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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Environ. Sci.</journal-id>
<journal-title>Frontiers in Environmental Science</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Environ. Sci.</abbrev-journal-title>
<issn pub-type="epub">2296-665X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1105408</article-id>
<article-id pub-id-type="doi">10.3389/fenvs.2023.1105408</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Environmental Science</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Optimization of activated carbon production from corn cob using response surface methodology</article-title>
<alt-title alt-title-type="left-running-head">He et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fenvs.2023.1105408">10.3389/fenvs.2023.1105408</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Xiaoxue</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Xuexue</given-names>
</name>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xinran</given-names>
</name>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jiang</surname>
<given-names>Li</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2110130/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>School of Resources and Environmental Engineering</institution>, <institution>Jiangsu University of Technology</institution>, <addr-line>Changzhou</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1982937/overview">Liming Wang</ext-link>, Xi&#x2019;an Polytechnic University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2123561/overview">Youlian Zhou</ext-link>, Geology Institute of China Chemical Geology and Mine Bureau, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2126374/overview">Tianguo Li</ext-link>, Yunnan Agricultural University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Li Jiang, <email>jl@jsut.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Toxicology, Pollution and the Environment, a section of the journal Frontiers in Environmental Science</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>26</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1105408</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 He, Chen, Wang and Jiang.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>He, Chen, Wang and Jiang</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>Waste management and valorization of waste is a major global issue. Low-cost and renewable adsorbent activated carbon (AC) from agriculture residues is a focus of worldwide concern. Microwave heating is an efficient technology for production of AC. CCAC was synthesized from corn cob <italic>via</italic> microwave vacuum pyrolysis under ambient vacuum, and the optimization process for maximized CCAC yield and its iodine number was developed using response surface methodology (RSM). These regression models have high Fisher test value and lower <italic>p</italic>-value, which ensure its reliability and applicability. The optimized parameters obtained are 550.62&#xa0;W, 9.26&#xa0;min, -0.05&#xa0;Mpa, and 1.7 IR with responses of 37.57% yield and 933.38&#xa0;mg/g iodine number. The predicted results were validated, and it was found that the experimental data varied only by 4.21% in yield and 4.02% in iodine number from the predicted values. The prepared adsorbent was characterized using instrumental techniques like FT-IR, BET, and SEM. The pyrolysis approach produced CCAC containing regular and homogeneous porous structure with a specific surface area of up to 995.05&#xa0;m<sup>2</sup>/g and total volume of 0.708&#xa0;cm<sup>3</sup>/g.</p>
</abstract>
<kwd-group>
<kwd>corn cob</kwd>
<kwd>activated carbon</kwd>
<kwd>response surface methodology</kwd>
<kwd>optimization</kwd>
<kwd>microwave</kwd>
</kwd-group>
<contract-num rid="cn001">41907116</contract-num>
<contract-num rid="cn002">BK20191040 XSJCX22_77</contract-num>
<contract-num rid="cn003">CZ20170020</contract-num>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Natural Science Foundation of Jiangsu Province<named-content content-type="fundref-id">10.13039/501100004608</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Natural Science Foundation of Changzhou City<named-content content-type="fundref-id">10.13039/100016802</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>In recent years, solid waste management has been ranked alongside water and air pollution as the most intricate environmental issue in China. According to the Paris Agreement, the Chinese government announced that it has targeted achieving carbon neutrality before 2060. Significant attention has recently been focused on agricultural waste and its role in the transition of societies around the world to circular economies (<xref ref-type="bibr" rid="B6">Fu et al., 2022</xref>; <xref ref-type="bibr" rid="B39">Yang et al., 2022</xref>).</p>
<p>As one of the world&#x2019;s largest agricultural countries, China produces vast amounts of agricultural waste each year. Agricultural wastes are lignocellulosic materials that can be used as precursors in many conversion techniques, such as pyrolysis, to produce various products, viz., feedstock, biofuels, valuable chemical products, and energy. Although recent research has focused on the use of Chinese waste as soil amendments, AC, and fuels, the majority of them are burned on-site, and the disposal of agricultural wastes from combustion can have adverse effects on people and the environment (<xref ref-type="bibr" rid="B12">Ji et al., 2022</xref>).</p>
<p>Corn is one of China&#x2019;s most important cereal crops. In 2020, corn accounted for almost 25% of the total cereal crops in China (<xref ref-type="bibr" rid="B26">NBSC, 2021</xref>). Corn cobs (CC) are essential inedible residues after corn production, comprising large amounts of corn residues in China each year, inevitably followed by the generation of large amounts of agricultural waste corn cob due to the approximate 18&#xa0;kg of corn cob per 100&#xa0;kg of corn grain production (<xref ref-type="bibr" rid="B35">Tsai et al., 2001</xref>). Corn cob is a rich biomass resource, and many studies have been conducted for its various applications (<xref ref-type="bibr" rid="B22">Menardo et al., 2015</xref>; <xref ref-type="bibr" rid="B33">Takada et al., 2018</xref>; <xref ref-type="bibr" rid="B3">Czajkowski et al., 2019</xref>; <xref ref-type="bibr" rid="B12">Ji et al., 2022</xref>). Most agricultural residues can be treated as feed or compost, but corn cob cannot be used owing to its lack of nutrients. However, corn cob serves as a potential raw material that is locally available and practically used in the experiment, given its rich carbon content and wide abundance, where AC can be derived <italic>via</italic> pyrolysis (<xref ref-type="bibr" rid="B1">Aditya and Zi, 2022</xref>).</p>
<p>Agricultural wastes can be converted to AC by conventional and microwave pyrolysis (<xref ref-type="bibr" rid="B29">Scarlett et al., 2022</xref>). The main difference between microwave and conventional pyrolysis is the heating method; the microwave method involves volumetric heating, while conventional pyrolysis involves conduction or convection heating (<xref ref-type="bibr" rid="B32">Shukla et al., 2019</xref>; <xref ref-type="bibr" rid="B30">Selvam and Paramasivan, 2022</xref>). Conventional pyrolysis is achieved using a bath furnace with high thermal inertia and low electricity conversion efficiency (<xref ref-type="bibr" rid="B2">Arpia et al., 2021</xref>). Microwave-assisted pyrolysis has a higher efficiency in the heating process because energy transfer is facilitated through the interaction of molecules inside the biomass rather than heat transfer from external sources (<xref ref-type="bibr" rid="B42">Zi et al., 2019</xref>; <xref ref-type="bibr" rid="B17">Li et al., 2022</xref>). The main advantages of microwave heating are shorter retention time, better overall efficiency, and a faster and more controllable process (<xref ref-type="bibr" rid="B5">Elsa and James, 2017</xref>; <xref ref-type="bibr" rid="B2">Arpia et al., 2021</xref>; <xref ref-type="bibr" rid="B41">Yu et al., 2022</xref>). Several studies have reported the product optimization of diverse biomass using microwave pyrolysis, e.g., lignin (<xref ref-type="bibr" rid="B34">Tayra and Mara&#xed;sa, 2022</xref>), horse manure (<xref ref-type="bibr" rid="B24">Mong et al., 2020</xref>), oil palm (<xref ref-type="bibr" rid="B10">Idris et al., 2022</xref>), corn cob (<xref ref-type="bibr" rid="B28">Quillope et al., 2021</xref>), sugarcane bagasse (<xref ref-type="bibr" rid="B30">Selvam and Paramasivan, 2022</xref>), and empty fruit bunch (<xref ref-type="bibr" rid="B23">Mohamad, 2022</xref>).</p>
<p>Microwave heating technology under vacuum is usually applied in the food processing industry. Microwave vacuum pyrolysis (MVP) represents a promising and innovative pyrolysis approach that has recently been proposed as an alternative to converting biomass into products. Performing pyrolysis under a vacuum environment causes the vacuum environment to replace the need of carrier gas (e.g., nitrogen gas) that is generally used in conventional pyrolysis. Some reports were recently published on microwave vacuum pyrolysis for waste conversion and recovery (<xref ref-type="bibr" rid="B25">Nam et al., 2018</xref>; <xref ref-type="bibr" rid="B38">Wan et al., 2018</xref>; <xref ref-type="bibr" rid="B40">Yek and Liew, 2019</xref>; <xref ref-type="bibr" rid="B31">Shin and Syazana, 2020</xref>; <xref ref-type="bibr" rid="B37">Wan and Wai, 2020</xref>) involving the application of a vacuum environment to lower the production cost since the need to constantly use inert gas (e.g., nitrogen) during pyrolysis is eliminated and has advantages by avoiding undesirable recondensation reaction and combustion (<xref ref-type="bibr" rid="B21">Liew et al., 2018</xref>). The preparation of AC by MVP deserves more attention from researchers, and the optimization of process production could also produce immeasurable environmental and economic benefits (<xref ref-type="bibr" rid="B37">Wan and Wai, 2020</xref>).</p>
<p>To the best of our knowledge, the optimal response of the operating factors on iodine number and yield of CCAC and its properties derived through MVP have not yet been reported. The objective of this study is to produce AC from an agricultural waste (corn cob) through microwave heating under ambient vacuum. The RSM-based Central Composite Design (CCD) model was utilized to establish the relative effects of process variables and their interactions, which would assist researchers in exploring opportunities for implementing MVP technology for AC production, thereby producing better-quality AC for sustainable environmental applications.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Preparation of AC</title>
<p>The corn cob used in this study was obtained from a village in Xuzhou, Jiangsu Province, China. CC was initially washed twice with pure water to remove dust and subsequently dried at 105&#xb0;C for 24&#xa0;h to remove moisture. Then, the dried CC was ground and sieved through a 50-mesh sieve. The CC particles were then impregnated with a specific concentration of H<sub>3</sub>PO<sub>4</sub> for 12&#xa0;h.</p>
<p>The impregnation ratio (IR) was estimated from following equation:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>R</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="italic">w</mml:mi>
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<mml:mi mathvariant="italic">g</mml:mi>
<mml:mi mathvariant="italic">h</mml:mi>
<mml:mi mathvariant="italic">t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
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<mml:mi mathvariant="italic">f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msub>
<mml:mi>H</mml:mi>
<mml:mn>3</mml:mn>
</mml:msub>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>O</mml:mi>
<mml:mn>4</mml:mn>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">w</mml:mi>
<mml:mi mathvariant="italic">e</mml:mi>
<mml:mi mathvariant="italic">i</mml:mi>
<mml:mi mathvariant="italic">g</mml:mi>
<mml:mi mathvariant="italic">h</mml:mi>
<mml:mi mathvariant="italic">t</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="italic">o</mml:mi>
<mml:mi mathvariant="italic">f</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="italic">c</mml:mi>
<mml:mi mathvariant="italic">o</mml:mi>
<mml:mi mathvariant="italic">r</mml:mi>
<mml:mi mathvariant="italic">n</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="italic">c</mml:mi>
<mml:mi mathvariant="italic">o</mml:mi>
<mml:mi mathvariant="italic">b</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>After the reaction was finished, the CC particles were dried for 24&#xa0;h at 110&#xb0;C. The dried masses were kept in a microwave oven to produce CCAC. The microwave vacuum pyrolysis of CCAC was performed at different IR, microwave power, microwave irradiation times, and vacuum degrees. After heating, the system was cooled to room temperature, and the obtained samples were washed with 1&#xa0;M HCl and distilled water until the pH value of the washed solution was between 6 and 7 and then oven-dried at 120&#xb0;C.</p>
</sec>
<sec id="s2-2">
<title>2.2 Experimental design</title>
<p>Statistical experimental design, as an efficient way to improve experimental works, has been widely used in chemistry, food, and environmental engineering (<xref ref-type="bibr" rid="B12">Ji et al., 2022</xref>; <xref ref-type="bibr" rid="B16">Kong and Zhi, 2022</xref>). Among these design methods, RSM is considered a powerful technique for testing multiple process variables and identifying interactions between these variables, and a combination of factors generating an optimal response can be identified by this technique (<xref ref-type="bibr" rid="B15">Kai et al., 2022</xref>). In addition to raw materials, external parameters of activation temperature, activation time, and impregnation ratio play key roles in AC preparation. Accordingly, to determine optimal preparation conditions, the RSM experiment was carried out, and the iodine number (Y1) and yield (Y2) were analyzed as response values. Based on previous single-factor test results, IR, microwave power, vacuum degree, and microwave irradiation time were set in the range of 1&#x2013;3, 300&#x2013;700&#xa0;W, -0.003&#xa0;MPa to -0.007&#xa0;MPa, and 8&#x2013;12&#xa0;min, respectively.</p>
<p>RSM was employed to optimize the operating conditions of the AC manufacturing process. 1) IR; 2) microwave power; 3) vacuum degree; and 4) microwave irradiation time were optimized by central composite design (CCD). Response Y values were the iodine number (Y1) and yield (Y2) of AC.</p>
</sec>
<sec id="s2-3">
<title>2.3 Measurement of iodine number and yield of AC</title>
<p>Iodine number is a widely used parameter to determine the adsorption capacity for simple and rapid assessment of AC quality. The iodine number indicates the porosity of AC, and it is defined as the amount of iodine adsorbed by 1&#xa0;g of carbon at the milligram level. The iodine adsorption was determined using GB12496.8&#x2013;2015 (the testing standard for activated carbon in China) (<xref ref-type="bibr" rid="B11">International Continence Society, 2015</xref>).</p>
<p>The yield of AC was estimated from following equation:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="italic">Y</mml:mi>
<mml:mi mathvariant="italic">i</mml:mi>
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<mml:mi mathvariant="italic">A</mml:mi>
<mml:mi mathvariant="italic">C</mml:mi>
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<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
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<mml:mi>t</mml:mi>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
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</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
</sec>
<sec id="s2-4">
<title>2.4 Characterization of CCAC</title>
<p>The characteristics of CCAC were determined by nitrogen adsorption at 77 K using a Micromeritics ASAP 2010C surface area analyzer (USA). BET surface area was calculated from N<sub>2</sub> adsorption isotherms by using the BET equation based on the assumption that the area of the nitrogen molecule was 0.162&#xa0;nm<sup>2</sup>. The total pore volume (Vp) was estimated from the volume of N<sub>2</sub> (as liquid) held at a relative pressure (P/P0) of 0.95. The pore size distribution (PSD) of the prepared AC was calculated from adsorption isotherms using the BJH method. The morphology of AC was examined by scanning electron microscopy (Hitachi Co., model S-3400NII). Furthermore, the FT-IR spectra of the raw material and sample were recorded using a Nicolet Nexus 470 FTIR aerator in the range 400&#x2013;4000&#xa0;cm<sup>-1</sup> using KBr pellets at room temperature (<xref ref-type="bibr" rid="B21">Liew et al., 2018</xref>).</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Single-factor experiments</title>
<sec id="s3-1-1">
<title>3.1.1 Impregnation ratio</title>
<p>The impregnation ratio is crucial to development of the pores of the adsorbent material. As shown in <xref ref-type="fig" rid="F1">Figure 1A</xref>, with the change in impregnation ratio, a difference was noticed in the iodine number of AC. When the IR was less than 2, a lower amount of H<sub>3</sub>PO<sub>4</sub> participated in the formation of the carbon skeleton and pore development; therefore, the iodine number was relatively low. When the IR exceeded 2, the iodine number was reduced and reached a maximum (820.84&#xa0;mg/g) when the IR was 2. However, a further increase in the ratio could make the produced micropores broaden into holes, which is closely related to the dehydration condensation effect (<xref ref-type="bibr" rid="B19">Li et al., 2016</xref>). AC yield ranges from 27.9% to 32.2%.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Effects of operating factors on the yield and iodine number of AC <bold>(A)</bold> IR, <bold>(B)</bold> microwave power, <bold>(C)</bold> vacuum degree, and <bold>(D)</bold> microwave irradiation time.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g001.tif"/>
</fig>
</sec>
<sec id="s3-1-2">
<title>3.1.2 Microwave power</title>
<p>
<xref ref-type="fig" rid="F1">Figure 1B</xref> shows that along with the increase in microwave power, the iodine number dramatically increased, but the yield was continuously reduced. When the microwave power was 300 W, the iodine number was only 581.61&#xa0;mg/g, which showed that the pores were not developed well. At a microwave power of 600 W, the iodine number reached 856.42&#xa0;mg/g, indicating that higher microwave power could provide more effective carbon to generate pores (<xref ref-type="bibr" rid="B7">Fu et al., 2019</xref>). The decrease in yield is due to a series of deoxidation and decarboxylation reactions that occur in pyrolysis (<xref ref-type="bibr" rid="B20">Liang and Liu, 2020</xref>). At higher microwave power, the condensation degree of AC increases, accompanied by the production of more gas products, which ultimately leads to a decrease in yield.</p>
</sec>
<sec id="s3-1-3">
<title>3.1.3 Vacuum degree</title>
<p>It can be seen from <xref ref-type="fig" rid="F1">Figure 1C</xref> that no indicators show a noticeable variation with the increasing vacuum degree. The iodine number of AC only increased from 787.26&#xa0;mg/g to 823.39&#xa0;mg/g (from -0.05&#xa0;MPa to -0.06&#xa0;MPa), indicating that pore structures could not be accelerated by the extension of vacuum. With the increase in vacuum degree, the yield is stable at 38%&#x2013;40%.</p>
</sec>
<sec id="s3-1-4">
<title>3.1.4 Microwave irradiation time</title>
<p>As seen from <xref ref-type="fig" rid="F1">Figure 1D</xref>, it can be seen that the iodine number of the CCAC increased significantly from 8&#xa0;min to 10&#xa0;min (from 824.15&#xa0;mg/g to 1039.63&#xa0;mg/g) because the carbon in the raw material was activated to generate more pores for release of volatile matter. The curve from 11&#xa0;min to 12&#xa0;min was flat, which illustrated that the easily decomposable substance reacted completely. Microwave irradiation time may cause over-carbonization, resulting in pore collapse and an increased proportion of macropores. Sufficient time must be guaranteed to ensure full carbonization and activation of the raw material (<xref ref-type="bibr" rid="B36">&#xdc;ner and Bayrak, 2018</xref>).</p>
</sec>
</sec>
<sec id="s3-2">
<title>3.2 Response surface analysis</title>
<sec id="s3-2-1">
<title>3.2.1 Model result and statistical analysis</title>
<p>Design Expert 8.0.6 software was used to design the experiment and to statistically analyze the data. CCD with five levels and four factors was used to meet the two objectives of the current study. A complete description of each factor is given in <xref ref-type="table" rid="T1">Table 1</xref>. <xref ref-type="table" rid="T2">Table 2</xref> shows the experimental design generated for optimization of iodine numbers and yields for CCAC. Each experiment was carried out in triplicate and repeated twice, and the average of the experimental results was used. As shown in <xref ref-type="table" rid="T2">Table 2</xref>, the highest experimental iodine number (1039.63&#xa0;mg/g) was obtained under conditions of 10 min, 500&#xa0;W,-0.05&#xa0;MPa, and IR 2. In contrast, total AC yield reached the highest value of 40.77% under 9 min, 600&#xa0;W,-0.04&#xa0;MPa, and IR 1.5. It was evident that iodine number and AC yield could not reach their maximal values simultaneously under the same preparation conditions. Among the 30 experimental runs, runs 4, 8, 12, 15, 23, and 30 had the same level of factors, and six sets of center point experiments were repeated to test the pure error of the experiment (<xref ref-type="bibr" rid="B8">Gon&#xe7;alves and Cristiane, 2014</xref>). A small pure error indicates high experimental accuracy and high confidence in the experimental data.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Coded and actual levels for independent factors used in the experimental design.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Factors</th>
<th rowspan="2" align="center">Code</th>
<th rowspan="2" align="center">Units</th>
<th colspan="5" align="center">Coded variable levels</th>
</tr>
<tr>
<th align="center">-&#x3b1;</th>
<th align="center">-1</th>
<th align="center">0</th>
<th align="center">&#x2b;1</th>
<th align="center">&#x2b;&#x3b1;</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">IR</td>
<td align="center">A</td>
<td align="center">-</td>
<td align="center">1</td>
<td align="center">1.5</td>
<td align="center">2</td>
<td align="center">2.5</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">Microwave power</td>
<td align="center">B</td>
<td align="center">W</td>
<td align="center">300</td>
<td align="center">400</td>
<td align="center">500</td>
<td align="center">600</td>
<td align="center">700</td>
</tr>
<tr>
<td align="center">Vacuum degree</td>
<td align="center">C</td>
<td align="center">-MPa</td>
<td align="center">0.03</td>
<td align="center">0.04</td>
<td align="center">0.05</td>
<td align="center">0.06</td>
<td align="center">0.07</td>
</tr>
<tr>
<td align="center">Microwave irradiation time</td>
<td align="center">D</td>
<td align="center">min</td>
<td align="center">8</td>
<td align="center">9</td>
<td align="center">10</td>
<td align="center">11</td>
<td align="center">12</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Experimental design matrix and results.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Run no</th>
<th align="center">A</th>
<th align="center">B</th>
<th align="center">C</th>
<th align="center">D</th>
<th rowspan="2" align="center">Iodine number, Y1 (mg/g)</th>
<th rowspan="2" align="center">Yield, Y2 (%)</th>
</tr>
<tr>
<th align="center">IR (-)</th>
<th align="center">Microwave power (W)</th>
<th align="center">Vacuum degree (-MPa)</th>
<th align="center">Microwave irradiation time (min)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.07</td>
<td align="center">10</td>
<td align="center">675.55</td>
<td align="center">31.47</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1.5</td>
<td align="center">400</td>
<td align="center">0.06</td>
<td align="center">9</td>
<td align="center">723.95</td>
<td align="center">34.12</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1.5</td>
<td align="center">600</td>
<td align="center">0.06</td>
<td align="center">11</td>
<td align="center">832.27</td>
<td align="center">37.9</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">907.62</td>
<td align="center">36.9</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">2.5</td>
<td align="center">400</td>
<td align="center">0.06</td>
<td align="center">11</td>
<td align="center">730.48</td>
<td align="center">32.47</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">1.5</td>
<td align="center">600</td>
<td align="center">0.04</td>
<td align="center">11</td>
<td align="center">739.38</td>
<td align="center">34.39</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">2.5</td>
<td align="center">400</td>
<td align="center">0.04</td>
<td align="center">11</td>
<td align="center">816.2</td>
<td align="center">35.6</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">1039.63</td>
<td align="center">35.96</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">2.5</td>
<td align="center">600</td>
<td align="center">0.06</td>
<td align="center">11</td>
<td align="center">619.99</td>
<td align="center">28.91</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">787.62</td>
<td align="center">36.2</td>
</tr>
<tr>
<td align="center">11</td>
<td align="center">2.5</td>
<td align="center">600</td>
<td align="center">0.04</td>
<td align="center">11</td>
<td align="center">580.05</td>
<td align="center">26.99</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">1016.22</td>
<td align="center">39.84</td>
</tr>
<tr>
<td align="center">13</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.03</td>
<td align="center">10</td>
<td align="center">676.81</td>
<td align="center">32.02</td>
</tr>
<tr>
<td align="center">14</td>
<td align="center">3</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">1015.7</td>
<td align="center">39.86</td>
</tr>
<tr>
<td align="center">15</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">653.3</td>
<td align="center">29.93</td>
</tr>
<tr>
<td align="center">16</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">12</td>
<td align="center">1011.22</td>
<td align="center">39.12</td>
</tr>
<tr>
<td align="center">17</td>
<td align="center">2</td>
<td align="center">700</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">800.77</td>
<td align="center">36.51</td>
</tr>
<tr>
<td align="center">18</td>
<td align="center">2</td>
<td align="center">300</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">558.46</td>
<td align="center">32.2</td>
</tr>
<tr>
<td align="center">19</td>
<td align="center">1.5</td>
<td align="center">600</td>
<td align="center">0.04</td>
<td align="center">9</td>
<td align="center">1028.86</td>
<td align="center">40.77</td>
</tr>
<tr>
<td align="center">20</td>
<td align="center">2.5</td>
<td align="center">600</td>
<td align="center">0.04</td>
<td align="center">9</td>
<td align="center">799.49</td>
<td align="center">34.02</td>
</tr>
<tr>
<td align="center">21</td>
<td align="center">1.5</td>
<td align="center">400</td>
<td align="center">0.04</td>
<td align="center">11</td>
<td align="center">852.52</td>
<td align="center">38.22</td>
</tr>
<tr>
<td align="center">22</td>
<td align="center">2.5</td>
<td align="center">600</td>
<td align="center">0.06</td>
<td align="center">9</td>
<td align="center">764.23</td>
<td align="center">36.49</td>
</tr>
<tr>
<td align="center">23</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">807.13</td>
<td align="center">37.43</td>
</tr>
<tr>
<td align="center">24</td>
<td align="center">1.5</td>
<td align="center">400</td>
<td align="center">0.06</td>
<td align="center">11</td>
<td align="center">560.02</td>
<td align="center">25.62</td>
</tr>
<tr>
<td align="center">25</td>
<td align="center">1.5</td>
<td align="center">400</td>
<td align="center">0.04</td>
<td align="center">9</td>
<td align="center">796.84</td>
<td align="center">35.4</td>
</tr>
<tr>
<td align="center">26</td>
<td align="center">2.5</td>
<td align="center">400</td>
<td align="center">0.04</td>
<td align="center">9</td>
<td align="center">769.14</td>
<td align="center">35.85</td>
</tr>
<tr>
<td align="center">27</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.07</td>
<td align="center">10</td>
<td align="center">945.48</td>
<td align="center">38.86</td>
</tr>
<tr>
<td align="center">28</td>
<td align="center">1.5</td>
<td align="center">400</td>
<td align="center">0.06</td>
<td align="center">9</td>
<td align="center">792.3</td>
<td align="center">36.14</td>
</tr>
<tr>
<td align="center">29</td>
<td align="center">1.5</td>
<td align="center">600</td>
<td align="center">0.06</td>
<td align="center">11</td>
<td align="center">792.5</td>
<td align="center">37.28</td>
</tr>
<tr>
<td align="center">30</td>
<td align="center">2</td>
<td align="center">500</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">559.41</td>
<td align="center">28.12</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The RSM-generated ANOVA analysis is shown in <xref ref-type="table" rid="T3">Tables 3</xref>, <xref ref-type="table" rid="T4">4</xref>. The quadratic polynomial regression model was established to predict the response for iodine number and yield of CCAC. Eqn <xref ref-type="disp-formula" rid="e3">3</xref> and Eqn <xref ref-type="disp-formula" rid="e4">4</xref> can be used to predict the response for iodine number and yield, respectively. The significance of the model and that of each process variable was evaluated on the basis of their <italic>p</italic>-value and F-value. The significance of factors was based on the P and F values; the greater the magnitude of the F-value and correspondingly smaller the &#x201c;Prob&#x3e;F&#x201d; value, the greater the significance of the corresponding coefficient (<xref ref-type="bibr" rid="B9">Goud and Das, 2021</xref>). From <xref ref-type="table" rid="T3">Table 3</xref>, it can be observed that the F-value of the model was 15.54 and the corresponding <italic>p</italic>-value was &#x3c;0.0001, indicating the model was significant. Considering a 95% confidence interval, the factors with a <italic>p</italic>-value less than 0.05 were considered significant (<xref ref-type="bibr" rid="B27">Paramasivan and Mari, 2021</xref>). Among the process variables, IR was found to be the most significant parameter with an F-value of 57.46 and a <italic>p</italic>-value &#x3c;0.001, followed by microwave power (an F-value of 5.74 and a <italic>p</italic>-value &#x3c;0.05). The <italic>p</italic>-values of A<sup>2</sup>, B<sup>2</sup>, C<sup>2</sup>, and D<sup>2</sup> are significant for the iodine number. As observed in <xref ref-type="table" rid="T4">Table 4</xref>, the F-value of the model was 3.82 and the corresponding <italic>p</italic>-value was 0.0072, indicating the model was significant. Among the process variables, IR was found to be the most significant parameter with an F-value of 24.01 and a <italic>p</italic>-value &#x3c;0.001. The <italic>p</italic>-values of A<sup>2</sup>, B<sup>2</sup>, C<sup>2</sup>, and D<sup>2</sup> were significant for yield.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Analysis of variance (ANOVA) for iodine number of CCAC.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Source</th>
<th align="center">Sum of squares</th>
<th align="center">df</th>
<th align="center">Mean square</th>
<th align="center">F value</th>
<th align="center">
<italic>p</italic>-value Prob &#x3e; F</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Model</td>
<td align="center">5.652E&#x2b;005</td>
<td align="center">14</td>
<td align="center">40367.97</td>
<td align="center">15.54</td>
<td align="center">&#x3c;0.0001</td>
<td align="center">Significant</td>
</tr>
<tr>
<td align="center">A</td>
<td align="center">1.493&#xa0;E&#x2b;005</td>
<td align="center">1</td>
<td align="center">1.49&#xa0;E&#x2b;005</td>
<td align="center">57.46</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">B</td>
<td align="center">14920.11</td>
<td align="center">1</td>
<td align="center">14920.11</td>
<td align="center">5.74</td>
<td align="center">0.03</td>
<td align="left"/>
</tr>
<tr>
<td align="center">C</td>
<td align="center">4254.41</td>
<td align="center">1</td>
<td align="center">4254.41</td>
<td align="center">1.64</td>
<td align="center">0.2201</td>
<td align="left"/>
</tr>
<tr>
<td align="center">D</td>
<td align="center">167.69</td>
<td align="center">1</td>
<td align="center">167.69</td>
<td align="center">0.06</td>
<td align="center">0.8029</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AB</td>
<td align="center">44.62</td>
<td align="center">1</td>
<td align="center">44.62</td>
<td align="center">0.02</td>
<td align="center">0.8975</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AC</td>
<td align="center">6292.46</td>
<td align="center">1</td>
<td align="center">6292.46</td>
<td align="center">2.42</td>
<td align="center">0.1405</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AD</td>
<td align="center">24.26</td>
<td align="center">1</td>
<td align="center">24.26</td>
<td align="center">0.01</td>
<td align="center">0.9243</td>
<td align="left"/>
</tr>
<tr>
<td align="center">BC</td>
<td align="center">4332.27</td>
<td align="center">1</td>
<td align="center">4332.27</td>
<td align="center">1.67</td>
<td align="center">0.2162</td>
<td align="left"/>
</tr>
<tr>
<td align="center">BD</td>
<td align="center">1094.29</td>
<td align="center">1</td>
<td align="center">1094.29</td>
<td align="center">0.42</td>
<td align="center">0.5262</td>
<td align="left"/>
</tr>
<tr>
<td align="center">CD</td>
<td align="center">5081.55</td>
<td align="center">1</td>
<td align="center">5081.55</td>
<td align="center">1.96</td>
<td align="center">0.1823</td>
<td align="left"/>
</tr>
<tr>
<td align="center">A<sup>2</sup>
</td>
<td align="center">1.967 &#xd7; 105</td>
<td align="center">1</td>
<td align="center">1.97 &#xd7; 105</td>
<td align="center">75.72</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">B<sup>2</sup>
</td>
<td align="center">87362.67</td>
<td align="center">1</td>
<td align="center">87362.67</td>
<td align="center">33.62</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">C<sup>2</sup>
</td>
<td align="center">1.236 &#xd7; 105</td>
<td align="center">1</td>
<td align="center">1.24 &#xd7; 105</td>
<td align="center">47.57</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">D<sup>2</sup>
</td>
<td align="center">1.272 &#xd7; 105</td>
<td align="center">1</td>
<td align="center">1.27 &#xd7; 105</td>
<td align="center">48.96</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Residual</td>
<td align="center">38972.94</td>
<td align="center">15</td>
<td align="center">2598.2</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Analysis of variance (ANOVA) for yield of CCAC.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Source</th>
<th align="center">Sum of squares</th>
<th align="center">df</th>
<th align="center">Mean square</th>
<th align="center">F value</th>
<th align="center">
<italic>p</italic>-value Prob &#x3e; F</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Model</td>
<td align="center">354.57</td>
<td align="center">14</td>
<td align="center">25.33</td>
<td align="center">3.82</td>
<td align="center">0.0072</td>
<td align="center">Significant</td>
</tr>
<tr>
<td align="center">A</td>
<td align="center">159.29</td>
<td align="center">1</td>
<td align="center">159.29</td>
<td align="center">24.01</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="center">B</td>
<td align="center">8.53</td>
<td align="center">1</td>
<td align="center">8.53</td>
<td align="center">1.29</td>
<td align="center">0.2746</td>
<td align="left"/>
</tr>
<tr>
<td align="center">C</td>
<td align="center">1.62</td>
<td align="center">1</td>
<td align="center">1.62</td>
<td align="center">0.24</td>
<td align="center">0.6287</td>
<td align="left"/>
</tr>
<tr>
<td align="center">D</td>
<td align="center">1.54</td>
<td align="center">1</td>
<td align="center">1.54</td>
<td align="center">0.23</td>
<td align="center">0.6374</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AB</td>
<td align="center">1.57</td>
<td align="center">1</td>
<td align="center">1.57</td>
<td align="center">0.24</td>
<td align="center">0.6338</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AC</td>
<td align="center">27.22</td>
<td align="center">1</td>
<td align="center">27.22</td>
<td align="center">4.1</td>
<td align="center">0.061</td>
<td align="left"/>
</tr>
<tr>
<td align="center">AD</td>
<td align="center">0.02</td>
<td align="center">1</td>
<td align="center">0.02</td>
<td align="center">0.01</td>
<td align="center">0.9581</td>
<td align="left"/>
</tr>
<tr>
<td align="center">BC</td>
<td align="center">4.07</td>
<td align="center">1</td>
<td align="center">4.07</td>
<td align="center">0.61</td>
<td align="center">0.4457</td>
<td align="left"/>
</tr>
<tr>
<td align="center">BD</td>
<td align="center">0.2</td>
<td align="center">1</td>
<td align="center">0.2</td>
<td align="center">0.03</td>
<td align="center">0.8659</td>
<td align="left"/>
</tr>
<tr>
<td align="center">CD</td>
<td align="center">2.26</td>
<td align="center">1</td>
<td align="center">2.26</td>
<td align="center">0.34</td>
<td align="center">0.5683</td>
<td align="left"/>
</tr>
<tr>
<td align="center">A<sup>2</sup>
</td>
<td align="center">51.9</td>
<td align="center">1</td>
<td align="center">51.9</td>
<td align="center">7.82</td>
<td align="center">0.0135</td>
<td align="left"/>
</tr>
<tr>
<td align="center">B<sup>2</sup>
</td>
<td align="center">17.52</td>
<td align="center">1</td>
<td align="center">17.52</td>
<td align="center">2.64</td>
<td align="center">0.0125</td>
<td align="left"/>
</tr>
<tr>
<td align="center">C<sup>2</sup>
</td>
<td align="center">63</td>
<td align="center">1</td>
<td align="center">63</td>
<td align="center">9.5</td>
<td align="center">0.0076</td>
<td align="left"/>
</tr>
<tr>
<td align="center">D<sup>2</sup>
</td>
<td align="center">72.03</td>
<td align="center">1</td>
<td align="center">72.03</td>
<td align="center">10.86</td>
<td align="center">0.0049</td>
<td align="left"/>
</tr>
<tr>
<td align="center">Residual</td>
<td align="center">99.52</td>
<td align="center">15</td>
<td align="center">6.63</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>R<sup>2</sup> is an important parameter while discussing the validity of any repression model. In this study, the R<sup>2</sup> values obtained were 0.935 and 0.781, indicating that 93.5% and 78.1% of the total variation were attributed to the process parameters studied, respectively. The R<sup>2</sup> value of 93.5% of the iodine number is greater than 90%, which indicates that the model quality is satisfactory and there is a good agreement between the experimental and predicted values. However, the R<sup>2</sup> of the yield (78.1%) is lower than 80%, which indicates less agreement between experimental and predicted values.<disp-formula id="e3">
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<mml:mo>&#x2b;</mml:mo>
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<mml:mtd>
<mml:mrow>
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<mml:mi mathvariant="italic">C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="italic">A</mml:mi>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
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<mml:mi mathvariant="italic">B</mml:mi>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>8.27</mml:mn>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mo>&#x2212;</mml:mo>
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<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">D</mml:mi>
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</mml:mtd>
</mml:mtr>
<mml:mtr>
<mml:mtd>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
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<mml:mi mathvariant="italic">A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>56.44</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>67.12</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>68.1</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:mtd>
</mml:mtr>
</mml:mtable>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="italic">Y</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>39.07</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.58</mml:mn>
<mml:mi mathvariant="italic">A</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.6</mml:mn>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.26</mml:mn>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.25</mml:mn>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.31</mml:mn>
<mml:mi mathvariant="italic">A</mml:mi>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.3</mml:mn>
<mml:mi mathvariant="italic">A</mml:mi>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.03</mml:mn>
<mml:mi mathvariant="italic">A</mml:mi>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.5</mml:mn>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.38</mml:mn>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.38</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.8</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">B</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.52</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">C</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1.62</mml:mn>
<mml:msup>
<mml:mi mathvariant="italic">D</mml:mi>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Respond surface analysis</title>
<p>The 3D curve of the response surface was plotted using Design-Expert 8.0.6 software in order to explore the interactive effect of the two factors on iodine number and yield of AC. <xref ref-type="fig" rid="F2">Figures 2</xref>, <xref ref-type="fig" rid="F3">3</xref> illustrate, respectively, the response surface analysis of IR, microwave power, microwave irradiation time, and vacuum degree on the combined effects of iodine number and yield. Each interaction contour in these figures is elliptical, demonstrating how strongly the two components in the diagram interact. The interplay between IR and power on iodine number is depicted in <xref ref-type="fig" rid="F2">Figure 2A</xref>, with vacuum and microwave irradiation duration at level 0. <xref ref-type="fig" rid="F2">Figure 2A</xref> shows that, in the experimental range, the iodine number first increases and then decreases as the IR increases. However, if the IR stays constant, the change in iodine number with increasing power is not statistically significant. With vacuum and power set to 0, <xref ref-type="fig" rid="F2">Figure 2B</xref> illustrates the interaction impact of IR and microwave irradiation period on iodine number. As demonstrated in <xref ref-type="fig" rid="F2">Figure 2B</xref>, the effect of the microwave irradiation period on the iodine number is not very obvious, but the change in IR had a sizable impact on the iodine number. <xref ref-type="fig" rid="F2">Figure 2C</xref> shows the interactive effect of IR and vacuum degree on iodine number and microwave irradiation time and microwave power at level 0. It can be seen from <xref ref-type="fig" rid="F2">Figure 2C</xref> that with the increase of vacuum degree, the iodine number first increases and then decreases; the iodine number is maximized at the highest point of the surface. A similar trend can be seen in <xref ref-type="fig" rid="F3">Figure 3</xref>: each factor has an ideal value within the experimental range, and when one factor is fixed, the other factor can also locate the greatest yield point in the experimental range. Comparing the results, it can be seen that the curved surface of the IR is the biggest, meaning that its impact on the yield is the most noticeable.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Combined effects of <bold>(A)</bold> IR and power, <bold>(B)</bold> IR and time, and <bold>(C)</bold> IR and vacuum degree on iodine number of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Combined effects of <bold>(A)</bold> IR and power, <bold>(B)</bold> IR and time, and <bold>(C)</bold> IR and vacuum degree on yield of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g003.tif"/>
</fig>
</sec>
<sec id="s3-2-3">
<title>3.2.3 RSM optimization and validation of the model</title>
<p>The optimum values for both responses (yield and iodine number of CCAC) were obtained using different sets of process parameters. In the study, Design-Expert 8.0.6 software was applied to perform numerical optimization for compromising between two responding factors. The optimized process slope shape is shown in <xref ref-type="fig" rid="F4">Figure 4</xref>. The optimum conditions for maximum iodine number and yield of CCAC were IR 1.7, power 550.62 W, vacuum degree -0.05 MPa, and microwave time 9.26&#xa0;min. RSM numerically optimized values for maximum CCAC iodine number and yield are summarized in <xref ref-type="table" rid="T5">Table 5</xref>. Under the optimal conditions, the iodine number and predicted yield were 970.91&#xa0;mg/g and 39.15%, respectively.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Optimized process slope shape.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g004.tif"/>
</fig>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Comparison of predicted and experimental results on iodine number and yield.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Operating conditions</th>
<th colspan="3" align="center">Iodine number (mg/g)</th>
<th colspan="3" align="center">Yield (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="center">A &#x3d; 1.7, B &#x3d; 550.62 W, C &#x3d; -0.05 MPa, and D &#x3d; 9.26&#xa0;min</td>
<td align="center">Experimental</td>
<td align="center">Predicted</td>
<td align="center">Error (%)</td>
<td align="center">Experimental</td>
<td align="center">Predicted</td>
<td align="center">Error (%)</td>
</tr>
<tr>
<td align="center">933.38</td>
<td align="center">970.91</td>
<td align="center">4.02</td>
<td align="center">37.57</td>
<td align="center">39.15</td>
<td align="center">4.21</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The values predicted from the optimization test were validated by performing experiments. The results from these experiments showed that an iodine number of 933.38&#xa0;mg/g and a yield of 37.57% were measured and that these measured values were in good agreement with the predicted values, with only minor differences 4.02% and 4.21% for CCAC iodine number and yield, respectively.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Infrared analysis of CC and CCAC</title>
<p>FT-IR analysis was used to qualitatively analyze the functional groups on the carbon&#x2019;s surface. A beam in the mid-infrared region (400&#x2013;4000&#xa0;cm<sup>-1</sup>) is transmitted to the sample. When the beam frequency matches the natural frequency of a particular chemical bond, resonance causes molecular motion (i.e., molecular stretching or bonding). This molecular motion is translated into peak intensity or transmittance at different wave numbers (cm<sup>-1</sup>). Various functional groups and possible compounds in pyrolytic AC can be determined by infrared analysis. <xref ref-type="fig" rid="F5">Figure 5</xref> is the infrared spectrum.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Infrared spectrum of CC; <bold>(B)</bold> infrared spectrum of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g005.tif"/>
</fig>
<p>According to the sample&#x2019;s infrared spectrum, the stretching vibration peak of the CC particle hydroxyl (-OH) is clearly visible at 3388&#xa0;cm<sup>-1</sup>, the C-H stretching vibration peak of the methylene and methyl groups is visible at 2922&#xa0;cm<sup>-1</sup>, and the stretching vibration peak of carbonyl C&#x3d;O is visible at 1636 cm<sup>-1</sup>.1371&#xa0;cm<sup>-1</sup> is a C-H bending vibration, whereas 1732&#xa0;cm<sup>-1</sup> and 1044&#xa0;cm<sup>-1</sup> are C-O-C pyramid ring skeleton vibrations. 1602&#xa0;cm<sup>-1</sup> and 1510&#xa0;cm<sup>-1</sup> are tiny absorption peaks next to the carbonyl vibration peak as lignin distinctive peaks. On the aromatic ring of lignin, 1250&#xa0;cm<sup>-1</sup> corresponds to the stretching vibrations of C&#x3d;C and C-O, which demonstrates that cellulose is the sample&#x2019;s principal structural component, along with lignin and hemicellulose (<xref ref-type="bibr" rid="B12">Ji et al., 2022</xref>). The CCAC&#x2019;s infrared spectrum revealed that the AC was dehydrated as a result of the removal of hydroxyl from catalytic organic molecules and the dehydration of phosphoric acid. The absorption peak of the C&#x3d;O structure vanished, and the hydroxyl peak was significantly diminished. The aromatic ring structure developed following pyrolysis was indicated by the bending vibration of 1582&#xa0;cm<sup>-1</sup>, which was C-H. The bending vibration of C-O is 1166 cm-1. When phosphoric acid produces phosphorus oxide, it combines with carbon to generate the C-O-P structure. As a result, no bands indicating the production of novel oxygen functional groups were seen on CCAC during microwave vacuum pyrolysis.</p>
</sec>
<sec id="s3-4">
<title>3.4 Characterization of CCAC using BET and SEM</title>
<p>
<xref ref-type="fig" rid="F6">Figures 6</xref>, <xref ref-type="fig" rid="F7">7</xref> show the distribution of the N<sub>2</sub> adsorption and desorption isotherm and the pore size of CCAC. A porosimetry analysis was carried out to determine the specific surface area, pore diameter, and volume of CCAC. The BET surface area of CCAC was evaluated at 995.09&#xa0;m<sup>2</sup>/g. From the Barrett Joyner Halenda (BJH) model, the calculated pore volume was evaluated at 0.708&#xa0;cm3/g.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>N<sup>2</sup> adsorption&#x2013;desorption isotherm of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Pore size distribution of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g007.tif"/>
</fig>
<p>The SEM images of CC and CCAC are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. It can be seen that CCAC subjected to H<sub>3</sub>PO<sub>4</sub> activation had significant effects. The size and shape of the pores present in CCAC are artificially created with different structures found in the raw material. The formation of pores is due to the release of volatiles within the CC by microwave heating (<xref ref-type="bibr" rid="B18">Li, 2020</xref>). In other words, a well-developed porous structure can be observed with a regular and homogeneous surface morphology.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(A)</bold> SEM photographs of raw material; <bold>(B)</bold> SEM photographs of CCAC.</p>
</caption>
<graphic xlink:href="fenvs-11-1105408-g008.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>This study has provided sustainable and environmentally friendly strategies for effective agricultural waste management and valorization approaches. Microwave pyrolysis of CC was carried out to produce CCAC. Effects of IR, microwave power, vacuum degree, and microwave irradiation time on CCAC iodine number and yield were investigated. The optimized parameters obtained were 550.62&#xa0;W, 9.26&#xa0;min, -0.05&#xa0;Mpa, and 1.7 IR, with responses of 37.57% yield and 933.38&#xa0;mg/g iodine. The model-predicted results were validated, and it was found that the experimental data varied only by 4.21% in yield and 4.02% in iodine number from the predicted values. The morphological and chemical characteristics of prepared CCAC evaluated using FT-IR, BET, and SEM exhibited the potential use of CCAC as an adsorbent. The application of low-cost CCAC as an adsorbent may lead to economic as well as environmental benefits by helping in the management of agricultural residue corn cobs.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material; further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>XH and XC were responsible for writing the manuscript, LJ was responsible for providing ideas, and XW was responsible for software.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>The study acknowledges the support of grants from the education department of the National Natural Science Foundation of China (41907116), the Basic Research Program of Jiangsu Province (BK20191040), Changzhou Science and Technology Program (International Science and Technology Cooperation) Project (CZ20170020), and Jiangsu Graduate Practice Innovation Program (XSJCX22_77).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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