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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">najo</journal-id><journal-title-group><journal-title xml:lang="en">Nanosystems: Physics, Chemistry, Mathematics</journal-title><trans-title-group xml:lang="ru"><trans-title>Наносистемы: физика, химия, математика</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2220-8054</issn><issn pub-type="epub">2305-7971</issn><publisher><publisher-name>Университет ИТМО</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.17586/2220-8054-2021-12-6-808-817</article-id><article-id custom-type="elpub" pub-id-type="custom">najo-580</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>CHEMISTRY AND MATERIALS SCIENCE</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>ХИМИЯ И НАУКА О МАТЕРИАЛАХ</subject></subj-group></article-categories><title-group><article-title>Application of biosynthesized nano-catalyst for biodiesel synthesis and impact assessment of factors influencing the yield</article-title><trans-title-group xml:lang="ru"><trans-title>Применение биосинтетического нанокатализатора для синтеза биодизельного топлива и оценка влияния факторов, влияющих на выход</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Gandhi</surname><given-names>C. P.</given-names></name><name name-style="western" xml:lang="en"><surname>Gandhi</surname><given-names>C. P.</given-names></name></name-alternatives><bio xml:lang="en"><p>Mohali, Punjab, 140301.</p></bio><email xlink:type="simple">cchanderr@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Garg</surname><given-names>Rajni</given-names></name><name name-style="western" xml:lang="en"><surname>Garg</surname><given-names>Rajni</given-names></name></name-alternatives><bio xml:lang="en"><p>Mohali, Punjab, 140301.</p></bio><email xlink:type="simple">rajnigarg@science.org.in</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Eddy</surname><given-names>Nnabuk Okon</given-names></name><name name-style="western" xml:lang="en"><surname>Eddy</surname><given-names>Nnabuk Okon</given-names></name></name-alternatives><bio xml:lang="en"><p>Nsukka, Enugu State, 410001.</p></bio><email xlink:type="simple">okon.nnabuk@unn.edu.ng</email><xref ref-type="aff" rid="aff-3"/></contrib></contrib-group><aff xml:lang="en" id="aff-1"><institution>Department of Mathematics, Rayat Bahra University</institution><country>India</country></aff><aff xml:lang="en" id="aff-2"><institution>Department of Chemistry, Rayat Bahra University</institution><country>India</country></aff><aff xml:lang="en" id="aff-3"><institution>Department of Pure and Industrial Chemistry, University of Nigeria</institution><country>Nigeria</country></aff><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>07</day><month>08</month><year>2025</year></pub-date><volume>12</volume><issue>6</issue><fpage>808</fpage><lpage>817</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Gandhi C.P., Garg R., Eddy N.O., 2025</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="ru">Gandhi C.P., Garg R., Eddy N.O.</copyright-holder><copyright-holder xml:lang="en">Gandhi C.P., Garg R., Eddy N.O.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://nanojournal.ifmo.ru/jour/article/view/580">https://nanojournal.ifmo.ru/jour/article/view/580</self-uri><abstract><p>This study presents a green process to synthesize biodiesel using biosynthesized nano-catalyst and a novel methodology for analyzing the impact of influencing factors – methanol/oil ratio, the concentration of nano-catalyst, temperature, and time of reactions- on the yield of biodiesel obtained by heterogeneous nano-catalyst-based transesterification reaction. Nano-calcium oxide (nano-CaO) was obtained as a heterogeneous nano-catalyst using waste eggshells. Waste cooking oil was treated with methanol and nano-catalyst at varying methanol: oil ratios (4 – 14:1), nano-catalyst concentration (0.5 – 2 %), time of reaction (3 – 4.5 hrs), and temperature (50 – 65 ◦C). The superiority and effectiveness of the proposed transesterification indices were accomplished making use of Deluca and Termini fuzzy entropy weighted indexes to obtain optimal reaction conditions with 95.49 % biodiesel yield.</p></abstract><trans-abstract xml:lang="ru"><p>Представлен экологически чистый процесс синтеза биодизельного топлива с использованием биосинтетического нанокатализатора. Описана новая методология анализа факторов, влияющих на выход биодизельного топлива, получаемого гетерогенной реакцией переэтерификации на основе нанокатализатора – соотношения метанол/нефть, концентрации нанокатализатора, температуры и времени реакции. Наноразмерные частицы оксида кальция (нано-СаО) были получены в качестве гетерогенного нанокатализатора с использованием отходов яичной скорлупы. Отработанное кулинарное масло обрабатывали метанолом и нанокатализатором при различных соотношениях метанол:масло (4 – 14:1), концентрации нанокатализатора (0.5 – 2 %), времени реакции (3 – 4.5 часа) и температуре (50 – 65 °С). Превосходство и эффективность предложенных индексов переэтерификации были достигнуты с использованием нечетких энтропийно-взвешенных индексов Делука и Термини для получения оптимальных условий реакции с выходом биодизеля 95.49%.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>нанокатализатор</kwd><kwd>биодизельное топливо</kwd><kwd>переэтерификация</kwd><kwd>нечеткая энтропия</kwd><kwd>нейтрософическая энтропия</kwd></kwd-group><kwd-group xml:lang="en"><kwd>nano-catalyst</kwd><kwd>biodiesel</kwd><kwd>transesterification</kwd><kwd>fuzzy entropy</kwd><kwd>neutrosophic entropy</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Sodhi A.K., Tripathi S., Kundu K. Biodiesel production using waste cooking oil: a waste to energy conversion strategy. 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