<?xml version="1.0" encoding="ISO-8859-1"?><article 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">
<front>
<journal-meta>
<journal-id>0120-6230</journal-id>
<journal-title><![CDATA[Revista Facultad de Ingeniería Universidad de Antioquia]]></journal-title>
<abbrev-journal-title><![CDATA[Rev.fac.ing.univ. Antioquia]]></abbrev-journal-title>
<issn>0120-6230</issn>
<publisher>
<publisher-name><![CDATA[Facultad de Ingeniería, Universidad de Antioquia]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0120-62302016000200017</article-id>
<article-id pub-id-type="doi">10.17533/udea.redin.n79a17</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Optimization for producing biodiesel from ethanol and waste frying oil with a high concentration of ester]]></article-title>
<article-title xml:lang="es"><![CDATA[Optimización de la producción de biodiesel con etanol y aceite residual de freír con un alto contenido de éster]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Lobo]]></surname>
<given-names><![CDATA[Bruna Beatriz]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[da Costa]]></surname>
<given-names><![CDATA[Adriana Elaine]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Klimeck Gouvêa]]></surname>
<given-names><![CDATA[Carlos Alberto]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
<xref ref-type="aff" rid="A02"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Andreazza]]></surname>
<given-names><![CDATA[Janaina Karine]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Shamil Al-Rubaie]]></surname>
<given-names><![CDATA[Kassim]]></given-names>
</name>
<xref ref-type="aff" rid="A01"/>
</contrib>
</contrib-group>
<aff id="A01">
<institution><![CDATA[,Centro Universitário SOCIESC - UNISOCIESC  ]]></institution>
<addr-line><![CDATA[Joinville ]]></addr-line>
<country>Brazil</country>
</aff>
<aff id="A02">
<institution><![CDATA[,Centro Universitário SOCIESC - UNISOCIESC  ]]></institution>
<addr-line><![CDATA[ ]]></addr-line>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>06</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>06</month>
<year>2016</year>
</pub-date>
<numero>79</numero>
<fpage>185</fpage>
<lpage>191</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S0120-62302016000200017&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S0120-62302016000200017&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S0120-62302016000200017&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[The usual transesterification of waste frying oil with ethanol does not give final concentration of biodiesel above 96.5%. The aim of this paper is to optimize the reaction conditions using ethanedioic acid as an activator of the carbonyl glyceryl ester. With the aid of a factorial design, the effects of the molar ratio of ethanol and oil, as well as the concentration of the catalyst sodium hydroxide were evaluated. The oil used was dehydrated and filtered, and the reactants submitted to mechanical stirring for two hours at 70° C. The data have been modeled by applying the response surface methodology, for the optimal reaction conditions. As results, the presence of ethanedioic acid drives transesterification from waste frying oil giving biodiesel with ester content over 96.5%. The response surface methodology gave the optimum conditions for the production of ethyl esters at molar ratio ethanol:oil of 6:1 and sodium hydroxide content of 1% relative to the mass of oil.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Considerando que la transesterificación del aceite residual como resultado de la cocción de alimentos con la presencia de etanol no permite obtener biodiesel con concentración de etil éster superior a 96,5%, esta investigación muestra cómo se optimizaron las condiciones de la reacción con la adición de ácido oxálico. Con la ayuda de un diseño factorial fueron estudiados los efectos de la relación molar de etanol y aceite, así como la concentración del catalizador hidróxido de sodio en la presencia de ácido oxálico como activador del carbonilo en la fase aceite. El aceite usado se deshidrató y se filtró. La reacción fue realizada mediante la agitación mecánica durante un período de dos horas a 70° C. Los datos fueron modelados mediante la aplicación de la metodología de superficie de respuesta, encontrando las condiciones óptimas de la reacción. El camino propuesto demostró ser factible para la producción de biodiesel a partir de etanol y aceite residual con contenido de éster dentro de la concentración especificada por EN 14103 (superior a 96,5%). La metodología de superficie de respuesta mostró las condiciones ideales con la relación molar etanol:aceite de 6:1 y contenido de hidróxido de sodio de 1% respecto a la masa del aceite.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Transesterification]]></kwd>
<kwd lng="en"><![CDATA[recycling waste frying oils]]></kwd>
<kwd lng="en"><![CDATA[response surface methodology]]></kwd>
<kwd lng="es"><![CDATA[Transesterificación]]></kwd>
<kwd lng="es"><![CDATA[reciclaje de aceite residual de alimentos fritos]]></kwd>
<kwd lng="es"><![CDATA[metodología de superficie de respuesta]]></kwd>
</kwd-group>
</article-meta>
</front><body><![CDATA[  <font face= "Verdana" size="2">     <p align="right"><b>ART&Iacute;CULO ORIGINAL</b></p>     <p align="right">DOI: <a href="http://dx.doi.org/10.17533/udea.redin.n79a17">10.17533/udea.redin.n79a17</a></p>     <p align="right">&nbsp;</p>     <p align="center"><font size="4"><b>Optimization for producing biodiesel from ethanol and waste frying oil with a high concentration of ester</b></font></p>     <p align="center">&nbsp;</p>     <p align="center"><font size="3"><b>Optimizaci&oacute;n de la producci&oacute;n de biodiesel con etanol y aceite residual de fre&iacute;r con un alto contenido de &eacute;ster</b></font></p>     <p align="center">&nbsp;</p>     <p align="center">&nbsp;</p>     <p><b><i>Bruna Beatriz Lobo, Adriana Elaine da Costa, Carlos   Alberto Klimeck Gouv&ecirc;a*, Janaina Karine Andreazza, Kassim Shamil Al-Rubaie</i></b></p>       ]]></body>
<body><![CDATA[<p>Centro Universit&aacute;rio SOCIESC   - UNISOCIESC. Campus Boa Vista, Rua Albano   Schmidt, 3333. CEP: 89206-001. Joinville,   Brazil. </p>        <p>* Corresponding author: Carlos Alberto Klimeck Gouv&ecirc;a, e-mail: <a href="mailto:: gouvea@sociesc.org.br">gouvea@sociesc.org.br</a></p>        <p>DOI: 10.17533/udea.redin.n79a17</p>         <p>ISSN 0120-6230</p>     <p>e-ISSN 2422-2844 </p>     <p>&nbsp;</p>          <p align="center">(Received July 03, 2015; accepted March 03, 2016)</p>     <p align="center">&nbsp;</p>     <p align="center">&nbsp;</p>   <hr noshade size="1">     <p><b><font size="3">ABSTRACT</font></b></p>      ]]></body>
<body><![CDATA[<p>The usual transesterification   of waste frying oil with ethanol does not give final concentration of biodiesel   above 96.5%. The aim of this paper is to optimize the reaction conditions using ethanedioic acid as an activator of the carbonyl glyceryl ester. With   the aid of a factorial design, the effects of the molar ratio of ethanol and   oil, as well as the concentration of the catalyst sodium hydroxide were   evaluated. The oil used was dehydrated and filtered, and the reactants   submitted to mechanical stirring for two hours at 70&deg; C. The data have been modeled   by applying the response surface methodology, for the optimal reaction   conditions. As results, the presence of ethanedioic acid drives transesterification from waste   frying oil giving biodiesel with ester content over 96.5%. The response surface   methodology gave the optimum conditions for the production of ethyl esters at   molar ratio ethanol:oil of 6:1   and sodium hydroxide content of 1% relative to the mass of oil.</p>       <p><i>Keywords:</i> Transesterification, recycling   waste frying oils, response surface methodology</p>   <hr noshade size="1">     <p><font size="3"><b>RESUMEN</b></font></p>      <p>Considerando que la transesterificaci&oacute;n del aceite residual como resultado de la cocci&oacute;n de alimentos con la presencia de etanol no permite obtener biodiesel con concentraci&oacute;n de etil &eacute;ster superior a 96,5%, esta investigaci&oacute;n muestra c&oacute;mo se optimizaron las condiciones de la reacci&oacute;n con la adici&oacute;n de &aacute;cido ox&aacute;lico. Con la ayuda de un dise&ntilde;o&nbsp;factorial&nbsp;fueron estudiados los efectos de la relaci&oacute;n molar de etanol y aceite, as&iacute; como la concentraci&oacute;n del catalizador hidr&oacute;xido de sodio en la presencia de &aacute;cido ox&aacute;lico como activador del carbonilo en la fase aceite. El aceite usado se deshidrat&oacute; y se filtr&oacute;. La reacci&oacute;n fue realizada mediante la agitaci&oacute;n mec&aacute;nica durante un per&iacute;odo de dos horas a 70&deg; C. Los datos fueron modelados mediante la aplicaci&oacute;n de la metodolog&iacute;a de superficie de respuesta, encontrando las condiciones &oacute;ptimas de la reacci&oacute;n. El camino propuesto demostr&oacute; ser factible para la producci&oacute;n de biodiesel a partir de etanol y aceite residual con contenido de &eacute;ster dentro de la concentraci&oacute;n especificada por EN 14103 (superior a 96,5%). La metodolog&iacute;a de superficie de respuesta mostr&oacute; las condiciones ideales con la relaci&oacute;n molar etanol:aceite de 6:1 y contenido de hidr&oacute;xido de sodio de 1% respecto a la masa del aceite. </p>       <p><i>Palabras clave:</i> Transesterificaci&oacute;n, reciclaje de aceite residual de alimentos fritos, metodolog&iacute;a de superficie de respuesta </p>    <hr noshade size="1"> <font size="3">    <p><b>1. Introduction</b></p></font>      <p>The   utilization of waste frying oil (WFO) for producing biodiesel is advantageous   from the environmental and economic points of view &#91;1-6&#93;, considering that this   source of raw material is less expensive, and its final disposition, when   improper, constitutes an environmental problem. Regarding different types of   alcohol, methanol is widely employed for this purpose, as it is more reactive, but   it is toxic. Ethanol displays such advantages as produced from renewable   sources and displays a lower degree of toxicity &#91;7&#93;, and is a source of income   for smallfarmers. However, it needs to be emphasized   that ethanol is produced by a fermentation process as it requires the removal   of water &#91;8&#93;. </p>     <p>The   transesterification of WFO is more difficult due to the lower degree of   reactivity on account of its characteristics of residual acidity, humidity   concentration, etc. This is the reason why trials with biodiesel with waste   frying oil are normally, conducted by methanol, since ethanol is less reactive   to alkali in the formation of alkoxide and also   because ethoxide is a Lewis base weaker than metoxide &#91;9&#93;. An excess of alcohol is used to increase the   yields of the alkyl ester, and use of ethanol as a raw material complicates the   separation of glycerol from the reaction medium as its solubility is greater   than methanol &#91;10&#93;. </p>     <p>There   are very detailed reviews showing the art standard for WFO transesterification,   making clear the necessity of a methodology to drive the final methyl or ethyl   ester content above 96.5% &#91;11-18&#93; and they confirm ester concentrations lower   than 96.5% of biodiesel from waste frying oil with ethanol, the minimum   concentration as established by EN 14103 &#91;19&#93;. </p>     <p>Thus,   it is important to carry out studies on catalysts or reagents for making it   possible for WFO transesterification to reach a minimum ethyl ester   concentration of 96.5%. It is possible to   activate the glyceride carbonyl, in the Fischer Esterification model, through   the addition of a strong acid. Considering   the corrosiveness of strong mineral acids, it is seen that trials with strong   organic acids can form a carbocation in the carbonyl of ester capable of   facilitating the reaction of the attack by the ethoxide   ion &#91;20&#93;. </p>     ]]></body>
<body><![CDATA[<p>An   earlier study of WFO transesterification applied 1.5 wt% of H<sub>2</sub>SO<sub>4</sub> in a 1<sup>st</sup> step   reaction to increase the ethyl ester content, but the results did not reach the   EN 14103 specification &#91;21&#93;. </p>     <p>Preliminary trials on the authors laboratory was conducted seeking for strong organic   acids soluble in WFO. The addition of ethanedioic   acid (oxalic acid) in the oily phase, in a concentration of 2% ratio of the oil   mass, before the addition of ethanol and catalyst, helped the transesterification   reaction to occur. </p>     <p>The   objective of this study is to transesterify waste   frying oil with ethanol to obtain an ester concentration above 96.5% and to   optimize the mass ratio of sodium hydroxide and ethanol with oil carbonyl   activated with 2% of ethanedioic acid. As   an experimental basis, the alcohol/referential oil molar ratio will be 6:1 and,   for the base, it will be 1% of the oil mass &#91;21-31&#93;. The experiments   were performed according to factorial experimental design and the optimization   of parameters using the surface response methodology,   which is widely used in chemical processes, including biodiesel production &#91;19, 25, 26, 29-31&#93;. The evaluated results are restricted to the ethyl ester concentration. However,   it is not the object of this discussion, at the moment, to evaluate other   parameters as established by EN 14214. </p>     &nbsp;&nbsp;&nbsp; <font size="3"><b>    <p> 2. Materials and methods</p></b></font>     <p>The   production of biodiesel was performed in six steps: drying the WFO, production   of alkoxide, activation of the used oil by the   addition of ethanedioic acid, transesterification,   extraction of the non-reacted alcohol, and the separation of glycerin. <a href="#Figura1">Figure 1</a> presents the flowchart   of biodiesel performed process. </p>     <p align="center"><a name="Figura1"></a><img src="img/revistas/rfiua/n79/n79a17i01.jpg"></p>     <p><b>2.1. Preparation of the used oil</b></p>     <p>The WFO came from the   university restaurant, and it is soybean oil. It was dried with magnesium   sulfate anhydrous (+/- 1 g/380g of oil) (PA, VETEC) for all the tests, followed   by vacuum filtration, on a paper filter with a porosity of 6.0 m. The residual acidity was equal to 1.98   mg of KOH/g (EN 14104). It was added 2 % (in relation to the oil mass) of ethanedioic acid (7.6 g) to the oil heated at 70&deg; C and agitated for   15 min for a complete dissolution and the expected protonation of the ester   carbonyls. </p>     <p><b>2.2. Alkoxide   preparation </b></p>     <p>For   the sodium ethoxide preparation, anhydrous ethanol   (commercial grade, VETEC) and NaOH (PA, VETEC) were used. The mas of sodium   hydroxide was 1% in relation to the oil mass, with variation according to   factorial design. The ethanol mass variations were based on the 6:1 molar ratio,   considering the soybean oil molar mass equal to 874.6 g/mol &#91;19, 24, 31&#93;, with variations according to factorial design. The oil mass (380 g) employed in the tests   was the same for all the experiments. </p>     ]]></body>
<body><![CDATA[<p><b>2.3. Transesterification</b></p>     <p>The   transesterification reaction was conducted by the addition of alcohol heated to   60&deg; C over the oil in a temperature of 70&deg; C, to   avoid reducing the temperature. The reaction was agitated by the blade agitator   set at a constant speed throughout the experiment   (300 rpm) for 120 minutes. In order to guarantee greater thermal   balance, the system was mounted in a 1.5 liter container of water bath at 70&deg;   C. The reaction was conducted at 70&deg; C because studies have proven that higher   temperatures favor saponification &#91;23, 29&#93;. </p>     <p><b>2.4. Extraction of Non-Reacted Ethanol   and Separation of Glycerin </b></p>     <p>After   the reaction is finished, the mixture was placed in a rotating evaporator to   extract the non-reacted ethanol (excessive stoichiometric) and then, the   mixture was placed in a separation funnel for removing the glycerin phase. The   collected biodiesel underwent washing in deionized water (1:1), followed by   analysis. </p>     <p><b>2.5.   Analysis</b></p>     <p>The   ethyl esters obtained from the transesterification reaction were analyzed by   gas chromatography by the EN-14103:2003 method (Brazilian Standard for ethyl ester ABNT NBR   15342), using an equipment Varian   3400 CX instrument equipped with a capillary injection system RTX-5MS, column   (15 m &times; 0.25 mm), coated with a 0.25 &#956;m film, with a split ratio of 100:1 and a sample size   of 1 &#956;L.   The injector temperature was 230 &deg;C, the oven temperature was programmed from   50 &deg;C to 250 &deg;C, and the detector temperature was 200 &deg;C. </p>     <p><b>2.6. Data treatment</b></p>     <p>The data have been treated using Statistica software program version 10.0. The obtained data from the reaction yield   was submitted to variance analysis (ANOVA) by adjusted model obtained   for ethyl esters production. The response   variable (%) was fitted with a full quadratic model in order to correlate the %   to the operating variables. The form of the full quadratic model as a   function of the more significant variables is shown in Eq. (1). </p>     <p><img src="img/revistas/rfiua/n79/n79a17e01.jpg"></p>     <p>where, y: ester concentration;   x<sub>1</sub>: codified ethanol mass; x<sub>2</sub>: codified NaOH mass; a<sub>0, </sub>a<sub>1, </sub>a<sub>2, </sub>a<sub>3, </sub>a<sub>4, </sub>a<sub>5: </sub>model coefficients.<sub> </sub> </p>     ]]></body>
<body><![CDATA[<p>In the experimental   condition of highest concentration of ethyl ester was obtained a reaction without   addition of oxalic acid in the oil phase was performed (experiment 12). </p>     &nbsp;&nbsp;&nbsp; <font size="3"><b>    <p> 3. Results and discussion</p></b></font>     <p><a href="#Tabla1">Table   1</a> shows the results related to the variations of sodium hydroxide (%) and   ethanol (molar ratio) informing the concentrations (%) of esters produced   (biodiesel). </p>     <p align="center"><a name="Tabla1"></a><img src="img/revistas/rfiua/n79/n79a17t01.jpg"></p>     <p>The   results from the trials 5, 6, and 7 (the triplicate point) showed a product   with an ethyl ester concentration in conformity to the specification required   by EN 14103, which is above 96.5%. Trial 9 showed the formation of emulsion.   The ester concentration with the absence of the acidic activator (trial 12) was   quite similar to the results found in literature &#91;23&#93;.</p>       <p>The obtained results generated a quadratic convex surface based on the mass variations of NaOH and ethanol with the localization of points relative to the ester concentrations (<a href="#Figura2">Figure 2</a>).</p>     <p align="center"><a name="Figura2"></a><img src="img/revistas/rfiua/n79/n79a17i02.jpg"></p>     <p>The   best experimental condition was confirmed when using 120g of ethanol and 3.8 g of   NaOH, resulting in an ester concentration of 97.2%. This was in the alcohol/oil   molar ratio of 6:1 as well as the base/oil percentage of 1% in relation to the oil,   equivalent to the transesterification constants mentioned in literature for   virgin oil &#91;21, 23, 25, 26&#93;. </p>     <p>Comparing   the results to the similar studies &#91;1, 2&#93;, even in methyl transesterification, the   same mass relation of NaOH and oil, as well as the molar ratio alcohol: oil   were found to be ideal.</p>     <p>The   reaction in the tested concentration, temperature, and pressure conditions, but   in the absence of oxalic acid, generates only 64.3% of biodiesel. Therefore,   the new fact is the use of oxalic acid as the carbolic activator, proving that   its absence for used oil transesterification, in the stoichiometric ratio   employed, did not produce adequate amount of ethyl ester content.</p>     ]]></body>
<body><![CDATA[<p>Sodium   or potassium hydroxides are traditionally used as reaction catalysts, producing   methoxide or ethoxide, and   as they are catalysts, the base is always regenerated at the end of the   reaction. Therefore, in the reaction conducted here, the generation of anion   oxalate occurs, which could react with the ionized metal, forming corresponding   salts. Thus, due to the consumption of the base catalyst, sodium hydroxide and   oxalic acid must be considered as reagents. </p>     <p>To   understand the role of ethanedioic acid in the reactions,   some hypotheses are presented. The hydrogen ion derived from the strong acid   makes a link with the carbonyl oxygen Eq. (2) in a Fischer Esterification model   &#91;20&#93;. The electrons &#61552; permits the positive charge drives to the carbonyl   carbon Eq. (3). The alkoxide attacks the carbonyl   carbon easily Eq. (4), followed by the formation of the respective ester Eq. (5). </p>     <p><img src="img/revistas/rfiua/n79/n79a17e02.jpg"></p>     <p><img src="img/revistas/rfiua/n79/n79a17e03.jpg"></p>     <p><img src="img/revistas/rfiua/n79/n79a17e04.jpg"></p>     <p><img src="img/revistas/rfiua/n79/n79a17e05.jpg"></p>     <p>In   <a href="#Figura3">Figure 3</a>, a comparison between the observed and predicted values from the ANOVA   model is presented, whereas it was possible to verify if there is an adjustment   between the predicted model and the obtained results, as being small   variations. </p>       <p align="center"><a name="Figura3"></a><img src="img/revistas/rfiua/n79/n79a17i03.jpg"></p>       <p>Figure 3 confirms the predicted   model, similar to the results found in literature for oil esterification of coconut   oil with methanol &#91;29&#93;. Applying the variance   analysis (ANOVA) in star-like design through equations (2) and (3), it   is possible to find the ''p'' significance levels for 95% confidence (<a href="#Tabla2">Table 2</a>). </p>       <p align="center"><a name="Tabla2"></a><img src="img/revistas/rfiua/n79/n79a17t02.jpg"></p>     ]]></body>
<body><![CDATA[<p>The Eq. (6) shows adjusted model obtained   for ethyl esters production, as a function of the most significant variables.</p>     <p><img src="img/revistas/rfiua/n79/n79a17e06.jpg"></p>     <p>Based on the data in Table 3,   the quadratic sum of the wastes is small when compared to the regression on the   percentage of explained variance as 96.49%, which is high and sufficiently   close to the maximum explained variance as 99.98%. The results of this study   explained the variance of 96.4% between the models, as quite satisfactory for variances   from the empirical equation &#91;29-31&#93;. </p>     <p>The obtained statistical   indexes through star-like design, applied to equation (1), displayed optimal   conditions on the evaluated parameters for the production of biodiesel, as   presented in <a href="#Tabla3">Table 3</a>. </p>       <p align="center"><a name="Tabla3"></a><img src="img/revistas/rfiua/n79/n79a17t03.jpg"></p>     <p>Based on Table 3, the   refinement of the quantities of ethanol and sodium hydroxide vary very little   as compared to the concentrations employed in the experiment, which are   compliant to what has been defined by EN 14103. </p>     &nbsp;&nbsp;&nbsp; <font size="3"><b>    <p>4. Conclusions</p></b></font>     <p>Waste   frying oil (WFO) reacts with sodium etoxide, in the condition of a 1% base and   the molar ratio 6:1 of ethanol and oil at 70&deg; C for two hours, but it does not give   ethyl ester content above 96,5%. However, WFO with the addition of oxalic acid   (2%) reacts with sodium etoxide forming biodiesel above 96,5%, minimum   specified by EN 14103. It is possible to atribute this to the ester carbonil   activation by hydrogen ions, according to the Fischer Esterification model. The   obtained results show that the significance level is 10<sup>-3</sup> and the   explained variance percentage is 96.49%, very near to 99.98%, which is the maximum explained variance. As   these results are close to the predicted values, it is possible to confirm that   the model was compliant to the concentrations values defined as ideal. The obtained statistical levels by   equation (2) present values for the mass ratio that proposes to raise values   that are extremely close to the experimental values. Based on the performed   trials, it has been confirmed that it is possible to produce biodiesel from   ethanol and WFO complying with the EN 14103, when 2% of oxalic acid is added,   for reaction is conducted at 70&deg; C for 2 hrs and 1% of sodium hydroxide. </p>     &nbsp;&nbsp;&nbsp; <font size="3"><b>    <p> 5. References</p></b></font>     <!-- ref --><p> 1.      Y. Zhang, M. Dub&eacute;, D. Mclean and M. Kates, ''Biodiesel production from   waste cooking oil: 2. 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