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<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
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<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-id pub-id-type="publisher-id">1339601</article-id>
<article-id pub-id-type="doi">10.3389/fenrg.2023.1339601</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Microwave-assisted transesterification of <italic>Litchi chinensis</italic> seed oil using extracted KOH from potato waste for sustainable development</article-title>
<alt-title alt-title-type="left-running-head">Asif 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/fenrg.2023.1339601">10.3389/fenrg.2023.1339601</ext-link>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Asif</surname>
<given-names>Tahir</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<contrib contrib-type="author">
<name>
<surname>Noor</surname>
<given-names>Fahad</given-names>
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<sup>1</sup>
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<contrib contrib-type="author">
<name>
<surname>Imran</surname>
<given-names>Shahid</given-names>
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<sup>1</sup>
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<name>
<surname>Mujtaba</surname>
<given-names>M. A.</given-names>
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<sup>1</sup>
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<name>
<surname>Farooq</surname>
<given-names>Muhammad</given-names>
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<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<name>
<surname>Fouad</surname>
<given-names>Yasser</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Kalam</surname>
<given-names>M. A.</given-names>
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<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Uddin</surname>
<given-names>Ghulam Moeen</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<aff id="aff1">
<sup>1</sup>
<institution>Faculty of Mechanical Engineering</institution>, <institution>University of Engineering and Technology</institution>, <addr-line>Lahore</addr-line>, <country>Pakistan</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Applied Mechanical Engineering</institution>, <institution>College of Applied Engineering</institution>, <institution>Muzahimiyah Branch</institution>, <institution>King Saud University</institution>, <addr-line>Riyadh</addr-line>, <country>Saudi Arabia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>School of Civil and Environmental Engineering</institution>, <institution>FEIT</institution>, <institution>University of Technology Sydney</institution>, <addr-line>Sydney</addr-line>, <addr-line>NSW</addr-line>, <country>Australia</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/437188/overview">Abdul-Sattar Nizami</ext-link>, Government College University, Pakistan</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/1629775/overview">Sanja Josip Armakovic</ext-link>, University of Novi Sad, Serbia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/801993/overview">Muhammad Shahbaz</ext-link>, Hamad bin Khalifa University, Qatar</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1683873/overview">Alberto Pettinau</ext-link>, Sotacarbo S.p.A., Italy</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Tahir Asif, <email>tahir.asif@uet.edu.pk</email>; Yasser Fouad, <email>yfouad@ksu.edu.sa</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>15</day>
<month>01</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>11</volume>
<elocation-id>1339601</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>11</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>19</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Asif, Noor, Imran, Mujtaba, Farooq, Fouad, Kalam and Uddin.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Asif, Noor, Imran, Mujtaba, Farooq, Fouad, Kalam and Uddin</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The fast depletion of conventional fuel supplies has forced the world to find suitable substitutes to overcome the expected energy crisis. Fossil fuels also contribute to global warming because of their harmful emissions. Biofuels are sustainable and environment friendly. Biodiesel can be sourced from both edible and non-edible oils to replace fossil fuels. To avoid a shortage of food supply, it is preferred to produce biodiesel from non-edible oils. In this research, <italic>Litchi chinensis</italic> seed oil (LSO) is used as a feedstock to synthesize biodiesel employing transesterification using a microwave oven. The catalyst, potassium hydroxide (KOH), used in this research was extracted from potato waste. Sun-dried potato waste was converted into ash. The produced ash is then dissolved in distilled water, leading to a 34% yield of KOH. The transesterification achieves a 92.9% conversion rate under the conditions: 30% microwave power utilization, a catalyst loading of 15% (W/W), a stirring speed of 700 RPM, and a methanol concentration of 70% (V/V) with an 8-min reaction time. Response surface methodology (RSM), in comparison with artificial neural networks (ANNs), has been utilized for the optimization of biodiesel yield, giving efficient results with errors of 0.003% for RSM and 0.005% for ANN. Consequently, the study reports optimized biodiesel yields of 92.9% (experimental), 93.27% (RSM), and 92.40% (ANN). Physicochemical properties such as kinematic viscosity (4.4&#xa0;mm<sup>2</sup>/s) at 40&#xb0;C, density (875&#xa0;kg/m<sup>3</sup>) at 15&#xb0;C, cetane number (53.2), calorific value (38.8&#xa0;MJ/kg), flash point (175&#xb0;C), oxidative stability (6.1&#xa0;h), and cold flow properties were determined with respect to the ASTM and EN standards. The findings reveal that biofuels primarily support Sustainable Development Goals (SDGs) 7 and 13, with the prime focus on &#x201c;affordable and clean energy&#x201d; and &#x201c;climate action,&#x201d; respectively.</p>
</abstract>
<kwd-group>
<kwd>
<italic>Litchi chinensis</italic>
</kwd>
<kwd>biodiesel</kwd>
<kwd>potato waste</kwd>
<kwd>response surface methodology and artificial neural network</kwd>
<kwd>microwave</kwd>
<kwd>sustainable environment</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Bioenergy and Biofuels</meta-value>
</custom-meta>
</custom-meta-wrap>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>For decades, petroleum has been the backbone of the industrialized society. Heavy dependence on petroleum is undeniable, as it is essential to produce liquid fuels, petrochemicals, road construction materials, packaging, and advanced medical technologies (<xref ref-type="bibr" rid="B11">Cormos et al., 2013</xref>; <xref ref-type="bibr" rid="B9">Cheng et al., 2021</xref>; <xref ref-type="bibr" rid="B35">Liu et al., 2022a</xref>; <xref ref-type="bibr" rid="B28">Kabeyi and Olanrewaju, 2022</xref>). Since the start of the industrial revolution in the late 18th and early 19th centuries, energy has been an essential factor in ensuring sustained economic growth and sustaining a rising living standard (<xref ref-type="bibr" rid="B58">Wang et al., 2022</xref>). The International Energy Agency (IEA) forecasts that by 2030, the global energy demand will be 50% more than it is today (<xref ref-type="bibr" rid="B3">Amran et al., 2020</xref>), with China and India being responsible for about half of the increase. Estimations suggest that the worldwide energy demand linked to transportation is anticipated to increase by over 25% from 2017 to 2040 (<xref ref-type="bibr" rid="B62">Yusoff et al., 2022</xref>). Four million barrels of oil leaked into the Gulf of Mexico during transportation that resulted in some harmful ecological and economic effects across the continent (<xref ref-type="bibr" rid="B57">Wang et al., 2023</xref>). Air pollution and the greenhouse effect produced by emissions from combustion engines have gained more attention recently. Many scientists agree that climate change is one of the most significant issues that our ecosystem is facing. The global surface temperature has risen by &#x2248;0.2&#xb0;C per decade over the last 3&#xa0;decades (<xref ref-type="bibr" rid="B22">Hansen et al., 2006</xref>). If the global average temperature rises by 2&#xb0;C, millions of species may face death, and the lives of multiple humans could be at risk (<xref ref-type="bibr" rid="B33">Li et al., 2023</xref>).</p>
<p>Over the past decade, it has become evident that greenhouse gases, especially CO<sub>2</sub>, pose a significant threat to future generations by contributing to climate change and global warming. From 2020 to 2035, it has been predicted that more than 4 billion MT (metric tons) of CO<sub>2</sub> will be discharged into the environment (<xref ref-type="bibr" rid="B60">Yang et al., 2023</xref>). In Western countries, the transportation sector constitutes almost 30% of the overall energy consumption, with approximately one-third of this energy usage attributed specifically to light-duty vehicles (LDVs). Emissions released by cars running on fossil fuels have forced the European Union (EU) to propose a ban on the use of fossil-fuel cars starting 2035. Biofuels and e-fuels are possible alternatives to fossil fuels (<xref ref-type="bibr" rid="B36">Liu et al., 2022b</xref>). The increased global recognition of energy challenges has strengthened research efforts to explore the potential use of alternative and renewable sources of energy. Biodiesel is biodegradable and carbon-neutral by nature. Biodiesel can be synthesized from a range of sources such as edible oils (<xref ref-type="bibr" rid="B33">Li et al., 2023</xref>; <xref ref-type="bibr" rid="B60">Yang et al., 2023</xref>), non-edible oils (<xref ref-type="bibr" rid="B42">Moser, 2008</xref>; <xref ref-type="bibr" rid="B36">Liu et al., 2022b</xref>; <xref ref-type="bibr" rid="B6">Bankovi&#x107;-Ili&#x107; et al., 2012</xref>; <xref ref-type="bibr" rid="B52">Silitonga et al., 2019</xref>), animal fats (<xref ref-type="bibr" rid="B56">Wang et al., 2023</xref>), waste cooking oil (WCO) (<xref ref-type="bibr" rid="B12">Degfie et al., 2019</xref>), and algae (<xref ref-type="bibr" rid="B30">Kan et al., 2023a</xref>). Over 60 countries around the world are utilizing biodiesel to cope with their energy challenges (<xref ref-type="bibr" rid="B63">Yusoff et al., 2021</xref>). Many countries are promoting the adoption of biodiesel to reduce their dependence on fossil fuels. Among potential candidates, edible oils like palm oil (PO) are promising due to their high oil yield for biodiesel synthesis. However, there is a growing interest in utilizing biodiesel sourced from non-edible crops as a future source for biodiesel production. This shift is aimed at reducing reliance on edible oils and reducing their long-term demands on the human food supply. Non-edible plants like <italic>Jatropha curcas</italic> (<xref ref-type="bibr" rid="B5">Azad et al., 2015</xref>), <italic>Moringa</italic> (<xref ref-type="bibr" rid="B55">Vijay Kumar et al., 2019</xref>), and mahua (<xref ref-type="bibr" rid="B29">Kan et al., 2023b</xref>) have acquired significant consideration in this regard. <xref ref-type="bibr" rid="B48">Rahul et al. (2022)</xref> produced biodiesel using a microwave oven from non-edible silk-cotton seed oil.</p>
<p>The common advantage of biodiesel is its local origin, which decreases the reliance on imported petroleum. Biodiesel is also biodegradable, has an elevated flash point, and also possesses lubricity. It does not produce SO<sub>x</sub> and has very low harmful emissions when compared to petroleum diesel. It also releases a reduced amount of carbon dioxide (<xref ref-type="bibr" rid="B46">Pandey et al., 2010</xref>). <xref ref-type="bibr" rid="B25">Ilkilic and Beh&#xe7;et (2010)</xref> evaluated the decrease of NO<sub>x</sub> by 19%, CO by 22%, and CO<sub>2</sub> by 13% using biodiesel blends as compared with commercial diesel (<xref ref-type="bibr" rid="B64">Zhang et al., 2000</xref>; <xref ref-type="bibr" rid="B13">Duan et al., 2007</xref>).</p>
<p>Several feedstocks containing edible and non-edible oils are applicable to synthesize biodiesel. Researchers are more focused on using non-edible oils for sourcing biofuels to avoid a shortage of the food supply chain. <italic>Litchi chinensis</italic> is a significant fruit dispersed over various regions of the world, largely in subtropical areas. It is a common fruit found in southeast Asia. The by-products and waste of <italic>Litchi chinensis</italic> contain <italic>Litchi chinensis</italic> husks and seeds. Prior research on the biochemical processes of this fruit has been primarily focused on its pericarp because it carries an abundance of potential antioxidants. These antioxidants have been utilized for their medicinal properties over an extended period (<xref ref-type="bibr" rid="B5">Azad et al., 2015</xref>; <xref ref-type="bibr" rid="B55">Vijay Kumar et al., 2019</xref>). The seed from <italic>Litchi chinensis</italic> was examined for its oil production, fatty acids, and tocopherols. The amount of oil extracted from <italic>Litchi chinensis</italic> seeds with hexane is up to 3.2%. <italic>Litchi chinensis</italic> seed oil has been characterized by the availability of higher contents of dihydrosterculic acid (46.9%) and oleic acid (29.3%). The production of <italic>Litchi chinensis</italic> in the world is 2.11 million tons, of which 95% is produced in Asia. The highest producers of <italic>Litchi chinensis</italic> are China, India, Taiwan, and Vietnam.</p>
<p>Catalysts play a substantial role in boosting and streamlining chemically catalyzed reactions (<xref ref-type="bibr" rid="B50">Rizwanul et al., 2020</xref>). They are classified into three primary categories: 1) homogeneous, 2) heterogeneous, and 3) enzyme-based catalysts. Homogeneous catalysts (i.e., NaOH and KOH) are mostly utilized in biodiesel production. They are cost-effective, readily accessible, and capable of yielding a significant amount of biodiesel in a short period (400 times faster than acid catalysts) (<xref ref-type="bibr" rid="B20">Fukuda et al., 2001</xref>). KOH is a stronger base than NaOH, as it releases OH<sup>&#x2212;</sup>ions readily. It also rapidly dissolves in methanol and glycerin. Due to these reasons, researchers prefer to utilize KOH in the biodiesel synthesis process.</p>
<p>KOH can be extracted from vegetables rich in potassium, for example, spinach, banana stems, and potatoes. The potassium salts are transformed into potassium oxide, which is then converted to KOH. The extracted KOH is much cheaper than the commercially available potassium hydroxide. The literature is not enough on how to utilize potash extracted from biomass resources, as biodiesel production from alkaline-based biodiesel is more common (<xref ref-type="bibr" rid="B14">Efeovbokhan et al., 2016</xref>).</p>
<p>Potatoes are one of the most concentrated sources of potassium, surpassing other commonly recognized high-potassium foods like bananas, oranges, and broccoli. They have a diverse array of vitamins and minerals, especially potassium, magnesium, and iron. Across all potato varieties, potassium leads to the highest content among the minerals they offer, and they remain an economical option. In particular, white potatoes come at nearly half the cost of most other vegetables, rendering them a more cost-effective means of obtaining potassium (<xref ref-type="bibr" rid="B7">Beals, 2019</xref>). <xref ref-type="bibr" rid="B1">Ahmad et al. (2023)</xref> produced biodiesel with extracted KOH from plantain stems using WCO as a feedstock.</p>
<p>The response surface methodology model is an important technique for the optimization of biodiesel yield (<xref ref-type="bibr" rid="B19">Fetimi et al., 2022</xref>). The optimal conditions for the transesterification reaction are calculated with the use of RSM (<xref ref-type="bibr" rid="B44">Ofoefule et al., 2019</xref>). The RSM employs the central composite design (CCD) to improve process variables such as oil/methanol volume ratio or molar ratio, concentration of the catalyst, time for the reaction to be carried out, and temperature of the reaction for optimal production of biodiesel (<xref ref-type="bibr" rid="B23">Helmi et al., 2021</xref>). The fundamental benefit of the RSM is its capacity to decrease experimental observations, which is important to develop statistically significant results (<xref ref-type="bibr" rid="B10">Chung et al., 2022</xref>). The RSM is used to optimize the conversion of vegetable oils to biofuels, i.e., sesame oil (<xref ref-type="bibr" rid="B8">Betiku and Adepoju, 2013</xref>), <italic>Moringa oleifera</italic> oil (<xref ref-type="bibr" rid="B2">Amini et al., 2008</xref>), rape seed oil (<xref ref-type="bibr" rid="B61">Yuan et al., 2008</xref>), and cotton seed oil (<xref ref-type="bibr" rid="B66">Zhang et al., 2010</xref>). <xref ref-type="bibr" rid="B40">Milano et al. (2018)</xref> applied transesterification to synthesize biodiesel from a blend of WCO and <italic>Calophyllum inophyllum</italic> oil using a microwave oven. The RSM was implemented to achieve a biodiesel yield of 97.65% in 9.15&#xa0;min. This methodology includes enhanced biodiesel yields, accelerated chemical reactions, and reduced overall energy consumption.</p>
<p>Machine and deep learning methodologies, along with specific algorithms, have modernized many industrial sectors, especially the optimization of biodiesel production. The capabilities of these algorithms are superior to traditional machine learning methods, resulting in a substantial advancement in their efficiency, adaptability, and overall performance across various applications. These methodologies empower deep neural networks to adapt and improve their operational efficacy, particularly when confronted with shifting data patterns, non-static environments, or unforeseen and evolving variables. This adaptability permits them to continuously optimize and refine their performance over time (<xref ref-type="bibr" rid="B67">Zhang et al., 2020</xref>). The integration of these algorithms with optimization techniques presents a successful approach in managing complicated connections among input reaction parameters and desired output parameters, effectively balancing factors like production yield and product quality in complex systems (<xref ref-type="bibr" rid="B59">Wu and Zhao, 2020</xref>).</p>
<p>Artificial neural network (ANN) practice has grown in popularity recently due to its computational efficiency (<xref ref-type="bibr" rid="B27">Jalali et al., 2021</xref>). ANN is proficient in solving complex and complicated non-linear problems. It is used for nonlinear function calculation, data categorization, and nonparametric regression (<xref ref-type="bibr" rid="B34">Lin et al., 2020</xref>). For the production of biodiesel, ANN uses artificial intelligence to optimize esterification and transesterification reactions (<xref ref-type="bibr" rid="B2">Amini et al., 2008</xref>; <xref ref-type="bibr" rid="B61">Yuan et al., 2008</xref>). <xref ref-type="bibr" rid="B31">Kolakoti (2020)</xref> applied the ANN technique to achieve a maximum biodiesel yield of 92.17% and found it to be accurate for predicting the biodiesel yield. ANN is used with RSM to optimize the yield of biodiesel because ANN can handle nonlinear relationships and complex patterns within data, complementing RSM&#x2019;s ability to model and optimize processes based on experimental data (<xref ref-type="bibr" rid="B39">Maran and Priya, 2015</xref>). The ANN and RSM, when employed together, have been demonstrated to be effective methodologies for the process modeling of biofuels, which can save energy, money, and time (<xref ref-type="bibr" rid="B49">Rajendra et al., 2009</xref>).</p>
<p>Biodiesel can be synthesized using modern tools that are more efficient in terms of energy. For instance, microwave technology can replace the conventional heating system, which significantly reduces the required power and shortens the reaction duration. Adoption of the microwave system in the transesterification process will accelerate biodiesel synthesis and decrease reaction time. This acceleration is achieved by accelerated heat transfer and improved chemical reactions, resulting in 48% energy savings (<xref ref-type="bibr" rid="B18">Fattah et al., 2014a</xref>; <xref ref-type="bibr" rid="B17">Fattah et al., 2014b</xref>; <xref ref-type="bibr" rid="B45">Palma et al., 2020</xref>).</p>
<p>There is limited literature available on the extraction of potassium hydroxide (KOH) from potato waste. The implications of RSM and ANN for optimizing the biodiesel yield from <italic>Litchi chinensis</italic> seed oil have not been investigated earlier. In the present study, KOH as a catalyst was extracted from potato waste, and a modified microwave was used as the biodiesel reactor for LSO biodiesel production. The RSM utilizing CCD and ANN methodologies was used to optimize the impact of catalyst (KOH) concentration (wt%), methanol/oil concentration (%V/V), reaction time (minutes), and stirring speed (RPM). The yield of biodiesel was enhanced using former methodologies. The study also includes the validation of the physicochemical properties of the synthesized biodiesel. The outline of this study is as follows: materials and methods are explained in <xref ref-type="sec" rid="s2">Section 2</xref>, while results and discussion are reported in <xref ref-type="sec" rid="s3">Section 3</xref>. The conclusion follows in <xref ref-type="sec" rid="s4">Section 4</xref>.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<p>A microwave oven (DW-295) and stirrer were used in this research; all other chemicals employed were of analytical grade.</p>
<sec id="s2-1">
<title>2.1 Extraction of the catalyst</title>
<sec id="s2-1-1">
<title>2.1.1 Conversion of potato waste to ash</title>
<p>Ten kilograms of potato waste was initially cleaned to eliminate any debris and dust particles, followed by multiple washes with deionized water. Afterward, the cleaned potato waste was placed for sun drying for 72&#xa0;h, resulting in 2&#xa0;kg of dried potato waste. The sample (2&#xa0;kg) was converted to powder by using a grinder. Then, it was subjected to a 2-h burning process in a furnace set at 600&#xb0;C for the removal of carbonates. The calcination process at 600&#xb0;C indeed induces the breakdown of organic compounds present in the potato waste powder. During calcination, the high temperature causes the elimination of organic compounds such as cellulose, starch, sugars, and carbon-based compounds present in the potatoes. It leads to the potential release of volatile elements like water vapor and carbon dioxide. The ash was found to be 16% (calculated by Eq. <xref ref-type="disp-formula" rid="e1">1</xref>). The catalyst extraction methodology from potato waste is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.<disp-formula id="e1">
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<mml:mn>100</mml:mn>
<mml:mo>.</mml:mo>
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<label>(1)</label>
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</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Flow diagram for the extraction of KOH from potato waste.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g001.tif"/>
</fig>
</sec>
<sec id="s2-1-2">
<title>2.1.2 KOH extraction from potato waste ash</title>
<p>KOH is produced by hydrating K<sub>2</sub>O from ash sample. A 20&#xa0;g portion of the prepared ash was measured and dissolved in distilled water (10&#xa0;mL/g) in a 500&#xa0;mL beaker. The prepared solution was put on a hot plate, and it was continuously stirred for a duration of 2&#xa0;h at 60&#xb0;C. Then, the solution was filtered and dried by heating. The recovered KOH was 34% calculated by Eq. <xref ref-type="disp-formula" rid="e2">2</xref>.<disp-formula id="e2">
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<label>(2)</label>
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</p>
</sec>
</sec>
<sec id="s2-2">
<title>2.2 Pretreatment of <italic>Litchi chinensis</italic> seed oil</title>
<p>The acid value of <italic>Litchi chinensis</italic> seed oil was calculated by Eq. <xref ref-type="disp-formula" rid="e3">3</xref>. The free fatty acid (FFA) value was then calculated as [acid value (AV)]/2 (<xref ref-type="bibr" rid="B34">Lin et al., 2020</xref>; <xref ref-type="bibr" rid="B54">Tran-et al., 2020</xref>; <xref ref-type="bibr" rid="B32">Laskar et al., 2022</xref>).<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>V</mml:mi>
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<mml:mi>V</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>N</mml:mi>
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<mml:mi>W</mml:mi>
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</mml:mrow>
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<label>(3)</label>
</disp-formula>where <italic>N</italic> denotes the normality of KOH, <italic>W</italic> indicates the weight of utilized LSO, and <italic>V</italic> is the combined volume of potassium hydroxide and distilled water.</p>
<p>If the FFA composition of <italic>Litchi chinensis</italic> seed oil is higher than 2%, then the feedstock has to be improved with H<sub>2</sub>SO<sub>4</sub> through a process called esterification. The esterification is done by using H<sub>2</sub>SO<sub>4</sub> and methanol at 1.5% and 70% volume of oil, respectively. The stirring speed (600 RPM) and temperature (60&#xb0;C) were maintained for 2&#xa0;h (<xref ref-type="bibr" rid="B24">Ighose et al., 2017</xref>; <xref ref-type="bibr" rid="B40">Milano et al., 2018</xref>; <xref ref-type="bibr" rid="B26">Ishola et al., 2019</xref>). Once the esterification is done, then transesterification is carried out.</p>
</sec>
<sec id="s2-3">
<title>2.3 Experimental setup for the production of biodiesel</title>
<p>The experimental setup in the schematic form is displayed in <xref ref-type="fig" rid="F2">Figure 2</xref>. The experimental setup for biodiesel synthesis consists of a round bottom flask that is placed in the microwave oven and having an extended neck with three openings. In one opening, a glass condenser is attached, the central opening carries the glass stirrer, and the third opening is used to monitor the temperature and for charging the raw material. A 500&#xa0;mL separating funnel is utilized to separate the layers. The characterization of biodiesel was done by using GCMS and that of the catalyst by using Fourier transform infrared spectroscopy (FTIR). <xref ref-type="table" rid="T1">Table 1</xref> illustrates the specifications of the microwave oven used in this study.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic of the experimental setup to produce biodiesel.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g002.tif"/>
</fig>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Specifications of the microwave oven.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Specification</th>
<th align="center">DW-295</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Capacity</td>
<td align="center">20&#xa0;L</td>
</tr>
<tr>
<td align="center">Maximum power</td>
<td align="center">700&#xa0;W (can operate at 10%, 30%, 50%, 80%, 100%)</td>
</tr>
<tr>
<td align="center">Round bottom flask material</td>
<td align="center">Borosilicate glass</td>
</tr>
<tr>
<td align="center">Rated voltage</td>
<td align="center">230&#xa0;V</td>
</tr>
<tr>
<td align="center">Rated frequency</td>
<td align="center">50&#xa0;Hz</td>
</tr>
<tr>
<td align="center">Frequency of microwave</td>
<td align="center">2450&#xa0;MHz</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-4">
<title>2.4 Biodiesel production from <italic>Litchi chinensis</italic> seed oil</title>
<p>LSO was used to synthesize biodiesel via a microwave-assisted transesterification process. Catalyst concentration, methanol concentration, time, and stirrer speed are the four important operating parameters that influence the biodiesel yield. The power of the microwave oven (30%) and time for the reaction are adjusted in such a way that the temperature is maintained at 64&#xb0;C. After transesterification is completed, the solution was kept for 8&#xa0;h to separate glycerin from the sourced biodiesel.</p>
<p>Glycerin was collected from the separating funnel. The resulting biodiesel was washed up using hot distilled water to eliminate any suspended glycerin particles and soap. After washing, biodiesel was collected in a separate beaker, and water contents were eliminated by heating at 100&#xb0;C for half an hour. The ranges of operating parameters are given in <xref ref-type="table" rid="T2">Table 2</xref>.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Ranges of operating variables.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Operating variable</th>
<th align="center">Units</th>
<th align="center">Range</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Catalyst concentration</td>
<td align="center">W/W%</td>
<td align="center">10&#x2013;15</td>
</tr>
<tr>
<td align="center">Stirring speed</td>
<td align="center">RPM</td>
<td align="center">500&#x2013;700</td>
</tr>
<tr>
<td align="center">Reaction time</td>
<td align="center">Minutes</td>
<td align="center">5&#x2013;8</td>
</tr>
<tr>
<td align="center">Methanol concentration</td>
<td align="center">%V/V</td>
<td align="center">40&#x2013;70</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s2-4-1">
<title>2.4.1 Yield optimization of biodiesel</title>
<p>Operating variables were optimized using Design Expert 13.0 to obtain the maximum possible biodiesel yield. Four independent parameters for optimization include catalyst concentration (wt%), methanol concentration (vol%), time for reaction (minutes), and the speed of stirring (RPM). To verify RSM output, an ANN was used. In <xref ref-type="fig" rid="F3">Figure 3</xref>, the microwave-assisted transesterification reaction is illustrated.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Microwave-assisted transesterification reaction using extracted KOH.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g003.tif"/>
</fig>
</sec>
<sec id="s2-4-2">
<title>2.4.2 ANN method</title>
<p>ANN is analogous to that of neuronal networks within the human brain. It is used to verify RSM yields and predict the optimum yield. Synaptic weights are typically used to link neurons in ANN. The optimal response is achieved by training neurons according to their given function (for example, tansig or purelin). Neurons have the capacity to store information.</p>
<p>The feedforward backpropagation ANN was configured with the trainlm training algorithm, the learngdm adaptation learning function, and the mean square error performance function. The standard ANN architecture consists of seven neurons distributed across three input layers, three hidden layers, and the last output layer. Transfer functions like logsig, tansig, and purelin are implemented on these levels. The biodiesel yield is the output of 17 iterations of independent variables of this model. The MATLAB R2019a (The MathWorks, Inc., Natick, USA) had been utilized to create the ANN.</p>
</sec>
<sec id="s2-4-3">
<title>2.4.3 Statistical data analysis</title>
<p>The implementation of the RSM and ANN is presented by the coefficient of determination (denoted by <italic>R</italic>
<sup>2</sup>), mean square error (denoted by MSE), root mean square error (denoted by RMSE), and finally, standard error of prediction (denoted by SEP). These terms are calculated, respectively, by Eq. <xref ref-type="disp-formula" rid="e4">4</xref>, Eq. <xref ref-type="disp-formula" rid="e5">5</xref>, Eq. <xref ref-type="disp-formula" rid="e6">6</xref>, and Eq. <xref ref-type="disp-formula" rid="e7">7</xref> (<xref ref-type="bibr" rid="B31">Kolakoti, 2020</xref>; <xref ref-type="bibr" rid="B39">Maran and Priya, 2015</xref>).<disp-formula id="e4">
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<mml:math id="m5">
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<mml:mtext>MSE</mml:mtext>
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<label>(5)</label>
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<mml:math id="m6">
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<mml:mtext>RMSE</mml:mtext>
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<label>(6)</label>
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<disp-formula id="e7">
<mml:math id="m7">
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<mml:mtext>SEP</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mtext>RMSE</mml:mtext>
<mml:mrow>
<mml:mi>y</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>v</mml:mi>
<mml:mi>g</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where <italic>n</italic> corresponds to the number of points, <italic>ye</italic> represents the actual value, <italic>yp</italic> represents the predicted value, and <italic>yavg</italic> represents the average of the actual values.</p>
</sec>
</sec>
<sec id="s2-5">
<title>2.5 FTIR of KOH</title>
<p>FTIR of KOH was performed with the help of a PerkinElmer Spectrum One with wavenumbers ranging from 500 to 4,000&#xa0;cm<sup>&#x2212;1</sup>. In FTIR, infrared light passes through a sample. The light absorbed by the sample is evaluated as a function of the frequency of light. This provides information about the vibrational modes of the molecules in the sample and can be used to identify the functional groups.</p>
</sec>
<sec id="s2-6">
<title>2.6 GCMS analysis of biodiesel</title>
<p>The GCMS evaluation of biodiesel sourced from LSO was performed by operating the Shimadzu GCMS-QP2010. For the analysis, a Shimadzu Model QP2010 equipped with a capillary column (30&#xa0;m length &#xd7; 0.25&#xa0;mm OD &#xd7; 0.25&#xa0;&#xb5;m film thickness) was utilized, with helium as the carrier gas. The flow rate was maintained at 1.5&#xa0;mL/min. The volume of the injected sample was 1&#xa0;&#xb5;L. The oven temperature was set at 60&#xb0;C, maintained for 2&#xa0;min, then increased from 60&#xb0;C to 200&#xb0;C at the rate of 10&#xb0;C/min, and finally increased from 200&#xb0;C to 240&#xb0;C at the rate of 5&#xb0;C/min, where it was kept for 7&#xa0;min. The post-run was done at 255&#xb0;C and maintained there for 0.5&#xa0;min.</p>
</sec>
<sec id="s2-7">
<title>2.7 Characterization techniques for biodiesel</title>
<p>The physicochemical properties of the synthesized biodiesel have been evaluated using the following techniques and methods as mentioned in <xref ref-type="table" rid="T3">Table 3</xref>.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Characterization techniques for physicochemical properties of biodiesel.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Property</th>
<th align="center">Units</th>
<th align="center">Test method</th>
<th align="center">Technique/equipment</th>
<th align="center">Model name</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Density at 15&#xb0;C</td>
<td align="center">kg/m<sup>3</sup>
</td>
<td align="center">ASTM D4052</td>
<td align="center">Mettler Toledo density meters</td>
<td align="center">DMA 4500</td>
</tr>
<tr>
<td align="center">Kinematic viscosity at 40&#xb0;C</td>
<td align="center">mm<sup>2</sup>/s</td>
<td align="center">ASTM D445</td>
<td align="center">Efflux viscometer</td>
<td align="center">Redwood No. 1</td>
</tr>
<tr>
<td align="center">Acid value</td>
<td align="center">mg KOH/g</td>
<td align="center">ASTM D664</td>
<td align="center">Titrator</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">Cetane no.</td>
<td align="left"/>
<td align="center">ASTM D4737</td>
<td align="center">Cetane rating unit</td>
<td align="center">CFR F5</td>
</tr>
<tr>
<td align="center">Calorific value</td>
<td align="center">MJ/kg</td>
<td align="center">ASTM D240</td>
<td align="center">Bomb calorimeter</td>
<td align="center">Parr 6400</td>
</tr>
<tr>
<td align="center">Flash point</td>
<td align="center">&#xb0;C</td>
<td align="center">ASTM D93</td>
<td align="center">Automatic tester for flash point</td>
<td align="center">Pensky-Martens</td>
</tr>
<tr>
<td align="center">Oxidative stability</td>
<td align="center">h</td>
<td align="center">EN 14112</td>
<td align="center">Rancimat method</td>
<td align="center">Metrohm 893</td>
</tr>
<tr>
<td align="center">Cloud point</td>
<td align="center">&#xb0;C</td>
<td align="center">ASTM D2500</td>
<td rowspan="2" align="center">Automatic tester used for pour point and cloud point</td>
<td rowspan="2" align="center">Anton Paar CPP 5Gs</td>
</tr>
<tr>
<td align="center">Pour point</td>
<td align="center">&#xb0;C</td>
<td align="center">ASTM D97</td>
</tr>
<tr>
<td align="center">Cold filter plugging point</td>
<td align="center">&#xb0;C</td>
<td align="center">ASTM D6371</td>
<td align="center">Cold filter plugging point tester</td>
<td align="center">Callisto 100</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>This section includes the analysis of extracted KOH using FTIR. Additionally, optimization studies are conducted utilizing both RSM and ANN techniques. The precision and suitability of both models are analyzed based on statistical data. The properties of the biodiesel derived from <italic>Litchi chinensis</italic> seed oil are evaluated, and finally, the composition of the resulting biodiesel is discussed. Furthermore, the energy consumption by regular transesterification with that by using a microwave oven is compared.</p>
<sec id="s3-1">
<title>3.1 FTIR of pure and extracted KOH</title>
<p>The wavenumber deployed is in the range of 500&#x2013;4,000&#xa0;cm<sup>&#x2212;1</sup>. The FTIR analyses (see <xref ref-type="fig" rid="F4">Figure 4</xref>) of pure KOH and that of extracted KOH are represented as blue and orange patterns, respectively. Peaks at 3,591&#xa0;cm<sup>&#x2212;1</sup> and 1,405&#xa0;cm<sup>&#x2212;1</sup> represent the molecular transmittance of pure KOH for OH strengthening in the hydroxyl group. Peaks at 1,733&#xa0;cm<sup>&#x2212;1</sup> and 1,583&#xa0;cm<sup>&#x2212;1</sup> detect H<sub>2</sub>O absorption in pure KOH, while those at 886&#xa0;cm<sup>&#x2212;1</sup> identify the bond between KO in pure KOH. Other peaks that are present in the FTIR spectrum of KOH include those corresponding to bending vibrations of the O-H bond and vibrations of the K-O-H bond. The slight deviation between the pure KOH and extracted KOH patterns (<xref ref-type="fig" rid="F4">Figure 4</xref>) is due to the presence of other impurities.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>FTIR of pure and extracted KOH.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g004.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 <italic>Litchi chinensis</italic> seed oil pretreatment</title>
<p>The FFA composition of the <italic>Litchi chinensis</italic> seed oil was calculated, and it was noted that the FFA composition was 2.5%, i.e., higher than 2%, so the oil was pretreated to reduce its FFA. The FFA was decreased to 0.5049&#xa0;mg KOH/g. It is observed that the FFA proportion of the LSO after esterification had been lowered to less than 2%, implying that now the oil can be utilized for transesterification for biodiesel production.</p>
</sec>
<sec id="s3-3">
<title>3.3 Biodiesel yield optimization using RSM</title>
<p>Since the biodiesel output is dependent on the operating parameters, RSM creates an interaction between the parameters to find the best possible arrangement for biodiesel production. Consider four reactant inputs: the methanol concentration (A), the concentration of the catalyst (B), the time for the reaction to be carried out (C), and the stirring speed (D). For 29 different tests, <italic>Litchi chinensis</italic> seed oil was used to produce biodiesel.<disp-formula id="e8">
<mml:math id="m8">
<mml:mrow>
<mml:mi>Y</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>d</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>87.59</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.18</mml:mn>
<mml:mi>A</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.3129</mml:mn>
<mml:mi>B</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.53</mml:mn>
<mml:mi>C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.33</mml:mn>
<mml:mi>D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.6744</mml:mn>
<mml:mi>A</mml:mi>
<mml:mi>B</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.2669</mml:mn>
<mml:mi>A</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>0.9356</mml:mn>
<mml:mi>A</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>1.74</mml:mn>
<mml:mi>B</mml:mi>
<mml:mi>C</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.1169</mml:mn>
<mml:mi>B</mml:mi>
<mml:mi>D</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>0.0006</mml:mn>
<mml:mi>C</mml:mi>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>
</p>
<p>The predictions are made considering the outcomes for the provided levels of each factor by using Eq. <xref ref-type="disp-formula" rid="e8">8</xref> in the coded factors. &#x2b;1 and &#x2212;1 have been termed as the high and low levels of the factors, respectively. The comparison of the factor coefficients for detecting the relative effect of the factors shows that the coded equation is feasible. The matrix for experimentation, established by the Design-Expert software that involves CCD arrangement, and the results are listed in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Experimental design to optimize biodiesel yield derived from LSO.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">A: Run</th>
<th align="center">B: Methanol/oil, vol%</th>
<th align="center">C: Catalyst concentration, Wt.%</th>
<th align="center">D: Reaction time, minutes</th>
<th align="center">E: Stirring speed, RPM</th>
<th align="center">F: Actual yield%</th>
<th align="center">G: Predicted yield%</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">40</td>
<td align="center">10</td>
<td align="center">5</td>
<td align="center">700</td>
<td align="center">88.85</td>
<td align="center">88.85</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">400</td>
<td align="center">85</td>
<td align="center">84.94</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">40</td>
<td align="center">15</td>
<td align="center">5</td>
<td align="center">700</td>
<td align="center">84.8</td>
<td align="center">84.89</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">40</td>
<td align="center">10</td>
<td align="center">8</td>
<td align="center">700</td>
<td align="center">88.9</td>
<td align="center">88.98</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">25</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">85.4</td>
<td align="center">85.22</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">40</td>
<td align="center">15</td>
<td align="center">8</td>
<td align="center">700</td>
<td align="center">91.89</td>
<td align="center">91.96</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">3.5</td>
<td align="center">600</td>
<td align="center">85</td>
<td align="center">84.52</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">85</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">90.3</td>
<td align="center">89.96</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">87</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">10</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">87.29</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">11</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">87.7</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">12</td>
<td align="center">40</td>
<td align="center">10</td>
<td align="center">8</td>
<td align="center">500</td>
<td align="center">85</td>
<td align="center">84.69</td>
</tr>
<tr>
<td align="center">13</td>
<td align="center">70</td>
<td align="center">15</td>
<td align="center">5</td>
<td align="center">500</td>
<td align="center">86.2</td>
<td align="center">86.26</td>
</tr>
<tr>
<td align="center">14</td>
<td align="center">55</td>
<td align="center">17.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">88.77</td>
<td align="center">88.22</td>
</tr>
<tr>
<td align="center">15</td>
<td align="center">40</td>
<td align="center">15</td>
<td align="center">8</td>
<td align="center">500</td>
<td align="center">87</td>
<td align="center">87.2</td>
</tr>
<tr>
<td align="center">16</td>
<td align="center">55</td>
<td align="center">7.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">86.55</td>
<td align="center">86.97</td>
</tr>
<tr>
<td align="center">17</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">9.5</td>
<td align="center">600</td>
<td align="center">91.2</td>
<td align="center">90.66</td>
</tr>
<tr>
<td align="center">18</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">87</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">19</td>
<td align="center">70</td>
<td align="center">10</td>
<td align="center">8</td>
<td align="center">700</td>
<td align="center">87.77</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">20</td>
<td align="center">70</td>
<td align="center">15</td>
<td align="center">5</td>
<td align="center">700</td>
<td align="center">87</td>
<td align="center">87.27</td>
</tr>
<tr>
<td align="center">21</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">600</td>
<td align="center">87.1</td>
<td align="center">87.59</td>
</tr>
<tr>
<td align="center">22</td>
<td align="center">70</td>
<td align="center">10</td>
<td align="center">5</td>
<td align="center">700</td>
<td align="center">88.6</td>
<td align="center">88.53</td>
</tr>
<tr>
<td align="center">23</td>
<td align="center">70</td>
<td align="center">15</td>
<td align="center">8</td>
<td align="center">500</td>
<td align="center">92.3</td>
<td align="center">92.26</td>
</tr>
<tr>
<td align="center">24</td>
<td align="center">70</td>
<td align="center">15</td>
<td align="center">8</td>
<td align="center">700</td>
<td align="center">92.9</td>
<td align="center">93.27</td>
</tr>
<tr>
<td align="center">25</td>
<td align="center">70</td>
<td align="center">10</td>
<td align="center">8</td>
<td align="center">500</td>
<td align="center">87</td>
<td align="center">87.05</td>
</tr>
<tr>
<td align="center">26</td>
<td align="center">70</td>
<td align="center">10</td>
<td align="center">5</td>
<td align="center">500</td>
<td align="center">88.1</td>
<td align="center">87.99</td>
</tr>
<tr>
<td align="center">27</td>
<td align="center">40</td>
<td align="center">15</td>
<td align="center">5</td>
<td align="center">500</td>
<td align="center">80</td>
<td align="center">80.13</td>
</tr>
<tr>
<td align="center">28</td>
<td align="center">55</td>
<td align="center">12.5</td>
<td align="center">6.5</td>
<td align="center">800</td>
<td align="center">90.75</td>
<td align="center">90.24</td>
</tr>
<tr>
<td align="center">29</td>
<td align="center">40</td>
<td align="center">10</td>
<td align="center">5</td>
<td align="center">500</td>
<td align="center">84.8</td>
<td align="center">84.56</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec id="s3-3-1">
<title>3.3.1 Validity of the RSM model</title>
<p>ANOVA is a useful statistical tool for validating yields as represented in <xref ref-type="table" rid="T5">Table 5</xref>. The model is significant as the model&#x27;s F-value comes out as equal to 125.47. The <italic>p</italic>-value (0.0001) indicates that there is a chance of 0.01% that the F-value that is this much larger comes out because of noise. The &#x201c;Prob &#x3e; F&#x201d; outcomes smaller than 0.0500 indicate that this model is considered significant. For the current state, A, B, C, D, AB, AC, AD, and BC (terms) are considered significant.</p>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Results of ANOVA based on CCD.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Source</th>
<th rowspan="2" align="center">Sum of squares</th>
<th rowspan="2" align="center">Degree of freedom</th>
<th rowspan="2" align="center">Mean square</th>
<th rowspan="2" align="center">F-value</th>
<th align="center">
<italic>p</italic>-value</th>
<th align="left"/>
</tr>
<tr>
<th align="center">Prob &#x3e; F</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Model</td>
<td align="center">205.49</td>
<td align="center">10</td>
<td align="center">20.55</td>
<td align="center">125.47</td>
<td align="center">&#x3c;0.0001</td>
<td align="center">Significant</td>
</tr>
<tr>
<td align="left">A: Methanol/oil (vol%)</td>
<td align="center">33.68</td>
<td align="center">1</td>
<td align="center">33.68</td>
<td align="center">205.64</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">B: Catalyst concentration</td>
<td align="center">2.35</td>
<td align="center">1</td>
<td align="center">2.35</td>
<td align="center">14.35</td>
<td align="center">0.0013</td>
<td align="left"/>
</tr>
<tr>
<td align="left">C: Reaction time</td>
<td align="center">56.46</td>
<td align="center">1</td>
<td align="center">56.46</td>
<td align="center">344.73</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">D: Stirring speed</td>
<td align="center">42.16</td>
<td align="center">1</td>
<td align="center">42.16</td>
<td align="center">257.44</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AB</td>
<td align="center">7.28</td>
<td align="center">1</td>
<td align="center">7.28</td>
<td align="center">44.43</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AC</td>
<td align="center">1.14</td>
<td align="center">1</td>
<td align="center">1.14</td>
<td align="center">6.96</td>
<td align="center">0.0167</td>
<td align="left"/>
</tr>
<tr>
<td align="left">AD</td>
<td align="center">14.01</td>
<td align="center">1</td>
<td align="center">14.01</td>
<td align="center">85.52</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">BC</td>
<td align="center">48.20</td>
<td align="center">1</td>
<td align="center">48.20</td>
<td align="center">294.30</td>
<td align="center">&#x3c;0.0001</td>
<td align="left"/>
</tr>
<tr>
<td align="left">BD</td>
<td align="center">0.2186</td>
<td align="center">1</td>
<td align="center">0.2186</td>
<td align="center">1.33</td>
<td align="center">0.2631</td>
<td align="left"/>
</tr>
<tr>
<td align="left">CD</td>
<td align="center">6.250E&#x2212;06</td>
<td align="center">1</td>
<td align="center">6.250E&#x2212;06</td>
<td align="center">0.0000</td>
<td align="center">0.9951</td>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>Residual</bold>
</td>
<td align="center">2.95</td>
<td align="center">18</td>
<td align="center">0.1638</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Lack of fit</td>
<td align="center">2.60</td>
<td align="center">14</td>
<td align="center">0.1858</td>
<td align="center">2.15</td>
<td align="center">0.2404</td>
<td align="center">Not significant</td>
</tr>
<tr>
<td align="left">Pure error</td>
<td align="center">0.3465</td>
<td align="center">4</td>
<td align="center">0.0866</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">
<bold>Cor total</bold>
</td>
<td align="center">208.43</td>
<td align="center">28</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Standard deviation</td>
<td align="right">0.4047</td>
<td align="left"/>
<td align="right">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="right">0.9859</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">Mean</td>
<td align="right">87.59</td>
<td align="left"/>
<td align="right">Adj <italic>R</italic>
<sup>2</sup>
</td>
<td align="right">0.9780</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">C.V.%</td>
<td align="right">0.4620</td>
<td align="left"/>
<td align="right">Pred <italic>R</italic>
<sup>2</sup>
</td>
<td align="right">0.9707</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="right">Adeq Precision</td>
<td align="right">52.725</td>
<td align="left"/>
<td align="left"/>
</tr>
</tbody>
</table>
</table-wrap>
<p>
<italic>p</italic>-values higher than 0.1000 reveal that the model terms are not considered significant. The &#x201c;lack of fit&#x201d; F-value of 2.15 shows the non-significance of the lack of fit as compared to the pure error. A possibility of 24.04% occurs because this large a value of the &#x201c;lack of fit&#x201d; is due to noise. So, the non-significance of the &#x201c;lack of fit&#x201d; is better, and the model is fit. <xref ref-type="fig" rid="F5">Figure 5</xref> refers to the actual <italic>versus</italic> predicted yield in percentage.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Actual yield <italic>versus</italic> predicted yield for LSO biodiesel.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g005.tif"/>
</fig>
<p>The &#x201c;Pred <italic>R</italic>
<sup>2</sup>&#x201d; of 0.9707 is in practical arrangement with the &#x201c;Adj <italic>R</italic>
<sup>2</sup>&#x201d; value of 0.9780, which indicates that the difference is smaller than 0.2. The signal-to-noise ratio was calculated using &#x201c;Adeq Precision.&#x201d; The signal-to-noise ratio of 52.725 specifies a satisfactory signal, as it is appropriate above 4. The design space can be navigated by this model.</p>
</sec>
<sec id="s3-3-2">
<title>3.3.2 Effect of operating variables on the biodiesel yield</title>
<p>This section describes the impact of operating variables such as methanol/oil concentration, amount of catalyst utilized, reaction speed, and time for the reaction as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. <xref ref-type="fig" rid="F6">Figure 6A</xref> exhibits the combined impact of the methanol/oil volumetric ratio and catalyst content on the yield of biodiesel; the other two operating parameters&#x2014;time for reaction and reaction speed&#x2014;have been kept constant at 6.5&#xa0;min and 600 RPM, respectively. It can be noted from <xref ref-type="fig" rid="F6">Figure 6A</xref> that the yield increases with increasing methanol/oil concentration and decreases with increase in the quantity of the catalyst. Increasing the content of methanol would shift the reaction equilibrium in favor of biodiesel production (<xref ref-type="bibr" rid="B16">Encinar et al., 2012</xref>). The achievement of the transesterification reaction is hindered when methanol content is low. Whereas an extra content of methanol leads to elevated costs associated with the recovery of methanol. Furthermore, at higher methanol levels, the separation of glycerol from biodiesel becomes more confronting. However, elevating methanol levels beyond the optimal limits resulted in decreased concentrations of reactants and catalysts (<xref ref-type="bibr" rid="B65">Zhang et al., 2018</xref>), and the retrieval of the solvent proved to be challenging when employing higher alcohol-to-oil ratios (<xref ref-type="bibr" rid="B51">Sahabdheen and Arivarasu, 2020</xref>). A high catalyst concentration can cause over-esterification, where excessive amounts of the catalyst cause the creation of by-products and lower the overall reaction yield. Increasing the catalyst concentration after a specified limit may increase viscosity of the sourced biodiesel because of emulsification (<xref ref-type="bibr" rid="B47">Patil and Deng, 2009</xref>).</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>RSM graphs demonstrating the relationships and effects of operating variables: <bold>(A)</bold> catalyst concentration and methanol concentration, <bold>(B)</bold> reaction period and methanol concentration, <bold>(C)</bold> speed of stirring and methanol concentration, <bold>(D)</bold> reaction period and catalyst concentration, <bold>(E)</bold> speed of stirring and catalyst concentration, and <bold>(F)</bold> speed of stirring and reaction time on LSO biodiesel yield.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g006.tif"/>
</fig>
<p>The results of varying the methanol concentration and reaction time are displayed in <xref ref-type="fig" rid="F6">Figure 6B</xref>. The other two operation parameters, that is, the catalyst concentration of 12.5&#xa0;Wt% and the speed of 600 RPM, are kept constant. The yield is increased by increasing both dependent variables. The increased reaction yield is due to longer reaction times enabling complete conversion of reactants to products, and a higher methanol content provides more reactants to react. The lowest biodiesel efficiency was achieved initially, possibly resulting from factors like an inadequate supply of oil for the transesterification reaction and inadequate contact time between the reactants (<xref ref-type="bibr" rid="B21">Gupta et al., 2020</xref>). Nevertheless, prolonging the reaction time beyond the optimal duration brings down the biodiesel yield, as it prompts a reversal of the reaction and the formation of soap. Hence, an excessive reaction time acts as a limiting factor for biodiesel yield and has an adverse effect on the biodiesel manufacturing process (<xref ref-type="bibr" rid="B53">Tamjidi et al., 2021</xref>).</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6C</xref> illustrates the variation of two dependent variables&#x2014;the methanol-to-oil ratio and stirring speeds&#x2014;while the other two operating parameters&#x2014;reaction time (6.5&#xa0;min) and catalyst concentration (12.5&#xa0;Wt%)&#x2014;are kept constant. The yield significantly increases with increasing methanol/oil concentration and stirring speed. After reaching the optimal value of stirring speed, the yield starts decreasing. Improved mixing and mass transfer resulting from increased stirring speed contribute to better reaction kinetics and a greater yield. Conversely, the methyl ester yield declines beyond the optimal mixing speed value as the reaction reverses its nature once the reactants are depleted and products are produced, exerting control over the reaction (<xref ref-type="bibr" rid="B15">Elkelawy et al., 2019</xref>).</p>
<p>When the methanol/oil concentration is kept constant at 55 vol% and the stirring speed is set to 600 RPM, as depicted in <xref ref-type="fig" rid="F6">Figures 6A, D</xref>, an increase in the catalyst concentration and reaction time leads to an increase in the yield. The yield of the reaction is significantly impacted by the reaction time. However, reactant depletion, saturation, and kinetic changes can all occur as reaction time increases, lowering the yield beyond the optimal value.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6E</xref> illustrates the increase in yield as the catalyst concentration and speed of stirring are increased, while the methanol concentration and reaction duration remain constant. The increased reactant levels and improved mixing, which result in an increase in reaction kinetics, are the causes of this increment in yield.</p>
<p>Increasing the time of reaction and speed of stirring leads to an escalation in the yield, as shown in <xref ref-type="fig" rid="F6">Figure 6F</xref>, when the catalyst content of 12.5&#xa0;Wt% and the methanol-to-oil volumetric concentration (%V/V) of 55% are kept constant. The higher yields are produced when reactions last longer because more reactants are transformed into products. The development of by-products and a lower yield, however, might occur when the reaction time is too long for the optimal value (<xref ref-type="bibr" rid="B53">Tamjidi et al., 2021</xref>).</p>
</sec>
</sec>
<sec id="s3-4">
<title>3.4 Yield optimization using the ANN model</title>
<p>The ANN was also used to predict the results with the complete integration proposed by RSM. Three layers of neurons have been used in a feedforward backpropagation algorithm in this ANN technique. Input, hidden, and output layers are tansig, tansig, and purelin with 3, 10, and 1 neurons, respectively. When the MSE approaches 0.04761, the maximum yield obtained at this point is 92.4048%.</p>
<sec id="s3-4-1">
<title>3.4.1 ANN training</title>
<p>The feedforward ANN model has been employed for training in using the data given in <xref ref-type="table" rid="T4">Table 4</xref>. Weight values and bias were updated using the &#x201c;trainlm&#x201d; function. The epochs were made up to 1,000, and the performance parameter mean square error (MSE) was used.</p>
<p>The central hidden layer neurons have been changed until the MSE gets reduced to 0.04761. Then, the trained ANN was used to determine the yield % for optimized parameter combinations as proposed by RSM.</p>
</sec>
<sec id="s3-4-2">
<title>3.4.2 Artificial neural network simulation</title>
<p>Conclusively, the trained network forecasts the outcomes (i.e., % biodiesel yields). <xref ref-type="fig" rid="F7">Figure 7</xref> evidently expresses the results of the yield by both ANN and practical experimentation. Both are almost the same, making sure that the RSM was efficient.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Regression analysis of the ANN model.</p>
</caption>
<graphic xlink:href="fenrg-11-1339601-g007.tif"/>
</fig>
</sec>
</sec>
<sec id="s3-5">
<title>3.5 Statistical data analysis</title>
<p>The RSM and ANN performances have been shown in <xref ref-type="table" rid="T6">Table 6</xref> using statistical data analysis. The coefficient of determination, i.e., <italic>R</italic>
<sup>2</sup>, for both RSM and ANN models approaches 1, which indicates that the models are fit. The calculated MSE and RMSE values were greater for the RSM (0.10, 0.31) than were for the ANN (0.05, 0.21), respectively. The standard error of prediction for the RSM and ANN is 0.36 and 0.25, respectively. Considering the results of the statistical assessment, it has been determined that the ANN has more appropriate results than the RSM regarding prediction and accuracy. The significantly higher <italic>R</italic>
<sup>2</sup> value of 0.9969 and the notably lower RMSE value of 0.21 observed in the ANN model, as opposed to the RSM model with an <italic>R</italic>
<sup>2</sup> of 0.9951 and RMSE of 0.31, signify a stronger fit for the ANN than for the RSM model.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Statistical data analysis.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Statistical tools</th>
<th align="center">RSM</th>
<th align="center">ANN</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">
<italic>R</italic>
<sup>2</sup>
</td>
<td align="center">0.9951</td>
<td align="center">0.9969</td>
</tr>
<tr>
<td align="center">MSE</td>
<td align="center">0.10</td>
<td align="center">0.05</td>
</tr>
<tr>
<td align="center">RMSE</td>
<td align="center">0.31</td>
<td align="center">0.21</td>
</tr>
<tr>
<td align="center">SEP</td>
<td align="center">0.36</td>
<td align="center">0.25</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-6">
<title>3.6 Characterization of biodiesel</title>
<p>The physicochemical properties of LSO B100 (100% biodiesel) were evaluated, and their results were compared with another biodiesel (sourced from WCO) and diesel. The D6751 and EN 14214 standards have been used to validate the physicochemical properties in the acceptable ranges. The characterization of biodiesel also includes the measurement of the properties that include kinematic viscosity at 40&#xb0;C, density at 15&#xb0;C, cetane number, calorific value, flash point, oxidative stability, and the cold flow properties, i.e., cold filter plugging point (CFPP), cloud point (CP), and pour point (PP), as shown in <xref ref-type="table" rid="T7">Table 7</xref>. It was observed that these values are within the suggested standard ranges. Thus, the produced biodiesel can replace petroleum diesel.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Physicochemical properties of biodiesel produced from <italic>Litchi chinensis</italic> seed oil.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Properties</th>
<th align="center">Units</th>
<th align="center">Waste cooking oil biodiesel <xref ref-type="bibr" rid="B40">Milano et al. (2018)</xref>
</th>
<th align="center">Diesel <xref ref-type="bibr" rid="B43">Mujtaba et al. (2020)</xref>
</th>
<th align="center">LSO B100 (Author&#x2019;s)</th>
<th align="center">ASTM D6751</th>
<th align="center">EN 14214</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Density at 15&#xb0;C</td>
<td align="center">kg/m<sup>3</sup>
</td>
<td align="center">862.1</td>
<td align="center">839.4</td>
<td align="center">875</td>
<td align="center">870&#x2013;900</td>
<td align="center">860&#x2013;900</td>
</tr>
<tr>
<td align="center">Kinematic viscosity at 40&#xb0;C</td>
<td align="center">mm<sup>2</sup>/s</td>
<td align="center">5.01</td>
<td align="center">2.87</td>
<td align="center">4.4</td>
<td align="center">1.9&#x2013;6</td>
<td align="center">3.5&#x2013;5</td>
</tr>
<tr>
<td align="center">Cetane no.</td>
<td align="left"/>
<td align="center">61</td>
<td align="center">48.50</td>
<td align="center">53.2</td>
<td align="center">&#x3e;47</td>
<td align="center">&#x3e;51</td>
</tr>
<tr>
<td align="center">Acid value</td>
<td align="center">mg&#xa0;KOH/g</td>
<td align="center">0.13</td>
<td align="center">0.15</td>
<td align="center">0.25</td>
<td align="center">&#x3c;0.50</td>
<td align="center">0.50</td>
</tr>
<tr>
<td align="center">Calorific value</td>
<td align="center">MJ/kg</td>
<td align="center">38.76</td>
<td align="center">45.67</td>
<td align="center">38.8</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">Flash point</td>
<td align="center">&#xb0;C</td>
<td align="center">154</td>
<td align="center">78.50</td>
<td align="center">175</td>
<td align="center">&#x3e;130</td>
<td align="center">&#x3e;120</td>
</tr>
<tr>
<td align="center">Oxidative stability</td>
<td align="center">h</td>
<td align="center">4.61</td>
<td align="center">13.20</td>
<td align="center">6.1</td>
<td align="center">3&#xa0;h</td>
<td align="center">6&#xa0;h</td>
</tr>
<tr>
<td align="center">Cloud point</td>
<td align="center">&#xb0;C</td>
<td align="center">2</td>
<td align="center">2</td>
<td align="center">6.59</td>
<td align="center">&#x2212;3 to 12</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">Pour point</td>
<td align="center">&#xb0;C</td>
<td align="center">12</td>
<td align="center">2</td>
<td align="center">0.3</td>
<td align="center">&#x2212;15 to 16</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">Cold filter plugging point</td>
<td align="center">&#xb0;C</td>
<td align="center">7</td>
<td align="center">0</td>
<td align="center">&#x2212;2.34</td>
<td align="center">19 (max)</td>
<td align="center">&#x2014;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The optimized LSO B100 has a kinematic viscosity of 4.4&#xa0;mm<sup>2</sup>/s, which is lower than that of the biodiesel produced from the WCO but higher than that of diesel, and the density (875&#xa0;kg/m<sup>3</sup>) at 15&#xa0;&#xb0;C is higher than that for both WCO biodiesel and diesel but satisfies the ASTM and EN standards. So, the LSO B100 has promising lubricating characteristics. The LSO B100 has an acid value of 0.25&#xa0;mg KOH/g, which is within the range of the acceptable limit.</p>
<p>The LSO B100 has a calorific value of 38.80&#xa0;MJ/kg, which is less than that for diesel, which has 45.36&#xa0;MJ/kg. The flash point of the LSO B100 is 175&#xb0;C, and it is quite higher than that for diesel and WCO biodiesel but satisfies the ASTM and EN standards. The higher flash point for LSO B100 reduces the safety risks as the biodiesel gets exposed to an ignition source. The pour point, cloud point, and cold filter plugging point for LSO B100 are 0.3, 6.59, and &#x2212;2.34&#xb0;C, respectively, which indicates that the LSO B100 is fit for utilization in cold environmental areas. The oxidative stability of LSO B100 is 6.1&#xa0;h at 110&#xb0;C, which is higher than that for WCO biodiesel. The cetane no. of LSO B100 (53.2) satisfies the limits of both the standards.</p>
</sec>
<sec id="s3-7">
<title>3.7 Composition of biodiesel sourced from <italic>Litchi chinensis</italic> seed oil</title>
<p>The composition shows that the presence of unsaturated fatty acids is higher (73.72%) than that of saturated fatty acids (26.28%), which implies that the produced biodiesel will have good cold flow properties. <xref ref-type="table" rid="T8">Table 8</xref> shows the percentage (area %) contents of long-chain elements.</p>
<table-wrap id="T8" position="float">
<label>TABLE 8</label>
<caption>
<p>Fatty acid composition of <italic>Litchi chinensis</italic> seed oil biodiesel.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Peak No</th>
<th align="center">Compound</th>
<th align="center">Structure</th>
<th align="center">RT (min)</th>
<th align="center">Composition (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">Methyl tetradecanoate (myristic acid)</td>
<td align="center">C14:0</td>
<td align="center">15.466</td>
<td align="center">0.37</td>
</tr>
<tr>
<td align="left">2</td>
<td align="left">Hexadecanoic acid, methyl ester (palmitic acid)</td>
<td align="center">C16:0</td>
<td align="center">17.909</td>
<td align="center">22.02</td>
</tr>
<tr>
<td align="left">3</td>
<td align="left">Octadecadienoic acid, methyl ester (linoleic acid)</td>
<td align="center">C18:2</td>
<td align="center">20.243</td>
<td align="center">33.44</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">Octadecenoic acid (oleic acid)</td>
<td align="center">C18:1</td>
<td align="center">20.357</td>
<td align="center">40.24</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">Octadecanoic acid (stearic acid methyl ester)</td>
<td align="center">C18:0</td>
<td align="center">20.708</td>
<td align="center">3.19</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">Eicosanoic acid, methyl ester (arachidic acid)</td>
<td align="center">C20:0</td>
<td align="center">23.723</td>
<td align="center">0.70</td>
</tr>
<tr>
<td colspan="5" align="left">Saturated (%), &#x3d; 26.28</td>
</tr>
<tr>
<td colspan="5" align="left">Unsaturated (%) &#x3d; 73.72</td>
</tr>
<tr>
<td colspan="5" align="left">Total (%) &#x3d; 100</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The major content of the biodiesel is covered by oleic acid methyl ester (40.24%), followed by octadecanoic acid (stearic acid methyl ester, 33.44%). The larger quantity of unsaturated fatty acids shows that the <italic>Litchi chinensis</italic> seed oil biodiesel (B100) has good cold flow properties.</p>
</sec>
<sec id="s3-8">
<title>3.8 Comparison of energy consumption by microwave-assisted reaction and conventional reaction</title>
<p>The energy intake of the Dawlance DW-295 microwave-assisted reactor was noted for 100&#xa0;mL of the LSO mixture, with 2&#xa0;min of preheating, and with 6, 7, and 10&#xa0;min of reaction time. The energy consumed by the microwave was 100, 111, and 150&#xa0;kJ for the reaction times of 6, 7, and 10&#xa0;min, respectively. The 260-W reactor required 60&#xa0;min to preheat the 100&#xa0;mL of mixture to 65&#xb0;C; moreover, the reaction was complete in 20&#xa0;min. So, the conventional reactor consumes 1,248&#xa0;kJ of energy.</p>
<p>Because it has been observed that the time required for preheating in the case of the conventional process is substantially longer than that required for the microwave-assisted one, the power consumption is also higher in the case of the conventional method for biodiesel production. Therefore, it can be assumed that the microwave-assisted reaction for biodiesel synthesis is far better than the conventional method.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>The microwave-assisted, extracted KOH&#x2013;catalyzed transesterification reaction was implemented to produce biodiesel from <italic>Litchi chinensis</italic> seed oil. KOH, as a catalyst, was extracted from potato waste. The LSO has an FFA content of 2.5%, which was reduced to 0.504&#xa0;mg KOH/g after microwave-assisted transesterification. The yield optimization was carried out using two methods&#x2014;RSM and ANN. The maximum yields of biodiesel (B100) were predicted to be 93.27% with the RSM and 92.40% with the ANN, using the operating parameters of catalyst loading of 15% (W/W), a methanol concentration of 70% (%V/V), a stirring speed of 700 RPM, and a reaction speed of 8&#xa0;min. The practical biodiesel yield obtained was 92.90%. It has been observed that the characterization of LSO B100 biodiesel satisfies the fuel requirements specified in the standards&#x2014;ASTM D6751 and EN 14214. The GCMS analysis demonstrated the free fatty acid composition of LSO biodiesel (B100). The RSM and ANN were both identified as smarter tools with no broader iterations for solving differential equations. The results of both&#x2014;RSM and ANN&#x2014;are close to practical results, with inaccuracies of 0.003% and 0.005%, respectively. The developed models in this study are validated and can estimate the yield of biodiesel. The application of a microwave speeds up the transesterification process, which considerably decreases the time for completion of the reaction to 8&#xa0;min when compared to the conventional method, which has an approximate reaction time of 80&#xa0;min. The <italic>Litchi chinensis</italic> seed oil B100 biodiesel synthesized through microwave-assisted transesterification offers a more viable edge regarding time and consumption of energy.</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 authors.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>TA: Conceptualization, formal analysis, investigation, manuscript writing&#x2013;original draft, review, and editing. FN: Funding acquisition, investigation, project administration, supervision, and manuscript writing&#x2013;review and editing. SI: Conceptualization, data curation, formal analysis, funding acquisition, project administration, resources, and manuscript writing&#x2013;review and editing. MM: Data curation, methodology, resources, validation, visualization, and manuscript writing&#x2013;review and editing. YF: Funding acquisition, project administration, resources, and manuscript writing&#x2013;review and editing. MK: Investigation, resources, visualization, and manuscript writing&#x2013;review and editing. GU: Formal analysis, investigation, visualization, and manuscript writing&#x2013;review and editing. MF: writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The authors declare that financial support was received for the research, authorship, and/or publication of this article. The authors extend their appreciation to the Researchers Supporting Project number (RSPD2023R698), King Saud University, Riyadh, Saudi Arabia for funding this research work.</p>
</sec>
<ack>
<p>The authors extend their appreciation to the Researchers Supporting Project number (RSPD2023R698), King Saud University, Riyadh, Saudi Arabia for funding this research work. This research work is part of the project supported by Higher Education Commission Pakistan Project number (NRPU 20-12879/NRPU/R&#x0026;D/HEC/2020).</p>
</ack>
<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>
<p>The authors declare that they was an editorial board member of Frontiers at the time of submission. This had no impact on the peer review process and the final decision.</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, editors, and 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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