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<front>
<journal-meta>
<journal-id journal-id-type="pmc">JRM</journal-id>
<journal-id journal-id-type="nlm-ta">JRM</journal-id>
<journal-id journal-id-type="publisher-id">JRM</journal-id>
<journal-title-group>
<journal-title>Journal of Renewable Materials</journal-title>
</journal-title-group>
<issn pub-type="epub">2164-6341</issn>
<issn pub-type="ppub">2164-6325</issn>
<publisher>
<publisher-name>Tech Science Press</publisher-name>
<publisher-loc>USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">25431</article-id>
<article-id pub-id-type="doi">10.32604/jrm.2023.025431</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Article</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>The Adsorption of Pb(II) Using Silica Gel Synthesized from Chemical Bottle Waste: Optimization Using Box-Behnken Design</article-title><alt-title alt-title-type="left-running-head">The Adsorption of Pb(II) Using Silica Gel Synthesized from Chemical Bottle Waste: Optimization Using Box-Behnken Design</alt-title><alt-title alt-title-type="right-running-head">The Adsorption of Pb(II) Using Silica Gel Synthesized from Chemical Bottle Waste: Optimization Using Box-Behnken Design</alt-title>
</title-group>
<contrib-group>
<contrib id="author-1" contrib-type="author" corresp="yes">
<name name-style="western"><surname>Ni&#x2019;mah</surname><given-names>Yatim Lailun</given-names></name><email>yatimnikmah@gmail.com</email>
</contrib>
<contrib id="author-2" contrib-type="author">
<name name-style="western"><surname>Yuningsih</surname><given-names>Nabila Eka</given-names></name>
</contrib>
<contrib id="author-3" contrib-type="author">
<name name-style="western"><surname>Suprapto</surname><given-names>Suprapto</given-names></name>
</contrib>
<aff id="aff-1"><institution>Department of Chemistry, Faculty of Science and Data Analytics, Institut Teknologi Sepuluh Nopember</institution>, <addr-line>Surabaya</addr-line>, <country>Indonesia</country></aff>
</contrib-group><author-notes><corresp id="cor1"><label>&#x002A;</label>Corresponding Author: Yatim Lailun Ni&#x2019;mah. Email: <email>yatimnikmah@gmail.com</email></corresp></author-notes>
<pub-date date-type="collection" publication-format="electronic">
<year>2023</year></pub-date>
<pub-date date-type="pub" publication-format="electronic"><day>3</day><month>4</month><year>2023</year></pub-date>
<volume>11</volume>
<issue>6</issue>
<fpage>2913</fpage>
<lpage>2924</lpage>
<history>
<date date-type="received"><day>12</day><month>7</month><year>2022</year></date>
<date date-type="accepted"><day>28</day><month>9</month><year>2022</year></date>
</history>
<permissions>
<copyright-statement>&#x00A9; 2023 Ni&#x2019;mah et al.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Ni&#x2019;mah et al.</copyright-holder>
<license xlink:href="https://creativecommons.org/licenses/by/4.0/">
<license-p>This work is licensed under a <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution 4.0 International License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="TSP_JRM_25431.pdf"></self-uri>
<abstract>
<p>The adsorption of Pb(II) on silica gel synthesized from chemical glass bottle waste has been studied. The effect of independent variables (adsorbent dose, initial concentration of Pb(II), contact time, and pH) on the Pb(II) removal from water was evaluated and optimized using the Response Surface Methodology (RSM). Under optimized conditions (adsorbent dose: 20&#x2005;mg; contact time: 30 min; initial Pb(II) concentration: 120&#x2005;mg.L<sup>&#x2212;1</sup>; and pH: 8), the removal of Pb(II) was 99.77&#x0025;. The adsorption equilibrium data obtained from the batch experiment were investigated using different isotherm models. The Langmuir isotherm model fits the experimental data. This shows that the surface of the silica gel synthesized from chemical bottles waste was covered by a Pb(II) monolayer. XRF analysis showed that the synthesized silica gel had a SiO<sub>2</sub> content of 75.63&#x0025;. Amorphous silica was observed from XRD analysis. SEM-EDX characterization showed that Pb was adsorbed on the silica gel surface. SEM analysis showed that silica gel has irregular particles with a surface area of 297.08 m<sup>2</sup>.g<sup>&#x2212;1</sup> with a pore radius of 15.74 nm calculated from BET analysis.</p>
</abstract>
<kwd-group kwd-group-type="author">
<kwd>Chemical bottle waste</kwd>
<kwd>silica gel</kwd>
<kwd>adsorption</kwd>
<kwd>box-behnken design</kwd>
<kwd>response surface methodology</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<label>1</label>
<title>Introduction</title>
<p>Europe and Central Asia generated 31.36 million tonnes of glass waste in 2016 [<xref ref-type="bibr" rid="ref-1">1</xref>]. Glass waste is inorganic waste and is classified as hazardous waste. Chemical bottle waste is one the hazardous wastes that cannot be decomposed naturally and requires special handling [<xref ref-type="bibr" rid="ref-2">2</xref>]. The utilization of chemical glass bottle waste depends on its chemical composition. In general, chemical bottled glass waste contains silica (65&#x0025;&#x2013;75&#x0025;), sodium oxide (12&#x0025;&#x2013;15&#x0025;), calcium oxide (6&#x0025;&#x2013;12&#x0025;) [<xref ref-type="bibr" rid="ref-3">3</xref>], and several other minor constituents. The high silica content in chemical bottle glass waste makes it prospective to be used as a precursor in the synthesis of silica gel [<xref ref-type="bibr" rid="ref-4">4</xref>]. Several studies have shown that silica gel has high porosity, small pore size, and large surface area, so it can be used as an adsorbent [<xref ref-type="bibr" rid="ref-5">5</xref>,<xref ref-type="bibr" rid="ref-6">6</xref>].</p>
<p>Several methods have been applied for the synthesis of silica gel, including the sol-gel method [<xref ref-type="bibr" rid="ref-4">4</xref>,<xref ref-type="bibr" rid="ref-5">5</xref>,<xref ref-type="bibr" rid="ref-7">7</xref>], heating [<xref ref-type="bibr" rid="ref-8">8</xref>], hydrothermal [<xref ref-type="bibr" rid="ref-3">3</xref>] reflux [<xref ref-type="bibr" rid="ref-9">9</xref>], and composites [<xref ref-type="bibr" rid="ref-10">10</xref>&#x2013;<xref ref-type="bibr" rid="ref-12">12</xref>]. The sol-gel method has advantages such as producing a homogeneous product, low processing temperature, and can produce nanoparticles. In this study, silica gel was synthesized from alkaline fusion and the sol-gel method. Silica extraction was carried out using the alkaline fusion method to convert glass bottle waste into sodium silicate and then convert it into silica gel using the sol-gel method.</p>
<p>Heavy metal pollution in waste generated from industrial processes, such as metal plating, metal mining, leather tanning, Chlor-alkali, mineral smelting, microplastics [<xref ref-type="bibr" rid="ref-13">13</xref>], and the battery industry [<xref ref-type="bibr" rid="ref-14">14</xref>], is a serious environmental problem. Due to their high solubility in aquatic environments, heavy metals can be ingested by living organisms. Once they enter the food chain, large amounts of heavy metals can accumulate in the human body. Lead (Pb) contamination is of particular concern because of its toxicity and its widespread presence in the environment. Lead is one of the most dangerous heavy metals. Lead is a systemic poison that causes anemia, kidney dysfunction, and brain tissue damage and is even fatal in extreme poisoning situations. The presence of lead in the environment can pose long-term health risks to humans and ecosystems. According to the World Health Organization (WHO), the maximum allowable limit (MPL) for lead in drinking water is 0.05&#x2005;mg.L<sup>&#x2212;1</sup>. The allowable limit (mg.L<sup>&#x2212;1</sup>) for Pb(II) in effluents set by the Environmental Protection Agency (EPA) is 0.05&#x2005;mg.L<sup>&#x2212;1</sup> [<xref ref-type="bibr" rid="ref-15">15</xref>,<xref ref-type="bibr" rid="ref-16">16</xref>]. In industrial effluents, the lead ion concentration can reach 200&#x2013;500&#x2005;mg.L<sup>&#x2212;1</sup>. The lead ion concentration from wastewater must be reduced to 0.05&#x2013;0.10&#x2005;mg.L<sup>&#x2212;1</sup> before being allowed to discharge into waterways or sewage systems [<xref ref-type="bibr" rid="ref-17">17</xref>,<xref ref-type="bibr" rid="ref-18">18</xref>].</p>
<p>Several methods have been used to reduce lead levels in wastewater, namely coagulation, flocculation [<xref ref-type="bibr" rid="ref-15">15</xref>], biodegradation [<xref ref-type="bibr" rid="ref-17">17</xref>,<xref ref-type="bibr" rid="ref-19">19</xref>], remediation [<xref ref-type="bibr" rid="ref-16">16</xref>,<xref ref-type="bibr" rid="ref-20">20</xref>] adsorption [<xref ref-type="bibr" rid="ref-12">12</xref>,<xref ref-type="bibr" rid="ref-21">21</xref>] and coagulation [<xref ref-type="bibr" rid="ref-22">22</xref>]. The adsorption method is superior to other methods in terms of cost, process, and chemical use [<xref ref-type="bibr" rid="ref-6">6</xref>,<xref ref-type="bibr" rid="ref-23">23</xref>]. Rahman et al. [<xref ref-type="bibr" rid="ref-6">6</xref>] research obtain a Pb(II) removal of 99.78&#x0025; using 0.2&#x2005;g of adsorbent in 20&#x2005;mL of 50&#x2005;mg.L<sup>&#x2212;1</sup> lead solution at pH 6. Optimization was carried out using Box-Behnken Design with 4 factors, namely adsorbent mass, contact time, initial concentration of Pb(II), and pH. Each variable was optimized at 3 levels.</p>
<p>The application of Design of Experiment (DoE) in optimization provides several advantages, namely fewer experiments, less reagent consumption, and less laboratory work [<xref ref-type="bibr" rid="ref-24">24</xref>]. The use of the classical approach for optimization is considered less economical and practical because it requires more experiments to run. Response Surface Methodology (RSM) is a statistical tool for estimating the optimal response as a function of more than one input factor. The optimization is presented in a graph using polynomial regression [<xref ref-type="bibr" rid="ref-24">24</xref>,<xref ref-type="bibr" rid="ref-25">25</xref>]. Box-Behnken Design (BBD) was used to optimize the input variables that affect the removal of Pb(II). The input variables that were optimized in this study were the adsorbent dose, contact time, initial concentration of Pb(II), and pH. The correlation between input factors and experimental results was visualized using the response surface (RSM) methodology [<xref ref-type="bibr" rid="ref-26">26</xref>].</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Experimental</title>
<sec id="s2_1">
<label>2.1</label>
<title>Material Preparation</title>
<p>The materials used in this research were chemical glass bottle waste and sodium hydroxide (98&#x0025;, Merck). Chemical glass bottle waste was obtained from the ITS Chemistry Department Laboratory, Surabaya, Indonesia. Glass bottles were initially rinsed, dried, and crushed using a jaw crusher to obtain a coarse powder. Coarse glass powder was ground using a Disc Mill to obtain a fine glass powder. Milling was carried out for 2 min at a rate of 2&#x2005;rpm. The glass powder was sieved to obtain a powder with a particle size of 45&#x2013;53&#x2005;&#x03BC;m (200&#x2013;230 mesh).</p>
</sec>
<sec id="s2_2">
<label>2.2</label>
<title>The Optimization of Pb(II) Adsorption</title>
<p>Response Surface Methodology (RSM)-Box-Behnken Design (BBD) was applied to optimize Pb(II) adsorption. The python package was used to generate BBD input, regression analysis, and 3D surface response plots for Pb(II) adsorption [<xref ref-type="bibr" rid="ref-6">6</xref>]. In optimizing Pb(II) adsorption, four independent factors were selected, namely adsorbent dose (x1), initial Pb(II) concentration (x2), contact time (x3), and pH (x4). Each factor was investigated at three levels (high (&#x002B;1), center point (0), and low (1)), as shown in <xref ref-type="table" rid="table-1">Table 1</xref>.</p>
<table-wrap id="table-1"><label>Table 1</label>
<caption>
<title>Box-behnken design for the adsorption of Pb(II)</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" rowspan="2">Variables</th>
<th align="center" colspan="3">Levels</th>
</tr>
<tr>
<th align="left">&#x2212;1</th>
<th align="left">0</th>
<th align="left">1</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Adsorbent dose (mg, x1)</td>
<td align="left">15</td>
<td align="left">20</td>
<td align="left">25</td>
</tr>
<tr>
<td align="left">Initial concentration (mg &#x00B7; L<sup>&#x2212;1</sup>, x2)</td>
<td align="left">50</td>
<td align="left">100</td>
<td align="left">150</td>
</tr>
<tr>
<td align="left">Contact time (min, x3)</td>
<td align="left">10</td>
<td align="left">20</td>
<td align="left">30</td>
</tr>
<tr>
<td align="left">pH (x4)</td>
<td align="left">4</td>
<td align="left">7</td>
<td align="left">10</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The BBD design produces 27 combinations of factors and levels to optimize Pb(II) adsorption. RSM was applied to optimize the factors associated with Pb(II) removal and the interaction between response and factors.</p>
</sec>
<sec id="s2_3">
<label>2.3</label>
<title>The Synthesis of Silica Gel from Chemical Glass Waste</title>
<p>The synthesis of silica gel from glass bottle waste was carried out by mixing glass powder and sodium hydroxide. Synthesis was carried out with a ratio of silica and sodium hydroxide 2:6 (w/w). The mixture was heated at 800&#x00B0;C for 4 h. The resulting sodium silicate was dissolved in 50&#x2005;ml of boiling water. The sodium silicate solution was filtered to remove impurities. Hydrochloric acid 3&#x2005;M was added to the sodium silicate dropwise and stirred using a magnetic stirrer at a rate of 450&#x2005;rpm until a white gel was formed. The gel was allowed to stand for 18 h, after that it was filtered and dried in an oven at 80&#x00B0;C for 12 h to form silica gel.</p>
</sec>
<sec id="s2_4">
<label>2.4</label>
<title>The Adsorption of Pb(II)</title>
<p>The adsorption of Pb(II) on silica gel was optimized by varied adsorbent masses (15, 20, and 25&#x2005;mg), the initial Pb(II) concentration (50, 100, 150 mg.L<sup>&#x2212;1</sup>), contact time (10, 20, and 30 min), and pH (4, 7, 10) using 20&#x2005;ml Pb(II) solution. The Pb(II) removal was calculated using <xref ref-type="disp-formula" rid="eqn-1">Eq. (1)</xref><disp-formula id="eqn-1"><label>(1)</label><mml:math id="mml-eqn-1" display="block"><mml:mrow><mml:mtext>Removal&#x2009;</mml:mtext><mml:mrow><mml:mo>(</mml:mo><mml:mi>&#x0025;</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:mo>=</mml:mo><mml:mn>100</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mo>&#x2212;</mml:mo><mml:mi>C</mml:mi><mml:mi>e</mml:mi></mml:mrow><mml:mrow><mml:mi>C</mml:mi><mml:mi>o</mml:mi></mml:mrow></mml:mfrac></mml:mrow><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>where Co and Ce were the Pb(II) initial and equilibrium concentrations in the solution (mg &#x00B7; L<sup>&#x2212;1</sup>), respectively. The initial (Co) and the equilibrium (Ce) concentrations were determined from the calibration curve of the Pb(II) standard solution.</p>
</sec>
<sec id="s2_5">
<label>2.5</label>
<title>Characterization</title>
<p>X-Ray Diffractometer (Rigaku SmartLab<sup>&#x00AE;</sup>) was used to determine the structure of glass powder and silica gel. X-Ray Fluorescence (Rigaku ZSX Primus IV) was used to determine the composition of glass powder and silica gel. A surface Area Analyzer (Quantachrome Autosorb IQ) was used to determine the surface area and pore size of silica gel. Scanning Electron Microscope-Energy Dispersive X-Ray (Bruker EVO MA 10) was employed to determine the morphology and surface composition of silica gel. Atomic Absorption Spectroscopy (iCE 3000 Series) was used to determine the concentration of Pb(II).</p>
</sec>
</sec>
<sec id="s3">
<label>3</label>
<title>Results and Discussion</title>
<sec id="s3_1">
<label>3.1</label>
<title>Optimization of Pb(II) Adsorption</title>
<p>Experiments with 27 runs were carried out to optimize the adsorbent dose, initial concentration of Pb(II), contact time, and pH on Pb(II) removal using silica gel as adsorbent. The RSM curve obtained from the experiment was shown in <xref ref-type="fig" rid="fig-1">Fig. 1</xref>.</p>
<fig id="fig-1">
<label>Figure 1</label>
<caption>
<title>The RSM plot of Pb(II) removal as the function of adsorbent mass, Pb(II) initial concentration, contact time, and pH</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_25431-fig-1.tif"/>
</fig>
<p>Multiple regression analysis of experimental data gives a correlation coefficient (r<sup>2</sup>) of 0.827 with the slope and intercept as described in <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref>. This correlation coefficient (r<sup>2</sup>) indicates that the input variable has a good correlation with the output variable (Pb(II) removal).<disp-formula id="eqn-2"><label>(2)</label>
<mml:math id="mml-eqn-2" display="block"><mml:mtable columnalign="left" rowspacing=".5em" columnspacing="thickmathspace" displaystyle="true"><mml:mtr><mml:mtd><mml:mi>Y</mml:mi><mml:mo>=</mml:mo></mml:mtd><mml:mtd><mml:mn>13.5582</mml:mn><mml:mo>+</mml:mo><mml:mn>1.376733</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>0.993547</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>0.156783</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>3.552074</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mn>0.068358</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:mspace width="-4pt" /><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mo>+</mml:mo><mml:mn>0.000390</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>0.005310</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>+</mml:mo><mml:mn>0.156350</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>1</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mn>0.005697</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mn>0.023272</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mo>&#x2212;</mml:mo><mml:mn>0.005167</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>&#x2212;</mml:mo><mml:mn>0.003003</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mspace width="-4pt" /><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mo>+</mml:mo><mml:mn>0.011077</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mspace width="-4pt" /><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow><mml:mo>&#x2212;</mml:mo><mml:mn>0.258954</mml:mn><mml:msub><mml:mi>x</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mspace width="-4pt" /><mml:mrow><mml:msup><mml:mi></mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math>
</disp-formula>where x<sub>1</sub>, x<sub>2,</sub> x<sub>3,</sub> and x<sub>4</sub> were adsorbent dose, Pb(II) initial concentration, contact time, and pH, respectively.</p>
<p>The relationship between input variables and Pb(II) removal was studied using the response surface curve. A three-dimensional response surface curve was obtained by plotting the response (&#x0025; removal) on the Z-axis to the two input variables while other variables were kept at the &#x201C;0&#x201D; level [<xref ref-type="bibr" rid="ref-26">26</xref>]. Based on the response surface curve, Pb<sup>2&#x002B;</sup> removal was increased in the mass of the adsorbent from 18 to 22&#x2005;mg with increasing concentration from 110&#x2005;to 130&#x2005;ppm, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1a</xref>. The Pb(II) removal increased as the adsorbent mass increased from 17 to 22&#x2005;mg with a contact time of 30 min, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1b</xref>. Pb(II) removal increased as adsorbent mass and pH increased. The optimum adsorbent masses were from 18 to 22&#x2005;mg with a pH of 7 to 9, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1c</xref>. Pb(II) removal increased as contact time and concentration increased. The optimum contact times were from 10 to 30 min at a concentration of 90 to 130&#x2005;ppm, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1d</xref>. The increase of initial Pb(II) concentration and pH increases the Pb(II) removal. The optimum removal was obtained at concentrations of 100 to 130&#x2005;ppm and a pH of 5 to 10, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1e</xref>. The optimum Pb(II) removal was achieved at a contact time of 30 min and pH from 7 to 9, as shown in <xref ref-type="fig" rid="fig-1">Fig. 1f</xref>.</p>

<p>The optimum Pb(II) removal was obtained at the adsorbent mass of 20&#x2005;mg, contact time of 30 min, Pb(II) initial concentration of 120&#x2005;ppm, and pH 8. Based on <xref ref-type="disp-formula" rid="eqn-2">Eq. (2)</xref> the optimum Pb(II) removal obtained was 99.77&#x0025;. The Pb(II) removal in this research was higher than in Rahman et al. [<xref ref-type="bibr" rid="ref-6">6</xref>]. The utilization of glass bottle waste into silica adsorbent can reduce waste and has good environmental impacts. The <italic>p</italic>-value from the regression analysis was 0.00946. It indicated that the independent variables have a significant effect on Pb(II) removal [<xref ref-type="bibr" rid="ref-24">24</xref>].</p>
</sec>
<sec id="s3_2">
<label>3.2</label>
<title>Characterization</title>
<sec id="s3_2_1">
<label>3.2.1</label>
<title>N<sub>2</sub> Adsorption-Desorption Analysis</title>
<p>The determination of the silica gel surface area and pore size was carried out by nitrogen adsorption-desorption using the BET (Brunauer-Emmet-Teller) method. The determination of pore size was carried out using the BJH method. The nitrogen adsorption curve was shown in <xref ref-type="fig" rid="fig-3">Fig. 3a</xref>. Based on <xref ref-type="fig" rid="fig-3">Fig. 3a</xref>, the Pb(II) adsorption on silica gel follows type IV isotherm. This indicates that the synthesized silica gel tends to have a mesoporous structure. This type of isotherm was associated with capillary condensation that occurs in the mesoporous structure and has a limited absorption rate in the high P/P<sup>0</sup> region. The loop type was H3 which indicates the presence of an ink bottle-shaped pore. The surface area obtained was 297.08&#x2005;m&#x00B2; &#x00B7; g<sup>&#x2212;1</sup>. The pore size distribution was shown in <xref ref-type="fig" rid="fig-2">Fig. 2b</xref>. The pore radius obtained was 15.74&#x2005;nm.</p>
<fig id="fig-2">
<label>Figure 2</label>
<caption>
<title>(a) Nitrogen adsorption-desorption on silica gel and (b) BJH curve of silica gel</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_25431-fig-2.tif"/>
</fig>
<fig id="fig-3">
<label>Figure 3</label>
<caption>
<title>Diffractogram of glass powder waste and silica gel</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_25431-fig-3.tif"/>
</fig>
</sec>
<sec id="s3_2_2">
<label>3.2.2</label>
<title>X-Ray Fluorescence (XRF) Analysis</title>
<p>The XRF analysis of glass powder and silica gel was shown in <xref ref-type="table" rid="table-2">Table 2</xref>. Based on the XRF data, the glass powder has SiO<sub>2</sub> of 63.74&#x0025;, Na<sub>2</sub>O of 12.88&#x0025;, and CaO of 10.95&#x0025;. These results were in accordance with the research conducted by Owoeye et al. [<xref ref-type="bibr" rid="ref-4">4</xref>]. Thus, glass bottle waste has the potential to be extracted as a precursor for the synthesis of silica gel that was prepared as a Pb(II) adsorbent.</p>
<table-wrap id="table-2"><label>Table 2</label>
<caption>
<title>XRF characterization</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" colspan="2">Glass waste</th>
<th align="left" colspan="2">Silica gel</th>
</tr>
<tr>
<th align="left">Compounds</th>
<th align="left">&#x0025; w/w</th>
<th align="left">Compounds</th>
<th align="left">&#x0025; w/w</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Al<sub>2</sub>O<sub>3</sub></td>
<td align="left">2.04</td>
<td align="left">Al<sub>2</sub>O<sub>3</sub></td>
<td align="left">8.39</td>
</tr>
<tr>
<td align="left">SiO<sub>2</sub></td>
<td align="left">63.74</td>
<td align="left">SiO<sub>2</sub></td>
<td align="left">75.63</td>
</tr>
<tr>
<td align="left">B<sub>2</sub>O<sub>3</sub></td>
<td align="left">2.30</td>
<td align="left">MgO</td>
<td align="left">0.12</td>
</tr>
<tr>
<td align="left">Na<sub>2</sub>O</td>
<td align="left">12.88</td>
<td align="left">CO<sub>2</sub></td>
<td align="left">5.66</td>
</tr>
<tr>
<td align="left">Cl</td>
<td align="left">0.02</td>
<td align="left">Na<sub>2</sub>O</td>
<td align="left">8.19</td>
</tr>
<tr>
<td align="left">K<sub>2</sub>O</td>
<td align="left">0.75</td>
<td align="left">Cl</td>
<td align="left">0.71</td>
</tr>
<tr>
<td align="left">CaO</td>
<td align="left">10.95</td>
<td align="left">K<sub>2</sub>O</td>
<td align="left">0.27</td>
</tr>
<tr>
<td align="left">TiO<sub>2</sub></td>
<td align="left">0.13</td>
<td align="left">CaO</td>
<td align="left">0.09</td>
</tr>
<tr>
<td align="left">Cr<sub>2</sub>O<sub>3</sub></td>
<td align="left">0.04</td>
<td align="left">Cr<sub>2</sub>O<sub>3</sub></td>
<td align="left">0.28</td>
</tr>
<tr>
<td align="left">MnO</td>
<td align="left">0.02</td>
<td align="left">MnO</td>
<td align="left">0.06</td>
</tr>
<tr>
<td align="left">Fe<sub>2</sub>O<sub>3</sub></td>
<td align="left">0.62</td>
<td align="left">Fe<sub>2</sub>O<sub>3</sub></td>
<td align="left">0.54</td>
</tr>
<tr>
<td align="left">NiO</td>
<td align="left">0.00</td>
<td align="left">NiO</td>
<td align="left">0.03</td>
</tr>
<tr>
<td align="left">CuO</td>
<td align="left">0.01</td>
<td align="left">CuO</td>
<td align="left">0.01</td>
</tr>
<tr>
<td align="left">Rb<sub>2</sub>O</td>
<td align="left">0.00</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">SrO</td>
<td align="left">0.03</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">ZrO<sub>2</sub></td>
<td align="left">0.01</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">BaO</td>
<td align="left">0.07</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">MgO</td>
<td align="left">1.91</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">CO<sub>2</sub></td>
<td align="left">3.53</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>Based on the XRF analysis, the silica or SiO<sub>2</sub> content in the synthesized silica gel was 75.63&#x0025;. The other major constituents were Na<sub>2</sub>O (8.19&#x0025;) and Al<sub>2</sub>O<sub>3</sub> (8.39&#x0025;). <xref ref-type="table" rid="table-2">Table 2</xref> shows that the purity of silica increased after the extraction. Thus, the extraction process removes some impurities from the silica gel.</p>

</sec>
<sec id="s3_2_3">
<label>3.2.3</label>
<title>X-Ray Diffraction Characterization</title>
<p>The XRD characterization of initial glass powder and silica gel shows a broad peak of silica at 2&#x03B8; 22&#x2013;27&#x00B0;. XRD spectra indicated that glass powder and silica gel have an amorphous phase. Increasing the diffractogram peak intensity of the silica gel indicates that the SiO<sub>2</sub> in silica gel has higher purity than in glass powder. Based on Owoeye et al. [<xref ref-type="bibr" rid="ref-4">4</xref>], amorphous silica was identified as a soluble form of silica and suitable for heavy metal adsorbent.</p>
</sec>
<sec id="s3_2_4">
<label>3.2.4</label>
<title>SEM-EDX Characterization</title>
<p>Silica gel surface morphology, as well as its composition, before (<xref ref-type="fig" rid="fig-4">Fig. 4a</xref>) and after (<xref ref-type="fig" rid="fig-4">Fig. 4b</xref>) adsorption were characterized using SEM-EDX. <xref ref-type="fig" rid="fig-4">Fig. 4a</xref> shows silica gel micrographs synthesized from chemical bottle waste at 500&#x00D7; magnification. The silica gel particles were irregular with a spherical shape. This was similar to the previous study [<xref ref-type="bibr" rid="ref-3">3</xref>,<xref ref-type="bibr" rid="ref-27">27</xref>]. <xref ref-type="fig" rid="fig-4">Fig. 4b</xref> shows that the synthesized silica gel contains Si, Pb, C, and O as major constituents with other minor constituents at 500&#x00D7; magnification. <xref ref-type="table" rid="table-3">Table 3</xref> shows that Pb was present on the surface of the adsorbent after the adsorption process.</p>
<fig id="fig-4">
<label>Figure 4</label>
<caption>
<title>The silica gel morphology (a) before and (b) after adsorption</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_25431-fig-4.tif"/>
</fig><table-wrap id="table-3"><label>Table 3</label>
<caption>
<title>The silica gel surface composition before and after adsorption</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left" rowspan="2">Samples</th>
<th align="center" colspan="6">&#x0025; w/w</th>
</tr>
<tr>
<th align="left">O</th>
<th align="left">C</th>
<th align="left">Si</th>
<th align="left">Na</th>
<th align="left">Al</th>
<th align="left">Pb</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left">Silica gel before adsorption</td>
<td align="left">49.87</td>
<td align="left">45.71</td>
<td align="left">2.70</td>
<td align="left">1.20</td>
<td align="left">0.52</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Silica gel after adsorption</td>
<td align="left">27.71</td>
<td align="left">39.75</td>
<td align="left">5.56</td>
<td align="left">1.04</td>
<td align="left">0.98</td>
<td align="left">24.96</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3_3">
<label>3.3</label>
<title>Adsorption Isotherm</title>
<p>The adsorption isotherm of Pb(II) adsorption on silica gel was studied to investigate the adsorption mechanism. The adsorption isotherm describes the concentration of Pb(II) adsorbed in the unit mass of the solid at a constant temperature at equilibrium conditions [<xref ref-type="bibr" rid="ref-28">28</xref>,<xref ref-type="bibr" rid="ref-29">29</xref>]. The adsorption can be physical adsorption caused by van der Waals forces or chemical adsorption caused by chemical bonds such as covalent or ionic bonds. The physical adsorption is relatively weak and reversible with the heat of adsorption in only a few kcal/mol. The Langmuir isotherm is a model of physical adsorption. In chemical adsorption, the interaction between molecules on the surface of the adsorbent is a chemical bonding, so the adsorption is irreversible. The heat of adsorption is relatively high, and the adsorption is usually monomolecular. Brunauer-Emmett-Teller, or BET isotherms, is an example of a chemical adsorption model. The type of adsorption can be determined by constructing an adsorption isotherm to determine whether it is physical adsorption, chemical adsorption, or both. The model goodness of fit was determined from the value of the determination coefficient (r<sup>2</sup>) [<xref ref-type="bibr" rid="ref-30">30</xref>]. The adsorption isotherm of Pb(II) on silica gel was shown in <xref ref-type="fig" rid="fig-5">Fig. 5</xref>. The regression analysis was summarized in <xref ref-type="table" rid="table-4">Table 4</xref>. The Pb(II) adsorption on silica gel was fitted well to the Langmuir isotherm model based on its determination coefficient (r<sup>2</sup>), 0.9345, as shown in <xref ref-type="fig" rid="fig-5">Fig. 5a</xref>. The isotherm model indicated that physical adsorption with a monolayer surface was formed [<xref ref-type="bibr" rid="ref-31">31</xref>]. The adsorption occurred due to the attraction of Pb(II) to the surface of the silica gel adsorbent by Van der Waals forces or hydrogen bonds. The silica gel adsorbent has a homogeneous adsorption site distribution, and its adsorption process was monolayer adsorption [<xref ref-type="bibr" rid="ref-32">32</xref>].</p>
<fig id="fig-5">
<label>Figure 5</label>
<caption>
<title>The regression curve of experimental data based on (a) Langmuir, (b) Freundlich, (c) Temkin and (d) Dubinin-Radushkevich isotherm</title></caption>
<graphic mimetype="image" mime-subtype="tif" xlink:href="JRM_25431-fig-5.tif"/>
</fig><table-wrap id="table-4"><label>Table 4</label>
<caption>
<title>Isotherm parameters from regression analysis</title></caption>
<table><colgroup><col align="left"/><col align="left"/><col align="left"/>
</colgroup>
<thead>
<tr>
<th align="left">Isotherm parameters</th>
<th align="left"/>
<th align="right"/>
</tr>
</thead>
<tbody>
<tr>
<td align="left" rowspan="3">Langmuir</td>
<td align="left">qm (mg.g<sup>&#x2212;1)</sup></td>
<td align="left">47.619</td>
</tr>
<tr>
<td align="left">K<sub>L</sub> (L.mg<sup>&#x2212;1</sup>)</td>
<td align="left">&#x2212;2.625</td>
</tr><tr>
<td align="left">R<sup>2</sup></td>
<td align="left">0.9350</td>
</tr>
<tr>
<td align="left" rowspan="3">Freundlich</td>
<td align="left">n</td>
<td align="left">&#x2212;4.778</td>
</tr>
<tr>
<td align="left">K<sub>f</sub> (mg.g<sup>&#x2212;1</sup>)</td>
<td align="left">81.786</td>
</tr><tr>
<td align="left">R<sup>2</sup></td>
<td align="left">0.8143</td>
</tr>
<tr>
<td align="left" rowspan="3">Temkin</td>
<td align="left">B<sub>T</sub> (J.mol<sup>&#x2212;1</sup>)</td>
<td align="left">87.473</td>
</tr>
<tr>
<td align="left">K<sub>T</sub> (L.mg<sup>&#x2212;1</sup>)</td>
<td align="left">0.816</td>
</tr><tr>
<td align="left">R<sup>2</sup></td>
<td align="left">0.9161</td>
</tr>
<tr>
<td align="left" rowspan="4">Dubinin-Radushkevich</td>
<td align="left">qm (mg.g<sup>&#x2212;1</sup>)</td>
<td align="left">1.000</td>
</tr>
<tr>
<td align="left">&#x03B2; (mol<sup>2</sup>.J<sup>&#x2212;2</sup>)</td>
<td align="left">&#x2212;4.227</td>
</tr>
<tr>
<td align="left">E (kJ.mol<sup>&#x2212;1</sup>)</td>
<td align="left">0.354</td>
</tr>
<tr>
<td align="left">R<sup>2</sup></td>
<td align="left">0.5254</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<label>4</label>
<title>Conclusion</title>
<p>Pb(II) removal of 99.77&#x0025; has been achieved by adsorption using silica gel synthesized from chemical glass bottle waste. The adsorption followed the Langmuir isotherm model. The synthesized silica gel surface area was 297.08&#x2005;m&#x00B2; &#x00B7; g<sup>&#x2212;1</sup> with a pore radius of 15.74&#x2005;nm. The success of the Pb(II) adsorption on silica gel synthesized from chemical bottle glass waste using the RSM method shows its feasibility to be used for the adsorption of other heavy metals.</p>
</sec>
</body>
<back>
<sec>
<title>Funding Statement</title><p>The authors received no specific funding for this study.</p>
</sec>
<sec sec-type="COI-statement">
<title>Conflicts of Interest</title>
<p>The authors declare that they have no conflicts of interest to report regarding the present study.</p>
</sec>
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