>
<td valign="top" align="center" colspan="4" style="border-bottom: thin solid #000000;"><bold>LDH-W</bold></td>
</tr>
<tr style="border-bottom: thin solid #000000;">
<td/>
<td/>
<td valign="top" align="center"><bold>q&#x00027;<sub>max</sub>, mg/g</bold></td>
<td valign="top" align="center"><bold>B</bold><sub><bold>D</bold></sub> <bold>x 10</bold><sup><bold>7</bold></sup><bold>, mol</bold><sup><bold>2</bold></sup><bold>/J</bold><sup><bold>2</bold></sup></td>
<td valign="top" align="center"><bold>E, kJ/mol</bold></td>
<td valign="top" align="center"><italic><bold>R</bold></italic><sup><bold>2</bold></sup></td>
<td valign="top" align="center"><bold>q&#x00027;<sub>max</sub>, mg/g</bold></td>
<td valign="top" align="center"><bold>B</bold><sub><bold>D</bold></sub> <bold>x 10</bold><sup><bold>7</bold></sup><bold>, mol</bold><sup><bold>2</bold></sup><bold>/J</bold><sup><bold>2</bold></sup></td>
<td valign="top" align="center"><bold>E, kJ/mol</bold></td>
<td valign="top" align="center"><italic><bold>R</bold></italic><sup><bold>2</bold></sup></td>
</tr> <tr>
<td valign="top" align="left">Dubinin-Radushkevich</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center">33.87</td>
<td valign="top" align="center">1.305</td>
<td valign="top" align="center">1.957</td>
<td valign="top" align="center">0.9819</td>
<td valign="top" align="center">39.96</td>
<td valign="top" align="center">1.464</td>
<td valign="top" align="center">1.848</td>
<td valign="top" align="center">0.9863</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">308</td>
<td valign="top" align="center">35.33</td>
<td valign="top" align="center">2.964</td>
<td valign="top" align="center">1.299</td>
<td valign="top" align="center">0.9681</td>
<td valign="top" align="center">38.83</td>
<td valign="top" align="center">1.696</td>
<td valign="top" align="center">1.717</td>
<td valign="top" align="center">0.8164</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">323</td>
<td valign="top" align="center">77.01</td>
<td valign="top" align="center">3.11</td>
<td valign="top" align="center">1.268</td>
<td valign="top" align="center">0.8050</td>
<td valign="top" align="center">87.46</td>
<td valign="top" align="center">5.11</td>
<td valign="top" align="center">0.99</td>
<td valign="top" align="center">0.8335</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The adsorption performance of the studied materials increases with the increase of the working temperatures. At 323 K the maximum adsorption capacities developed by LDH-R and LDH-W is 117 and 126 mg/g, respectively. These values are almost 3 times higher than the maximum adsorption capacities resulted at 293 K. Due to the fact that the isotherms present an S shape at 323 K the initial concentration of Orange II was increased until the equilibrium was reached. According to Giles and et al., this shape is obtained when the compounds containing a sulfonate group and an aromatic ring are absorbed vertically to the adsorbent surface, implying strong intermolecular forces (Giles et al., <xref ref-type="bibr" rid="B16">1960</xref>). At a higher temperature, the diffusion and mobility of the Orange II particles are increased leading to a higher mass transfer rate from solutions to the surface of the studied LDHs. Furthermore, this behavior suggests that the adsorption of Orange II onto LDHs materials is a chemisorption. By increasing the temperature, the rate of the chemical reaction increases, the favorable intermolecular forces between the LDHs surface and dye are much stronger than those between adsorbate and solvent (Kaur et al., <xref ref-type="bibr" rid="B25">2013</xref>; Gupta et al., <xref ref-type="bibr" rid="B17">2017</xref>). The increase in adsorption capacities of adsorbents with an increase in temperature may also be attributed to the pore size enlargement (Demirbas et al., <xref ref-type="bibr" rid="B11">2008</xref>; Banerjee and Chattopadhyaya, <xref ref-type="bibr" rid="B4">2017</xref>).</p>
<p>It is observed that for both adsorbents the curves obtained from the two models reproduce, with sufficient accuracy, the experimental data. Also, for various temperatures and both models, the values of the correlation coefficient <italic>R</italic><sup>2</sup> are higher for LDH-R and, for the same type of adsorbent, these values are higher for the Langmuir model (<xref ref-type="table" rid="T2">Table 2</xref>). Furthermore, the maximum adsorption capacities developed by the studied adsorbent and experimentally determined are close to those calculated from the Langmuir isotherm, regardless of the working temperatures. These data indicate that the Langmuir model described the adsorption of Orange II onto the studied LDHs on the entire concentration range, suggesting that the adsorption takes place from a monolayer onto the adsorbent surface (Tran et al., <xref ref-type="bibr" rid="B47">2016</xref>). The LDH obtained from waste developed a higher maximum adsorption capacity than the LDH synthesized from reagents (<xref ref-type="table" rid="T2">Table 2</xref>).</p>
<p>The strength of adsorption is indicated by the magnitude of the Freundlich constant (K<sub>F</sub>), which is the highest at the highest temperature (for both adsorbents) and for LDH-W (at the same temperature). For all the cases the Freundlich parameters 1/n present sub unitary values which indicates the affinity of Orange II for the studied adsorbents (Gupta et al., <xref ref-type="bibr" rid="B17">2017</xref>).</p>
<p>In order to determine if the Orange II adsorption takes place due to a physisorption or a chemisorption process, the adsorption energy E was estimated by applying the Dubinin-Radushkevich (D-R) isotherm. The linearized form of this isotherm is given in Equation (7) (Hadi et al., <xref ref-type="bibr" rid="B19">2010</xref>):</p>
<disp-formula id="E7"><label>(7)</label><mml:math id="M9"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mo class="qopname">ln</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mo class="qopname">ln</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>m</mml:mi></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msup><mml:mrow><mml:mi>&#x003B5;</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where B<sub>D</sub> is the D-R model constant (mol<sup>2</sup>/kJ<sup>2</sup>) and &#x003B5; is the Polanyi potential (Equation 8):</p>
<disp-formula id="E8"><label>(8)</label><mml:math id="M10"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>&#x003B5;</mml:mi><mml:mo>=</mml:mo><mml:mi>R</mml:mi><mml:mo>&#x000B7;</mml:mo><mml:mi>T</mml:mi><mml:mo>&#x000B7;</mml:mo><mml:mo class="qopname">ln</mml:mo><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mn>1</mml:mn><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The adsorption energy E whose magnitude can provide information on adsorption mechanisms is determined from Equation (9), B<sub>D</sub> being determined from the linear representation of lnq<sub>e</sub>=f(&#x003B5;<sup>2</sup>):</p>
<disp-formula id="E9"><label>(9)</label><mml:math id="M11"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msqrt><mml:mrow><mml:mn>2</mml:mn><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mi>D</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msqrt></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The D-R isotherm parameters are presented in <xref ref-type="table" rid="T2">Table 2</xref>. The low values of the adsorption energy confirm that the dye adsorption on both adsorbents is physically achieved. The maximum adsorption capacities calculated from the D-R isotherms present values lower than those experimentally obtained.</p>
<p>Due to the fact that the Langmuir isotherm best described the adsorption of Orange II onto the studied LDHs, the equilibrium experimental data were also fitted with its four linear forms which are presented in Equations (10)&#x02013;(13) (Tran et al., <xref ref-type="bibr" rid="B47">2016</xref>):</p>
<p>Langmuir linearization (type 1):</p>
<disp-formula id="E10"><label>(10)</label><mml:math id="M12"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Langmuir linearization (type 2):</p>
<disp-formula id="E11"><label>(11)</label><mml:math id="M13"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Langmuir linearization (type 3):</p>
<disp-formula id="E12"><label>(12)</label><mml:math id="M14"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>Langmuir linearization (type 4):</p>
<disp-formula id="E13"><label>(13)</label><mml:math id="M15"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>=</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mo class="qopname">max</mml:mo></mml:mrow></mml:msub><mml:mo>-</mml:mo><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>L</mml:mi></mml:mrow></mml:msub><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The symbols have the same meaning as described before. The applicability of these isotherms was compared based on the error function values: correlation coefficient <italic>R</italic><sup>2</sup>, chi-square test &#x003C7;<sup>2</sup> (Equation 14) (Hadi et al., <xref ref-type="bibr" rid="B19">2010</xref>), average relative error ARE (Equation 15) (Li et al., <xref ref-type="bibr" rid="B32">2017</xref>), and normalized standard deviation &#x00394;q (Equation 16) (Lv et al., <xref ref-type="bibr" rid="B34">2007</xref>):</p>
<disp-formula id="E14"><label>(14)</label><mml:math id="M16"><mml:mrow><mml:msup><mml:mi>&#x003C7;</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:msubsup><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mrow><mml:mfrac><mml:mrow><mml:msup><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>exp</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:mstyle></mml:mrow></mml:math></disp-formula>
<disp-formula id="E15"><label>(15)</label><mml:math id="M17"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mi>A</mml:mi><mml:mi>R</mml:mi><mml:mi>E</mml:mi><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mn>100</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:msub><mml:mstyle displaystyle="true"><mml:msubsup><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mrow><mml:mrow><mml:mo stretchy="false">|</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mtext>&#x02009;</mml:mtext><mml:mi>exp</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">|</mml:mo></mml:mrow></mml:mrow></mml:mstyle><mml:mi>i</mml:mi></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E16"><label>(16)</label><mml:math id="M18"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mo>&#x00394;</mml:mo><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mn>100</mml:mn><mml:mo>&#x000B7;</mml:mo><mml:msqrt><mml:mrow><mml:mfrac><mml:mn>1</mml:mn><mml:mrow><mml:mi>n</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:mfrac><mml:mo>&#x000B7;</mml:mo><mml:msubsup><mml:mrow><mml:mstyle displaystyle="true"><mml:msubsup><mml:mo>&#x02211;</mml:mo><mml:mrow><mml:mi>i</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:mrow><mml:mi>n</mml:mi></mml:msubsup><mml:mrow><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>exp</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>c</mml:mi><mml:mi>a</mml:mi><mml:mi>l</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>q</mml:mi><mml:mrow><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mi>exp</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mrow><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:mstyle></mml:mrow><mml:mi>i</mml:mi><mml:mn>2</mml:mn></mml:msubsup></mml:mrow></mml:msqrt></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The Langmuir parameters determined from its linear representations (figures omitted for the sake of brevity) are presented in <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 3, 4</xref>.</p>
<p>Each of the four linear forms of the Langmuir isotherm will result in different parameter estimates as shown in <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 3</xref>, <xref ref-type="supplementary-material" rid="SM1">4</xref>. The adsorption of Orange II onto LDH-R and LDH-W adsorbents is well-represented by the Langmuir type I model with highest coefficient of determinations; <italic>R</italic><sup>2</sup> values as shown in <xref ref-type="supplementary-material" rid="SM1">Supplementary Tables 3</xref>, <xref ref-type="supplementary-material" rid="SM1">4</xref>, indicate that there is strong evidence that the sorption of the chosen dye onto the prepared samples follows the Langmuir isotherm.</p>
</sec>
<sec>
<title>Thermodynamic Studies</title>
<p>The thermodynamic parameters were calculated according to the following equations (Kaur et al., <xref ref-type="bibr" rid="B25">2013</xref>; Banerjee and Chattopadhyaya, <xref ref-type="bibr" rid="B4">2017</xref>; Gupta et al., <xref ref-type="bibr" rid="B17">2017</xref>):</p>
<disp-formula id="E17"><label>(17)</label><mml:math id="M19"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mo>&#x00394;</mml:mo><mml:msup><mml:mrow><mml:mi>G</mml:mi></mml:mrow><mml:mrow><mml:mi>o</mml:mi></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:mo>-</mml:mo><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:mo class="qopname">ln</mml:mo><mml:mtext>&#x000A0;</mml:mtext><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E18"><label>(18)</label><mml:math id="M20"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mo>&#x00394;</mml:mo><mml:mi>G</mml:mi><mml:mo>&#x000B0;</mml:mo><mml:mo>=</mml:mo><mml:mo>&#x00394;</mml:mo><mml:mi>H</mml:mi><mml:mo>&#x000B0;</mml:mo><mml:mo>&#x02212;</mml:mo><mml:mi>T</mml:mi><mml:mo>&#x00394;</mml:mo><mml:mi>S</mml:mi><mml:mo>&#x000B0;</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E19"><label>(19)</label><mml:math id="M21"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:mrow><mml:mi>ln</mml:mi><mml:mo>&#x000A0;</mml:mo><mml:msub><mml:mi>K</mml:mi><mml:mi>d</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mo>&#x00394;</mml:mo><mml:mi>S</mml:mi><mml:mo>&#x000B0;</mml:mo></mml:mrow><mml:mi>R</mml:mi></mml:mfrac><mml:mo>&#x02212;</mml:mo><mml:mfrac><mml:mrow><mml:mo>&#x00394;</mml:mo><mml:mi>H</mml:mi><mml:mo>&#x000B0;</mml:mo></mml:mrow><mml:mrow><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mfrac></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<disp-formula id="E20"><label>(20)</label><mml:math id="M22"><mml:mtable class="eqnarray" columnalign="left"><mml:mtr><mml:mtd><mml:msub><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:msub><mml:mrow><mml:mi>q</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mi>e</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>where: &#x00394;G&#x000B0; is Gibbs free energy (KJ/mol), &#x00394;S&#x000B0; is the entropy and heat of adsorption (J/mol K), &#x00394;H&#x000B0; is enthalpy (kJ/mol), T is the absolute temperature (K), R is universal gas constant (8.314 J/(mol&#x000B7;K)), and K<sub>d</sub> is the distribution coefficient.</p>
<p>&#x00394;H&#x000B0; and &#x00394;S&#x000B0; were obtained from the slope and intercept of van&#x00027;t Hoff plots of lnK<sub>d</sub> vs. 1/T (<xref ref-type="fig" rid="F9">Figure 9</xref>) and the resulted values, together with the Gibbs free energy calculated with Equation (17) and the correlation coefficients, are presented in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<fig id="F9" position="float">
<label>Figure 9</label>
<caption><p>Effect of temperature on the adsorption of Orange II onto the studied materials.</p></caption>
<graphic xlink:href="fchem-08-573535-g0009.tif"/>
</fig>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>Thermodynamic parameters of Orange II adsorption onto the studied materials.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Adsorbent</bold></th>
<th valign="top" align="center"><bold>T (K)</bold></th>
<th valign="top" align="center"><bold>R<sup><bold>2</bold></sup></bold></th>
<th valign="top" align="left"><bold>&#x00394;G<sup><bold>&#x000B0;</bold></sup> (kJ/mol)</bold></th>
<th valign="top" align="left"><bold>&#x00394;H<sup><bold>&#x000B0;</bold></sup> (kJ/mol)</bold></th>
<th valign="top" align="left"><bold>&#x00394;S<sup><bold>&#x000B0;</bold></sup> (J/mol K)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">LDH-R</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center">0.9798</td>
<td valign="top" align="left">&#x02212;0.126</td>
<td valign="top" align="left">19.3</td>
<td valign="top" align="left">66.3</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">308</td>
<td/>
<td valign="top" align="left">&#x02212;1.12</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="center">323</td>
<td/>
<td valign="top" align="left">&#x02212;2.11</td>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">LDH-W</td>
<td valign="top" align="center">293</td>
<td valign="top" align="center">0.9708</td>
<td valign="top" align="left">&#x02212;0.163</td>
<td valign="top" align="left">17.3</td>
<td valign="top" align="left">59.6</td>
</tr>
<tr>
<td/>
<td valign="top" align="center">308</td>
<td/>
<td valign="top" align="left">&#x02212;1.06</td>
<td/>
<td/>
</tr>
<tr>
<td/>
<td valign="top" align="center">323</td>
<td/>
<td valign="top" align="left">&#x02212;1.95</td>
<td/>
<td/>
</tr>
</tbody>
</table>
</table-wrap>
<p>The positive value of &#x00394;H&#x000B0; thermodynamically substantiates the assumption that the adsorption of Orange II on the studied LDH is endothermic in nature. The feasibility and spontaneity of the adsorption process was confirmed by the obtained negative values of &#x00394;G&#x000B0;. The positive value of &#x00394;S<bold>&#x000B0;</bold> suggested an increase in randomness at the solid/liquid interface during adsorption of Orange II dye onto the studied materials. Adsorption is then likely to occur spontaneously at a high temperature because &#x00394;H&#x000B0; &#x0003E; 0 and &#x00394;S&#x000B0; &#x0003E; 0 (see <xref ref-type="table" rid="T3">Table 3</xref>) (Kaur et al., <xref ref-type="bibr" rid="B25">2013</xref>; Banerjee and Chattopadhyaya, <xref ref-type="bibr" rid="B4">2017</xref>; Gupta et al., <xref ref-type="bibr" rid="B17">2017</xref>).</p>
</sec>
<sec>
<title>The Structural Characterization of Exhausted Materials After Adsorption</title>
<p>The XRD patterns of exhausted adsorbents are presented in <xref ref-type="fig" rid="F10">Figure 10</xref>. The diffraction peaks of materials after Orange II dye adsorption are characteristic for layered double hydroxides with carbonate as an interlayer anion, since no modification in the position of the main peaks and basal spacing occurred. The basal spacing d<sub>003</sub> and the d<sub>110</sub> distances (cation-cation distance in the hydroxides layer) of the as-synthetized materials were d<sub>003</sub> = 7.605 &#x000C5; (d<sub>110</sub> = 3.082 &#x000C5;) for Zn<sub>2</sub>Al &#x02013; LDH prepared from zinc ash and d<sub>003</sub> = 7.598 &#x000C5; (d<sub>110</sub> = 3.080 &#x000C5;) for Zn<sub>2</sub>Al &#x02013; LDH prepared from analytical grade reagents (Cocheci et al., <xref ref-type="bibr" rid="B10">2018</xref>). For the materials separated after Orange II adsorption, the basal spacing and d<sub>110</sub> distances are: d<sub>003</sub> = 7.593 &#x000C5; (d<sub>110</sub> = 3.079 &#x000C5;) for LDH &#x02013; W (prepared from waste) and d<sub>003</sub> = 7.587 &#x000C5; (d<sub>110</sub> = 3.077 &#x000C5;) for LDH &#x02013; R (prepared from analytical grade reagents). Studies regarding Orange II intercalation in the interlayer space of layered double hydroxides find that the basal spacing became larger due to this intercalation (Geraud et al., <xref ref-type="bibr" rid="B14">2007</xref>; Liu et al., <xref ref-type="bibr" rid="B33">2007</xref>). The unchanged basal spacing in our case suggests that, due to the presence of a carbonate anion in the interlayer space of LDH (due to the strong electrostatic attraction and the hydrogen bonds that the carbonate creates with the hydroxides layer), the organic dye was adsorbed on the surface of the layered double hydroxides.</p>
<fig id="F10" position="float">
<label>Figure 10</label>
<caption><p>The XRD patterns of <bold>(A)</bold> LDH&#x02013;R and <bold>(B)</bold> LDH&#x02013;W after Orange II adsorption.</p></caption>
<graphic xlink:href="fchem-08-573535-g0010.tif"/>
</fig>
<p>The FTIR spectrum of Orange II (<xref ref-type="fig" rid="F11">Figure 11</xref>) presents several absorption bands between 1,700 and 1,000 cm<sup>&#x02212;1</sup>; the bands with maxima at 1,662 and 1,622 cm<sup>&#x02212;1</sup> correspond to a combination of phenyl ring vibrations with stretching of the C = N groups (Stylidi et al., <xref ref-type="bibr" rid="B46">2004</xref>; Zhang et al., <xref ref-type="bibr" rid="B50">2007</xref>). The band with a maximum at 1,614 cm<sup>&#x02212;1</sup> correspond to carbonyl (C = O) stretching vibrations and the maximum at 1,473 cm<sup>&#x02212;1</sup> are attributable to N = N stretching vibrations. The bands with maxima at 1,396 cm<sup>&#x02212;1</sup> and 1,320 cm<sup>&#x02212;1</sup> could be attributed to O &#x02013; H bending vibrations (Stylidi et al., <xref ref-type="bibr" rid="B45">2003</xref>). The absorption band with a maximum at 1,090 cm<sup>&#x02212;1</sup> could be attributed to the &#x003BD;(N &#x02013; N) stretching vibrations, and the maxima located at 1,153 cm<sup>&#x02212;1</sup> and 1,045 cm<sup>&#x02212;1</sup> correspond to the coupling between the phenyl ring and the &#x003BD;<sub>s</sub>(SO<sub>3</sub>) mode of the sulfonate group (Zhang et al., <xref ref-type="bibr" rid="B50">2007</xref>).</p>
<fig id="F11" position="float">
<label>Figure 11</label>
<caption><p>FTIR spectra of <bold>(A)</bold> Orange II dye; <bold>(B)</bold> LDH&#x02013;R after adsorption; <bold>(C)</bold> LDH&#x02013;W after adsorption.</p></caption>
<graphic xlink:href="fchem-08-573535-g0011.tif"/>
</fig>
<p>The FTIR spectra of exhausted adsorbents present the main absorption bands that are characteristic of layered double hydroxides but also show some small shoulders that correspond to the vibrations of sulfonate groups of Orange II dye (<xref ref-type="fig" rid="F11">Figure 11</xref>). The main FTIR absorption bands of LDH &#x02013; R (<xref ref-type="fig" rid="F11">Figure 11B</xref>) and LDH &#x02013; W (<xref ref-type="fig" rid="F11">Figure 11C</xref>) could be attributed as follows: the strong band at 3,380 cm<sup>&#x02212;1</sup> is attributable to O &#x02013; H stretching vibrations of Zn and Al hydroxides from the layer, the band with a maximum at 1,360 cm<sup>&#x02212;1</sup> could be assigned to the stretching &#x003BD;<sub>3</sub> mode of carbonate. The small shoulders at 1,504 cm<sup>&#x02212;1</sup> can be attributed to a lowered carbonate symmetry that activated the &#x003BD;<sub>1</sub> vibration mode of carbonate (Carja et al., <xref ref-type="bibr" rid="B8">2001</xref>). The lowering of the carbonate symmetry activated the appearances of some weak shoulders corresponding to the &#x003BD;<sub>2</sub> and &#x003BD;<sub>4</sub> vibration mode of carbonate, visible at around 920 cm<sup>&#x02212;1</sup> and 600 cm<sup>&#x02212;1</sup>, respectively (Kloprogge et al., <xref ref-type="bibr" rid="B27">2002</xref>). The band located around 770 cm<sup>&#x02212;1</sup> and the band at around 550 cm<sup>&#x02212;1</sup> may be due to the Al &#x02013; O or Zn &#x02013; Al &#x02013; O bond vibrations in the brucite-like layer (Cocheci et al., <xref ref-type="bibr" rid="B10">2018</xref>). The small shoulders that are located at 1,120 cm<sup>&#x02212;1</sup> and 1,005 cm<sup>&#x02212;1</sup> could be assigned to the bands of sulfonate group of Orange II dye that are shifted to lower frequencies due to the interactions with the hydroxides layer (Geraud et al., <xref ref-type="bibr" rid="B14">2007</xref>).</p>
<p>The adsorption mechanism of Orange II onto the LDH-R or LDH-R adsorbents might involve two paths: external surface adsorption of dye <italic>via</italic> electrostatic interactions or replacement of carbonate anions from the interlayer region by the sulfonate group <italic>via</italic> anionic exchange (Lei et al., <xref ref-type="bibr" rid="B30">2017</xref>; Srilakshmi and Thirunavukkarasu, <xref ref-type="bibr" rid="B44">2019</xref>). From the structural characterization of exhausted materials after adsorption, it could be concluded that, in this case, the mechanism of Orange II adsorption onto the studied materials involves electrostatic interactions. This conclusion is in agreement with reports of other researchers who studied the adsorption of different anionic dyes on similar adsorbent materials (Geraud et al., <xref ref-type="bibr" rid="B14">2007</xref>; Khosla et al., <xref ref-type="bibr" rid="B26">2013</xref>; Garc&#x000ED;a et al., <xref ref-type="bibr" rid="B12">2014</xref>; Jin et al., <xref ref-type="bibr" rid="B23">2014</xref>). The schematic representation on Orange II adsorption onto the surface of adsorbents is presented in <xref ref-type="fig" rid="F12">Figure 12</xref>.</p>
<fig id="F12" position="float">
<label>Figure 12</label>
<caption><p>Schematic representation on Orange II adsorption onto surface of adsorbents.</p></caption>
<graphic xlink:href="fchem-08-573535-g0012.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusions" id="s4">
<title>Conclusions</title>
<p>In the present paper, the performance of Zn<sub>2</sub>Al-layered double hydroxide, prepared from an industrial waste (zinc ash) as a source of zinc, and of Zn<sub>2</sub>Al-layered double hydroxide prepared from analytical grade reagents, as a reference, in the Orange II dye adsorption process, was investigated. The influence of initial dye concentration, time of adsorption, solid:liquid ratio, pH, and temperature was evaluated in order to confirm the benefit of this waste valorization. It was observed that the Orange II adsorption is strongly influenced by the studied parameters, the most efficient results being obtained at an initial pH value around 6, using a solid:liquid ratio of 1 g/L. The Orange II adsorption onto the studied LDH takes place very quickly, most of the dye content being adsorbed in the first 5 min, then the equilibrium is achieved in 15 min, regardless of the working conditions. The kinetic studies showed that the adsorption is described by the pseudo-second order and the equilibrium data presented a good fit with the Langmuir isotherm. The adsorption capacities increase with the increase of working temperature, and the thermodynamic parameters suggest the process of removal was spontaneous and endothermic. These results correlated with the results obtained from the structural characterization of exhausted materials after adsorption, through RX and FTIR, suggesting that the Orange II adsorption onto the studied materials occurs due to a chemisorption, implying strong intermolecular forces between the sulfonate group of the dye and the active sites of the adsorbent surface. For all the working conditions the LDH obtained from zinc ash shows better adsorption capacities than the material prepared from reagents, justifying the utilization of secondary sources for layered double hydroxides preparation. The proposed treatment process presents advantages from both an economic and environmental protection point of view.</p>
</sec>
<sec sec-type="data-availability-statement" id="s5">
<title>Data Availability Statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>LC and LL designed the study. AT and IC performed the experiments. LL and GR performed the instrumental analysis. AT, LC, and LL analyzed the data and wrote the paper with input from all authors.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<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>
</body>
<back>
<sec sec-type="supplementary-material" id="s7">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fchem.2020.573535/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fchem.2020.573535/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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