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<article article-type="research-article" dtd-version="3.0" xml:lang="en" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">
	<front>
		<journal-meta>
			<journal-id journal-id-type="publisher-id">GYA</journal-id>
			<journal-title-group>
				<journal-title>Grasas y Aceites</journal-title>
			</journal-title-group>
			<issn pub-type="epub">0017-3495</issn>
			<publisher>
				<publisher-name>Consejo Superior de Investigaciones Cientificas</publisher-name>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="publisher-id">GYA2013116_e115-0496151</article-id>
			<article-id pub-id-type="doi">10.3989/gya.0496151</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Articles</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Conversion of <italic>Oleum papaveris seminis</italic> oil into methyl esters via esterification process: Optimization and kinetic study</article-title>
				<trans-title-group xml:lang="es">
					<trans-title>Conversi&#x00F3;n de <italic>Oleum papaveris seminis</italic> en &#x00E9;steres met&#x00ED;licos mediante un proceso de esterificaci&#x00F3;n: Optimizaci&#x00F3;n y estudio cin&#x00E9;tico</trans-title>
				</trans-title-group>
				<alt-title alt-title-type="running-head">Conversion of <italic>Oleum papaveris seminis</italic> oil into methyl esters via esterification process: Optimization and kinetic study</alt-title>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author">
					<name>
						<surname>Syam</surname>
						<given-names>A.M.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
					<xref ref-type="aff" rid="AF0002">b</xref>
				</contrib>
				<contrib contrib-type="author" corresp="yes">
					<name>
						<surname>Rashid</surname>
						<given-names>U.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
					<xref ref-type="aff" rid="AF0003">c</xref>
					<xref ref-type="corresp" rid="cor1">&#x002A;</xref>
				</contrib>
				<contrib contrib-type="author" corresp="yes">
					<name>
						<surname>Yunus</surname>
						<given-names>R.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
					<xref ref-type="aff" rid="AF0004">d</xref>
					<xref ref-type="corresp" rid="cor1">&#x002A;</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Hamid</surname>
						<given-names>H.A.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Al-Resayes</surname>
						<given-names>S.I.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0003">c</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Nehdi</surname>
						<given-names>I.A.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0003">c</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Al-Muhtaseb</surname>
						<given-names>A.H.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0005">e</xref>
				</contrib>
			</contrib-group>
			<aff id="AF0001">
				<label>a</label>Institute of Advanced Technology, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia</aff>
			<aff id="AF0002">
				<label>b</label>Department of Chemical Engineering, University of Malikussaleh 24351, Lhokseumawe, Indonesia</aff>
			<aff id="AF0003">
				<label>c</label>Chemistry Department, College of Science, King Saud University, Riyadh 1145, Saudi Arabia</aff>
			<aff id="AF0004">
				<label>d</label>Department of Chemical and Environmental Engineering, Faculty of Engineering, Universiti Putra Malaysia, 43400 UPM Serdang, Selangor, Malaysia</aff>
			<aff id="AF0005">
				<label>e</label>Petroleum and Chemical Engineering Department, Faculty of Engineering, Sultan Qaboos University, Muscat 123, Oman</aff>
			<author-notes>
				<corresp id="cor1"><label>&#x002A;</label>Corresponding authors: <email xlink:href="umer.rashid@yahoo.com">umer.rashid@yahoo.com</email>; <email xlink:href="robiah@upm.edu.my">robiah@upm.edu.my</email>
				</corresp>
			</author-notes>
			<pub-date pub-type="epub">
				<day>31</day>
				<month>03</month>
				<year>2016</year>
			</pub-date>
			<pub-date pub-type="collection">
				<year>2016</year>
			</pub-date>
			<volume>67</volume>
			<issue>1</issue>
			<elocation-id content-type="doi">10.3989/gya.0496151</elocation-id>
			<history>
				<date date-type="received">
					<day>17</day>
					<month>04</month>
					<year>2015</year>
				</date>
				<date date-type="accepted">
					<day>20</day>
					<month>08</month>
					<year>2015</year>
				</date>
			</history>
			<permissions>
				<copyright-statement>&#x00A9; 2016 CSIC</copyright-statement>
				<copyright-year>2016</copyright-year>
				<license license-type="open-access" xlink:href="http://creativecommons.org/licenses/by-nc/3.0/">
					<license-p>This is an open-access article distributed under the terms of the Creative Commons Attribution-Non Commercial (by-nc) Spain 3.0 License.</license-p>
				</license>
			</permissions>
			<abstract>
				<title>SUMMARY</title>
				<p>This paper presents an acid pre-treatment process and a kinetic study for the esterification reaction of <italic>Oleum papaveris seminis</italic> oil with methanol in the presence of amberlite 120 as a solid catalyst to convert the oil into methyl esters. Response surface methodology (RSM) was applied to optimize the reaction parameters, <italic>i.e</italic>. reaction time, percentage of the catalyst and volume ratio of methanol to oil. The results revealed that 0.87% w/w of catalyst concentration and 44.70% v/v of methanol to oil ratio provided final free fatty acid (FFA) contents of 0.60% w/w at 102.40 min of reaction time. It proved that the contribution of Amberlite 120 in the esterification of FFA was highly significant. The kinetics of the esterification in <italic>Oleum papaveris seminis</italic> oil with methanol in the presence of the amberlite 120 catalyst were also investigated to establish the reaction rate constant (<italic>k</italic>), reaction order, and activation energy. The study was performed under the optimized parameters at three reaction temperatures (50, 55, and 60 &#x00B0;C). The value of <italic>k</italic> was in the range of 0.013 to 0.027 min<sup>&#x2212;1</sup>. The first-order kinetics&#x2019; model was suitable for this irreversible FFA esterification with the activation energy of about 60.9 KJ&#x00B7;mol<sup>&#x2212;1</sup>.</p>
				</abstract>
				<trans-abstract xml:lang="es">
				<title>RESUMEN</title>
				<p><bold><italic>Conversi&#x00F3;n de</italic> Oleum papaveris seminis <italic>en &#x00E9;steres met&#x00ED;licos mediante un proceso de esterificaci&#x00F3;n: Optimizaci&#x00F3;n y estudio cin&#x00E9;tico</italic></bold>. En este art&#x00ED;culo se presenta un proceso de pre-tratamiento con &#x00E1;cido, y un estudio cin&#x00E9;tico de la reacci&#x00F3;n de esterificaci&#x00F3;n. Se utiliza <italic>Oleum papaveris seminis</italic> con metanol en presencia de Amberlite 120 como catalizador s&#x00F3;lido para la formaci&#x00F3;n de los &#x00E9;steres met&#x00ED;licos. Se aplic&#x00F3; una metodolog&#x00ED;a de superficie de respuesta (RSM) para optimizar los par&#x00E1;metros de la reacci&#x00F3;n; es decir, tiempo de reacci&#x00F3;n, porcentaje de la relaci&#x00F3;n de catalizador y volumen de metanol - aceite. Los resultados mostraron que el 0,87% w/w de la concentraci&#x00F3;n de catalizador y 44,70% v/v de metanol en relaci&#x00F3;n al aceite dan lugar a un contenido final de &#x00E1;cidos grasos libres (FFA) de 0,60% w/w en 102,40 min de tiempo de reacci&#x00F3;n. Se demostr&#x00F3; que la contribuci&#x00F3;n de Amberlite 120 en la esterificaci&#x00F3;n de los FFA fue altamente significativa. La cin&#x00E9;tica de la esterificaci&#x00F3;n del <italic>Oleum papaveris Seminis</italic> con metanol en presencia del catalizador Amberlite 120 tambi&#x00E9;n se investig&#x00F3; para establecer la constante de velocidad de reacci&#x00F3;n (k), orden de la reacci&#x00F3;n, y la energ&#x00ED;a de activaci&#x00F3;n. El estudio se realiz&#x00F3; bajo los par&#x00E1;metros optimizados a tres temperaturas de reacci&#x00F3;n (50, 55, y 60 &#x00B0;C). El valor de la constante k fu&#x00E9; del rango de 0.013 a 0,027 min<sup>&#x2212;1</sup>. El modelo de cin&#x00E9;tica de primer orden fue el adecuado para esta esterificaci&#x00F3;n FFA irreversible con una energ&#x00ED;a de activaci&#x00F3;n de aproximadamente 60,9 KJ mol<sup>&#x2212;1</sup>.</p>
				</trans-abstract>
			<kwd-group xml:lang="en">
			<title>KEYWORDS</title>
				<kwd>Amberlite 120</kwd>
				<kwd>Esterification</kwd>
				<kwd>Kinetics</kwd>
				<kwd>
					<italic>Oleum Papaveris Seminis</italic> Oil</kwd>
				<kwd>Response Surface Methodology</kwd>
				</kwd-group>
				<kwd-group xml:lang="es">
				<title>PALABRAS CLAVE</title>
				<kwd>Amberlite 120</kwd>
				<kwd>Cin&#x00E9;tica</kwd>
				<kwd>Esterificaci&#x00F3;n</kwd>
				<kwd>Metodolog&#x00ED;a de superficie respuesta</kwd>
				<kwd>
					<italic>Oleum papaveris seminis</italic>
				</kwd>
			</kwd-group>
		</article-meta>
	</front>
	<body>
		<sec id="S0001" sec-type="intro">
			<title>1. INTRODUCTION</title>
			<p>The shortage of petroleum reserves and other environmental issues has encouraged governments and researchers to look for alternative sources of fuel. Vegetable oil, animal fat and waste oil have been investigated as the feedstock for biodiesel. Most research findings have proved that biodiesel is a good substitute for petroleum diesel in compression ignition engines since it fulfils the international standards for automotive use (Ma and Hanna, <xref ref-type="bibr" rid="CIT0013">1999</xref>). Unfortunately, the growth of the biofuel industry has faded due to economic crises, which have culminated in significant decreases in fossil fuel prices (Mohr <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0015">2015</xref>). Moreover, it has been the reverse for prices of food crops especially soy and corn, which are the major contributors to biodiesel production. Their prices have increased (Radijiyev <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0021">2015</xref>). Considering these facts, in order to deal with the uncertainty of biodiesel production, studies have been focused on finding non-edible oil sources for biodiesel production (Aransiola <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0002">2014</xref>). In order to avoid a food versus fuel controversy, there is an ultimate need for exploration of non-edible resources and this will lead to minimizing the cost factor for biodiesel production (Wu <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0029">2014</xref>). Despite this, there are several factors which are of major concern for the adaption of biodiesel technology related to the environment, such as a reduction in greenhouse gases and easily biodegradable waste. While for energy security, the concerns are renewability, supply chain reliability, fuel diversity and obviously economic aspects, such as sustainability, increased farmer income and agricultural development (Utama <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0027">2014</xref>). Exploring ways to minimize the high cost of biodiesel production is of much interest in today&#x2019;s biodiesel research.</p>
			<p>Currently, various vegetable seed-based oils or animal fats are produced in large quantities for use as biodiesel feedstock. The high content of impurities (FFA and moisture) results in the need for an acid-pre-treatment step for crude vegetable oils; otherwise, the oil can certainly not be used as the feedstock of alcoholysis in the presence of alkali as the catalyst. A successful alcoholysis process requires high quality feedstock with the lowest content of impure compounds. In particular, the acid level in the oil should not be higher than 1 mg KOH&#x00B7;g<sup>&#x2212;1</sup> triglyceride. Kulkarni and Dalai (<xref ref-type="bibr" rid="CIT0010">2006</xref>) reported that the alcoholysis of feedstock with a higher FFA level (&#x003E;1.0% w/w) caused a saponification reaction which hindered the yield and formation rate of the esters produced. Thus, an acid catalyst was employed to solve this problem. However, the acid-catalyzed alcoholysis reaction resulted in a slow reaction rate and higher temperature requirement due to lower sensitivity to the FFA conversion (Peters <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0019">2006</xref>). In a similar work, the solid catalyst was applied by other researchers, such as Chan <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0005">2010</xref>) who used amberlyst 35, Park <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0018">2010</xref>) who used amberlyst 15, and Peters <italic>et al</italic>. (2006) who used applied zeolites, and sulphated zirconia and niobium acid as a heterogeneous catalyst for producing vegetable oil-based biodiesel.</p>
			<p>Response surface methodology (RSM) is a useful statistical technique for optimizing experimental conditions and investigating the critical processes by reducing the number of experimental trials (Myers and Montgomery, <xref ref-type="bibr" rid="CIT0016">2002</xref>). According to Pinzi <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0020">2010</xref>), RSM is a powerful tool that has many advantages, such as more information per experiment than unplanned approaches, a reduction in the number and cost of experiments and it makes the calculation of the interactions among experimental variables possible within the range studied, leading to better knowledge of the process. Although the application of RSM for biodiesel production is still used only occasionally (Vicente <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0028">2007</xref>), some researchers have successfully applied it to optimize the alcoholysis reaction (Abdullah <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0001">2009</xref>; Jeong <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0008">2009</xref>; Rashid <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0023">2011</xref>; Silva <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0024">2011</xref>).</p>
			<p>To obtain a low level of FFA in <italic>Oleum papaveris seminis</italic> oil as biodiesel feedstock, the focus of this study is the optimization of the esterification process. For this purpose, RSM was employed with effected variables, such as the volume ratio of methanol to oil, percentage of catalyst loading, and reaction time. The kinetic study for the esterification of FFA in <italic>Oleum papaveris seminis</italic> oil was also performed at three different reaction temperatures (50, 55 and 60 &#x00B0;C) under optimized conditions.</p>
		</sec>
		<sec id="S0002" sec-type="material|methods">
			<title>2. MATERIALS AND METHODS</title>
			<sec id="S20003">
				<title>2.1. Materials</title>
				<p>The feedstock used in this study was crude <italic>Oleum papaveris seminis</italic> oil with an initial FFA content of (10.63%). The chemicals employed were methanol (99.8% purity), sulphuric acid (95&#x2013;98% purity), isopropyl alcohol (IPA) (99.7% purity), phenolphthalein (1%), potassium hydroxide (85% purity), and amberlite 120 as the solid catalyst with its properties shown in <xref ref-type="table" rid="T0001">Table 1</xref>. The equipment used was as follows: three necked flask (<italic>reactor</italic>), Graham condenser, magnetic stirrer hot plate, burette, thermometer and other glassware.
</p>
				<table-wrap id="T0001">
					<label>Table 1</label>
					<caption>
						<p>Properties of amberlite 120<xref ref-type="table-fn" rid="TF0001">a</xref>
						</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Physical form</th>
								<th align="left">Amber spherical beads</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Matrix</td>
								<td align="left">Styrene divinylbenzene copolymer</td>
							</tr>
							<tr>
								<td align="left">Functional group</td>
								<td align="left">Sulfonic acid</td>
							</tr>
							<tr>
								<td align="left">Ionic from as shipped</td>
								<td align="left">H<sup>+</sup>
								</td>
							</tr>
							<tr>
								<td align="left">Total exchange capacity</td>
								<td align="left">&#x2265;1.8 eq&#x00B7;L<sup>&#x2212;1</sup> (H<sup>+</sup> form)</td>
							</tr>
							<tr>
								<td align="left">Moisture holding capacity</td>
								<td align="left">53&#x2013;58% (H<sup>+</sup> from)</td>
							</tr>
							<tr>
								<td align="left">Shipping weight</td>
								<td align="left">800 g&#x00B7;L<sup>&#x2212;1</sup>
								</td>
							</tr>
							<tr>
								<td align="left">Maximum reversible swelling</td>
								<td align="left">Na<sup>+</sup>&#x2192;H<sup>+</sup>&#x2264;11%</td>
							</tr>
							<tr>
								<td align="left">Maximum operating temperature</td>
								<td align="left">135 &#x00B0;C</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TF0001">
						<label>a</label>
							<p>Osorio-Viana <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0017">2013</xref>).</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</sec>
			<sec id="S20004">
				<title>2.2. Experimental procedure</title>
				<sec>
					<title>2.2.1. Catalyst preparation</title>
					<p>Amberlite 120 is a solid catalyst which requires little preparation. The amberlite was dried in an oven at 100 &#x00B0;C for 48 hours after being washed with alcohol and sulphuric acid (98%), respectively.</p>
				</sec>
				<sec>
					<title>2.2.2. Esterification</title>
					<p>The esterification reaction as shown in <xref ref-type="disp-formula" rid="FD1">Eq. (1)</xref> was performed as follows: initially, the crude <italic>Oleum papaveris seminis</italic> oil was heated in the reactor until the temperature reached about 60 &#x00B0;C. The prepared catalyst (acid-based amberlite 120) was poured into the reactor simultaneously with the methanol at various concentrations as specified previously. Once the reaction was complete the product was transferred into a separating funnel and allowed to settle for two hours. The top layer (methanol-water) was removed. The treated oil was further analyzed for its final value of FFA concentration through acid base titration. The solid catalyst was recovered for reuse.<disp-formula id="FD1">
					<alternatives>
							<mml:math id="M1">
								<mml:mrow>
									<mml:mi>FFA</mml:mi>
									<mml:mo>+</mml:mo>
									<mml:mi>MeOH</mml:mi>
									<mml:mover>
										<mml:mo stretchy="true">&#x2194;</mml:mo>
										<mml:mrow>
											<mml:mi>catalyst</mml:mi>
										</mml:mrow>
									</mml:mover>
									<mml:mi>ME</mml:mi>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mi>H</mml:mi>
										<mml:mn>2</mml:mn>
									</mml:msub>
									<mml:mi>O</mml:mi>
								</mml:mrow>
							</mml:math>
							<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq1.tif"/>
					</alternatives>
						</disp-formula>
					</p>
				</sec>
				<sec>
					<title>2.2.3. Titration technique</title>
					<p>The FFA content in the vegetable oil was determined using the acid base titration technique (<xref ref-type="disp-formula" rid="FD2">Eq. 2</xref>).<disp-formula id="FD2">
							<alternatives>
							<mml:math id="M2">
								<mml:mrow>
									<mml:mi>F</mml:mi>
									<mml:mi>F</mml:mi>
									<mml:mi>A</mml:mi>
									<mml:mrow>
										<mml:mo>(</mml:mo>
										<mml:mo>%</mml:mo>
										<mml:mo>)</mml:mo>
									</mml:mrow>
									<mml:mo>=</mml:mo>
									<mml:mfrac>
										<mml:mrow>
											<mml:mn>28.2</mml:mn>
											<mml:mtext></mml:mtext>
											<mml:mi>x</mml:mi>
											<mml:mtext></mml:mtext>
											<mml:mi>N</mml:mi>
											<mml:mtext></mml:mtext>
											<mml:mi>x</mml:mi>
											<mml:mtext></mml:mtext>
											<mml:mi>V</mml:mi>
										</mml:mrow>
										<mml:mi>W</mml:mi>
									</mml:mfrac>
								</mml:mrow>
							</mml:math>
							<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq2.tif"/>
							</alternatives>
						</disp-formula>
					</p>
					<p>Where: <italic>N</italic>, <italic>V</italic> and <italic>W</italic> denote the normality of the KOH solution, volume of the KOH solution, and weight of the oil sample, respectively.</p>
					<p>
						<xref ref-type="table" rid="T0002">Table 2</xref> shows the initial value of the FFA in crude vegetable oils. A standard solution of 0.1N of IPA in a flask was brought to boil on a hot plate. About 0.5 mL of phenolphthalein were added drop-wise with the addition of 0.1N KOH until a faint, but permanent, pink color was obtained. In this study, the sample weight was 2.5 g with 50 mL of the neutralized solvent added. The flask was heated to about 40 &#x00B0;C. The sample was then titrated, while shaking gently, with the standard Alkali until the first permanent color change, where the color persisted for at least 30s (Lin <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0011">1995</xref>).
</p>
					<table-wrap id="T0002">
						<label>Table 2</label>
						<caption>
							<p>Comparison of initial FFA level of different vegetable oils</p>
						</caption>
						<table frame="hsides" rules="groups">
							<thead>
								<tr>
									<th align="left">Type of oils</th>
									<th align="center">Initial value (%, w/w)</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">
										<italic>Oleum papaveris seminis</italic> oil</td>
									<td align="center">10.63</td>
								</tr>
								<tr>
									<td align="left">Jatropha curcas oil<xref ref-type="table-fn" rid="TF0002">b</xref>
									</td>
									<td align="center">25.3</td>
								</tr>
								<tr>
									<td align="left">Rubber seed oil<xref ref-type="table-fn" rid="TF0003">c</xref>
									</td>
									<td align="center">17</td>
								</tr>
								<tr>
									<td align="left">Crude palm oil<xref ref-type="table-fn" rid="TF0002">b</xref>
									</td>
									<td align="center">6.1</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TF0002">
							<label>b</label>
								<p>Azhari <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0003">2008</xref>);</p>
							</fn>
							<fn id="TF0003">
							<label>c</label>
								<p>Ramadhas <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0022">2005</xref>).</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</sec>
			</sec>
			<sec id="S20008">
				<title>2.3. Experimental design</title>
				<p>RSM was used to optimize the esterification of FFA in the <italic>Oleum papaveris seminis</italic> oil. A five-level, three-factor central composite rotatable design requiring a total of 20 experiments was adopted in this work (Jeong <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0009">2007</xref>; Halim <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0007">2009</xref>). The ratio of methanol to vegetable oil (A) in the range of 30&#x2013;50% v/v, percent of catalyst loading (B) in the range of 0.5&#x2013;1.0 wt%, and reaction time (C) in the range of 60&#x2013;120 min were selected as parameters. The final percentage of FFA in the treated oil (Y) was selected to be the response variable. Each factor was coded into levels &#x2212;&#x3B1;, &#x2212;1, 0, +1 and +&#x3B1; as shown in <xref ref-type="table" rid="T0003">Table 3</xref>. The experimental design employed together with the results are given in <xref ref-type="table" rid="T0004">Table 4</xref>.
</p>
				<table-wrap id="T0003">
					<label>Table 3</label>
					<caption>
						<p>Factors and levels for central composite design</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left" rowspan="3" valign="bottom">Parameters</th>
								<th align="center" rowspan="3" valign="bottom">Symbol</th>
								<th align="center" colspan="5">Coded factor levels</th>
							</tr>
							<tr>
								<th colspan="5">
									<hr/>
								</th>
							</tr>
							<tr>
								<th align="center">&#x2212;&#x3B1;</th>
								<th align="center">&#x2212;1</th>
								<th align="center">0</th>
								<th align="center">+1</th>
								<th align="center">+&#x3B1;</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Ratio of methanol (% v/v)</td>
								<td align="center">A</td>
								<td align="center">34.05</td>
								<td align="center">30</td>
								<td align="center">40</td>
								<td align="center">50</td>
								<td align="center">45.95</td>
							</tr>
							<tr>
								<td align="left">Percentage of catalyst (% w/w)</td>
								<td align="center">B</td>
								<td align="center">0.60</td>
								<td align="center">0.50</td>
								<td align="center">0.75</td>
								<td align="center">1.00</td>
								<td align="center">0.90</td>
							</tr>
							<tr>
								<td align="left">Reaction time (min)</td>
								<td align="center">C</td>
								<td align="center">72.16</td>
								<td align="center">60</td>
								<td align="center">90</td>
								<td align="center">120</td>
								<td align="center">107.84</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<table-wrap id="T0004">
					<label>Table 4</label>
					<caption>
						<p>Experimental design for the FFA concentration of <italic>Oleum papaveris seminis</italic> oil</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Standard order</th>
								<th align="center">Ratio of methanol (% v/v) A</th>
								<th align="center">Catalyst percentage (% w/w) B</th>
								<th align="center">Reaction time (min) C</th>
								<th align="center">Observed FFA of oil (%)</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">1</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">2.59</td>
							</tr>
							<tr>
								<td align="left">2</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">1.75</td>
							</tr>
							<tr>
								<td align="left">3</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">2.41</td>
							</tr>
							<tr>
								<td align="left">4</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">1.29</td>
							</tr>
							<tr>
								<td align="left">5</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">1.65</td>
							</tr>
							<tr>
								<td align="left">6</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">1.39</td>
							</tr>
							<tr>
								<td align="left">7</td>
								<td align="center">&#x2212;&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">1.31</td>
							</tr>
							<tr>
								<td align="left">8</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">+&#x3B1;</td>
								<td align="center">0.32</td>
							</tr>
							<tr>
								<td align="left">9</td>
								<td align="center">&#x2212;1</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">2.65</td>
							</tr>
							<tr>
								<td align="left">10</td>
								<td align="center">+1</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.31</td>
							</tr>
							<tr>
								<td align="left">11</td>
								<td align="center">0</td>
								<td align="center">&#x2212;1</td>
								<td align="center">0</td>
								<td align="center">1.85</td>
							</tr>
							<tr>
								<td align="left">12</td>
								<td align="center">0</td>
								<td align="center">+1</td>
								<td align="center">0</td>
								<td align="center">1.12</td>
							</tr>
							<tr>
								<td align="left">13</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">&#x2212;1</td>
								<td align="center">2.66</td>
							</tr>
							<tr>
								<td align="left">14</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">+1</td>
								<td align="center">1.21</td>
							</tr>
							<tr>
								<td align="left">15</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.25</td>
							</tr>
							<tr>
								<td align="left">16</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.2</td>
							</tr>
							<tr>
								<td align="left">17</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.24</td>
							</tr>
							<tr>
								<td align="left">18</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.26</td>
							</tr>
							<tr>
								<td align="left">19</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.23</td>
							</tr>
							<tr>
								<td align="left">20</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">0</td>
								<td align="center">1.22</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn>
							<p>Values are mean&#x00B1;SD.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
			</sec>
			<sec id="S20009">
				<title>2.4. Statistical analysis</title>
				<p>The experimental data was obtained by applying the central composite rotatable design procedure. It was analyzed by the response surface regression procedure using the second order polynomial <xref ref-type="disp-formula" rid="FD3">Eq. (3)</xref>. Second order coefficients were generated via regression. The response was initially fitted to the factors via multiple regressions. The quality of the fit of the model was evaluated using the coefficients of determination (R<sup>2</sup>) and analysis of variance (ANOVA).<disp-formula id="FD3">
						<alternatives>
						<mml:math id="M3">
							<mml:mrow>
								<mml:mi>Y</mml:mi>
								<mml:mo>=</mml:mo>
								<mml:msub>
									<mml:mi>b</mml:mi>
									<mml:mn>0</mml:mn>
								</mml:msub>
								<mml:mo>+</mml:mo>
								<mml:msubsup>
									<mml:mo>&#x03A3;</mml:mo>
									<mml:mrow>
										<mml:mi>i</mml:mi>
										<mml:mo>=</mml:mo>
										<mml:mn>1</mml:mn>
									</mml:mrow>
									<mml:mi>p</mml:mi>
								</mml:msubsup>
								<mml:mrow>
									<mml:msub>
										<mml:mi>b</mml:mi>
										<mml:mi>i</mml:mi>
									</mml:msub>
									<mml:msub>
										<mml:mi>x</mml:mi>
										<mml:mi>i</mml:mi>
									</mml:msub>
								</mml:mrow>
								<mml:mo>+</mml:mo>
								<mml:msubsup>
									<mml:mo>&#x03A3;</mml:mo>
									<mml:mrow>
										<mml:mi>i</mml:mi>
										<mml:mo>=</mml:mo>
										<mml:mn>1</mml:mn>
									</mml:mrow>
									<mml:mi>p</mml:mi>
								</mml:msubsup>
								<mml:mrow>
									<mml:msub>
										<mml:mi>b</mml:mi>
										<mml:mrow>
											<mml:mi>i</mml:mi>
											<mml:mi>j</mml:mi>
										</mml:mrow>
									</mml:msub>
									<mml:msubsup>
										<mml:mi>x</mml:mi>
										<mml:mi>i</mml:mi>
										<mml:mn>2</mml:mn>
									</mml:msubsup>
								</mml:mrow>
								<mml:mo>+</mml:mo>
								<mml:msubsup>
									<mml:mo>&#x03A3;</mml:mo>
									<mml:mi>i</mml:mi>
									<mml:mi>p</mml:mi>
								</mml:msubsup>
								<mml:mrow>
									<mml:msubsup>
										<mml:mo>&#x03A3;</mml:mo>
										<mml:mi>j</mml:mi>
										<mml:mi>p</mml:mi>
									</mml:msubsup>
									<mml:mrow>
										<mml:msub>
											<mml:mi>b</mml:mi>
											<mml:mrow>
												<mml:mi>i</mml:mi>
												<mml:mi>j</mml:mi>
											</mml:mrow>
										</mml:msub>
										<mml:msub>
											<mml:mi>x</mml:mi>
											<mml:mi>i</mml:mi>
										</mml:msub>
										<mml:msub>
											<mml:mi>x</mml:mi>
											<mml:mi>j</mml:mi>
										</mml:msub>
									</mml:mrow>
								</mml:mrow>
							</mml:mrow>
						</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq3.tif"/>
						</alternatives>
					</disp-formula>
				</p>
				<p>Where Y is the response (final concentration of FFA in the treated oil) variable, <italic>i</italic> and <italic>j</italic> are the linear and quadratic coefficients, b represents the regression coefficient, p is the number of factors studied and optimized in the present study.</p>
				<p>The ANOVA for the response surface quadratic model is shown in <xref ref-type="table" rid="T0005">Table 5</xref>. The coefficients of the response surface model, as provided by <xref ref-type="disp-formula" rid="FD3">Eq. (3)</xref> were also evaluated. A p-value showed that all of the linear coefficients were more highly significant than their quadratic and cross-product terms. However, in order to minimize error, all of the coefficients were considered in the design. According to the ANOVA analysis of the factors, a poor fit was obtained. This indicated that the model indeed represented the actual relationships of reaction parameters, which were well within the selected ranges (<xref ref-type="table" rid="T0005">Table 5</xref>). The final estimative response model equation by which the percentage of FFA was estimated was as follows:</p>
				<disp-formula id="FD4">
					<alternatives>
					<mml:math id="M4">
						<mml:mrow>
							<mml:mtext>Y</mml:mtext>
							<mml:mo>=</mml:mo>
							<mml:mo>+</mml:mo>
							<mml:mn>27.92</mml:mn>
							<mml:mo>-</mml:mo>
							<mml:mn>0.69</mml:mn>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>1</mml:mtext>
							</mml:msub>
							<mml:mo>-</mml:mo>
							<mml:mtext>2.77</mml:mtext>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>2</mml:mtext>
							</mml:msub>
							<mml:mo>-</mml:mo>
							<mml:mtext>0.20</mml:mtext>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>3</mml:mtext>
							</mml:msub>
							<mml:mo>+</mml:mo>
							<mml:mn>0.006</mml:mn>
							<mml:msubsup>
								<mml:mrow>
									<mml:mtext>X</mml:mtext>
								</mml:mrow>
								<mml:mtext>1</mml:mtext>
								<mml:mtext>2</mml:mtext>
							</mml:msubsup>
							<mml:mo>+</mml:mo>
							<mml:mn>2.49</mml:mn>
							<mml:msubsup>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>2</mml:mtext>
								<mml:mtext>2</mml:mtext>
							</mml:msubsup>
							<mml:mo>+</mml:mo>
							<mml:mn>0.0006</mml:mn>
							<mml:msubsup>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>3</mml:mtext>
								<mml:mtext>2</mml:mtext>
							</mml:msubsup>
							<mml:mo>-</mml:mo>
							<mml:mtext>0.001</mml:mtext>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>1</mml:mtext>
							</mml:msub>
							<mml:msub>
								<mml:mi>X</mml:mi>
								<mml:mtext>2</mml:mtext>
							</mml:msub>
							<mml:mo>-</mml:mo>
							<mml:mtext>0.004</mml:mtext>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>1</mml:mtext>
							</mml:msub>
							<mml:msub>
								<mml:mi>X</mml:mi>
								<mml:mtext>3</mml:mtext>
							</mml:msub>
							<mml:mo>+</mml:mo>
							<mml:mn>6.51</mml:mn>
							<mml:msub>
								<mml:mrow>
									<mml:mi>X</mml:mi>
								</mml:mrow>
								<mml:mtext>2</mml:mtext>
							</mml:msub>
							<mml:msub>
								<mml:mi>X</mml:mi>
								<mml:mtext>3</mml:mtext>
							</mml:msub>
						</mml:mrow>
					</mml:math>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq4.tif"/>
					</alternatives>
				</disp-formula>
				<table-wrap id="T0005">
					<label>Table 5</label>
					<caption>
						<p>Analysis of variance (ANOVA) for response surface quadratic model</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Source</th>
								<th align="center">Sum of squares</th>
								<th align="center">df</th>
								<th align="center">Mean square</th>
								<th align="center">F value</th>
								<th align="center">p-value</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Model</td>
								<td align="center">5.65</td>
								<td align="center">9</td>
								<td align="center">0.63</td>
								<td align="center">41.73</td>
								<td align="center">&#x003C;0.0001</td>
							</tr>
							<tr>
								<td align="left">A-Ratio of methanol</td>
								<td align="center">1.68</td>
								<td align="center">1</td>
								<td align="center">1.68</td>
								<td align="center">111.37</td>
								<td align="center">&#x003C;0.0001</td>
							</tr>
							<tr>
								<td align="left">B-Percentage of catalyst</td>
								<td align="center">0.49</td>
								<td align="center">1</td>
								<td align="center">0.49</td>
								<td align="center">32.84</td>
								<td align="center">0.0002</td>
							</tr>
							<tr>
								<td align="left">C-Reaction time</td>
								<td align="center">1.93</td>
								<td align="center">1</td>
								<td align="center">1.93</td>
								<td align="center">128.01</td>
								<td align="center">&#x003C;0.0001</td>
							</tr>
							<tr>
								<td align="left">AB</td>
								<td align="center">0.014</td>
								<td align="center">1</td>
								<td align="center">0.014</td>
								<td align="center">0.90</td>
								<td align="center">0.3639</td>
							</tr>
							<tr>
								<td align="left">AC</td>
								<td align="center">0.24</td>
								<td align="center">1</td>
								<td align="center">0.24</td>
								<td align="center">16.05</td>
								<td align="center">0.0025</td>
							</tr>
							<tr>
								<td align="left">BC</td>
								<td align="center">0.001</td>
								<td align="center">1</td>
								<td align="center">0.001</td>
								<td align="center">0.067</td>
								<td align="center">0.8006</td>
							</tr>
							<tr>
								<td align="left">A<sup>2</sup>
								</td>
								<td align="center">0.76</td>
								<td align="center">1</td>
								<td align="center">0.76</td>
								<td align="center">50.71</td>
								<td align="center">&#x003C;0.0001</td>
							</tr>
							<tr>
								<td align="left">B<sup>2</sup>
								</td>
								<td align="center">0.044</td>
								<td align="center">1</td>
								<td align="center">0.044</td>
								<td align="center">2.91</td>
								<td align="center">0.1191</td>
							</tr>
							<tr>
								<td align="left">C<sup>2</sup>
								</td>
								<td align="center">0.66</td>
								<td align="center">1</td>
								<td align="center">0.66</td>
								<td align="center">43.94</td>
								<td align="center">&#x003C;0.0001</td>
							</tr>
							<tr>
								<td align="left">Residual</td>
								<td align="center">0.15</td>
								<td align="center">10</td>
								<td align="center">0.015</td>
								<td align="center"/>
								<td align="center"/>
							</tr>
							<tr>
								<td align="left">Lack of Fit</td>
								<td align="center">0.15</td>
								<td align="center">5</td>
								<td align="center">0.030</td>
								<td align="center">63.48</td>
								<td align="center">0.0002</td>
							</tr>
							<tr>
								<td align="left">Pure Error</td>
								<td align="center">0.0023</td>
								<td align="center">5</td>
								<td align="center">0.00047</td>
								<td align="center"/>
								<td align="center"/>
							</tr>
							<tr>
								<td align="left">Total</td>
								<td align="center">5.80</td>
								<td align="center">19</td>
								<td align="center"/>
								<td align="center"/>
								<td align="center"/>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn>
							<p>C.V=7.770%; R<sup>2</sup>=0.974; adj R<sup>2</sup>=0.951.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
				<p>Where X<sub>1</sub>, X<sub>2</sub> and X<sub>3</sub> represent the variables of A, B and C, respectively.</p>
			</sec>
		</sec>
		<sec id="S0010" sec-type="results|discussion">
			<title>3. RESULTS AND DISCUSSION</title>
			<p>Since the esterification reaction was required to reduce the free fatty acid (FFA) concentration in the crude vegetable oil, the reaction took place under the reversible mode. The excess of alcohol was needed to increase the conversion of FFA into valuable ester compounds. <xref ref-type="fig" rid="F0001">Figure 1</xref> shows the progress of the esterification reaction at various reaction intervals. The esterification of FFA in <italic>Oleum papaveris seminis</italic> oil using pure amberlite 120 took a longer time to reduce FFA to less than 1.0% w/w compared to the esterification of FFA with the acid-based amberlite 120 catalyst. Therefore, the latter was applied.</p>
			<fig id="F0001">
				<label>Figure 1</label>
				<caption>
					<p>Progress of FFA esterification over various reaction times.</p>
				</caption>
				<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g001.tif"/>
			</fig>
			<sec id="S20011">
				<title>3.1. Optimization of the processing conditions by response surface methodology</title>
				<p>In this study, the reduction process of the FFA concentration in the oil which corresponded to those parameters (ratio of methanol, percentage of catalyst loading and reaction time) was evaluated by employing RSM. <xref ref-type="table" rid="T0004">Table 4</xref> shows the results of the experimental work of the central composite rotatable design at each point. Twenty experiments were performed in triplicate. Analysis of the regression was used to fit the emperical model with the generated response variable data (Mason <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0014">1989</xref>). The response variable (<xref ref-type="table" rid="T0004">Table 4</xref>) was correlated with the three independent parameters using the polynomial equation (<xref ref-type="disp-formula" rid="FD3">Eq. 3</xref>).</p>
				<p>The observed and predicted values of the FFA level in the treated oil at the designated points of different esterification reaction conditions are shown in <xref ref-type="fig" rid="F0002">Figure 2</xref>. The lowest percentage of the FFA concentration (0.60%) was obtained at the 44.70% v/v ratio of methanol, 0.87% wt catalyst loading, and 102.40 min reaction time.</p>
				<fig id="F0002">
					<label>Figure 2</label>
					<caption>
						<p>Plot of actual vs. predicted values of FFA.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g002.tif"/>
				</fig>
				<p>Design-Expert 8 software (Stat-Ease, Inc. Minneapolis, USA) was used to determine and evaluate the coefficient of the full regression model equation and its statistical significance. Models were analyzed and validated by analysis of variance (ANOVA). The model appears to be adequate for the observed data at a 95% confidence level and p values of &#x003C;0.05. As the obtained data was analyzed using ANOVA (<xref ref-type="table" rid="T0005">Table 5</xref>), satisfactory representation of the real relationship among the selected factors as shown in the 95% confidence level, the model was found to be significant as the computed F value (F<sub>model</sub>=41.73) with a very low probability value (p-value&#x003C;0.0001) indicated the high significance of the fitted model which also shows the reliability of the regression model for predicting the percentage of FFA in the treated feedstock oil (Lee <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0012">2005</xref>). As previously reported by Rashid <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0023">2011</xref>), the model coefficient and probability values support the fact that the model was suitable for <xref ref-type="table" rid="T0006">Table 6</xref>. The normal probability plot of residuals is indicated in <xref ref-type="fig" rid="F0003">Figure 3</xref>. It also reveals that the distribution of the data along the resultant curve showed the normality of the data due to an almost linear plot.
</p>
				<fig id="F0003">
					<label>Figure 3</label>
					<caption>
						<p>Normal probability plot of residuals.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g003.tif"/>
				</fig>
				<table-wrap id="T0006">
					<label>Table 6</label>
					<caption>
						<p>Regression coefficients and significance of response surface quadratic model</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Factor</th>
								<th align="center">Coefficient estimate</th>
								<th align="center">df</th>
								<th align="center">Standard error</th>
								<th align="center">95% CI low</th>
								<th align="center">95% CI high</th>
								<th align="center">VIF</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">Intercept</td>
								<td align="center">1.24</td>
								<td align="center">1</td>
								<td align="center">0.050</td>
								<td align="center">1.13</td>
								<td align="center">1.35</td>
								<td align="center"/>
							</tr>
							<tr>
								<td align="left">A</td>
								<td align="center">&#x2212;0.35</td>
								<td align="center">1</td>
								<td align="center">0.033</td>
								<td align="center">&#x2212;0.42</td>
								<td align="center">&#x2212;0.28</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">B</td>
								<td align="center">&#x2212;0.19</td>
								<td align="center">1</td>
								<td align="center">0.033</td>
								<td align="center">&#x2212;0.26</td>
								<td align="center">&#x2212;0.12</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">C</td>
								<td align="center">&#x2212;0.38</td>
								<td align="center">1</td>
								<td align="center">0.033</td>
								<td align="center">&#x2212;0.45</td>
								<td align="center">&#x2212;0.30</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">AB</td>
								<td align="center">&#x2212;0.041</td>
								<td align="center">1</td>
								<td align="center">0.043</td>
								<td align="center">&#x2212;0.14</td>
								<td align="center">&#x2212;0.05</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">AC</td>
								<td align="center">0.17</td>
								<td align="center">1</td>
								<td align="center">0.043</td>
								<td align="center">&#x2212;0.07</td>
								<td align="center">0.27</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">BC</td>
								<td align="center">&#x2212;0.01</td>
								<td align="center">1</td>
								<td align="center">0.043</td>
								<td align="center">&#x2212;0.11</td>
								<td align="center">0.08</td>
								<td align="center">1.00</td>
							</tr>
							<tr>
								<td align="left">A<sup>2</sup>
								</td>
								<td align="center">0.23</td>
								<td align="center">1</td>
								<td align="center">0.032</td>
								<td align="center">0.16</td>
								<td align="center">0.30</td>
								<td align="center">1.02</td>
							</tr>
							<tr>
								<td align="left">B<sup>2</sup>
								</td>
								<td align="center">0.06</td>
								<td align="center">1</td>
								<td align="center">0.032</td>
								<td align="center">&#x2212;0.02</td>
								<td align="center">0.13</td>
								<td align="center">1.02</td>
							</tr>
							<tr>
								<td align="left">C<sup>2</sup>
								</td>
								<td align="center">0.21</td>
								<td align="center">1</td>
								<td align="center">0.032</td>
								<td align="center">0.14</td>
								<td align="center">0.29</td>
								<td align="center">1.02</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
			</sec>
			<sec id="S20012">
				<title>3.2. Esterification of FFA in <italic>Oleum papaveris seminis</italic> oil</title>
				<p>To investigate the characteristic of the esterification process in the presence of acid-based amberlite 120, a reuse test of the catalyst was carried out. The catalyst was reused for five cycles after being separated from the reaction products (<xref ref-type="fig" rid="F0004">Figure 4</xref>). The affecting variables, such as reaction time, ratio of methanol, and percentage of catalyst loading, were applied in this process. In a previous study, Ghadge and Raheman (<xref ref-type="bibr" rid="CIT0006">2005</xref>) reported that the reduction of the FFA concentration in vegetable oils was influenced by the amount of catalyst loading. The present study indicates that the symptom of the FFA level reduction was affected significantly by increasing the reactant volume and catalyst percentage as shown in <xref ref-type="fig" rid="F0005">Figure 5a&#x2013;c</xref>.</p>
				<fig id="F0004">
					<label>Figure 4</label>
					<caption>
						<p>Reusability of the amberlite 120 catalyst. The experiment was done under optimum the condition: catalyst concentration (0.87% w/w); percentage of methanol to oil ratio (44.70% v/v) and of reaction time (102.5 min).</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g004.tif"/>
				</fig>
				<fig id="F0005">
					<label>Figure 5</label>
					<caption>
						<p>Surface plots of FFA reduction of <italic>Oleum papaveris seminis</italic> oil.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g005.tif"/>
				</fig>
				<p>The effect of the increase in the methanol concentration on the reduction of FFA levels in the crude <italic>Oleum papaveris seminis</italic> oil showed that the ratio of methanol was an important variable in the esterification process. <xref ref-type="fig" rid="F0005">Figure 5a&#x2013;c</xref> show that the reduction in FFA levels was proportional to the intercalation of the methanol. At 38% v/v of methanol, the FFA levels dropped to 2.01%. As the ratio of methanol increased to more than 40% v/v, the FFA levels in the oil decreased significantly to &#x003C;1.0%. However, the optimum ratio of methanol applied in this study was 44.70% v/v. A similar work reported that the optimum condition of the esterification of oleic acid with amberlyst 15 and amberlyst BD20 required 20% wt of the catalyst and a 6:1 molar ratio of methanol (Park <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0018">2010</xref>).</p>
				<p>The reduction in the FFA level in the oil clearly depended on the time span of the reaction. Even though other parameters played important roles in alleviating the FFA percentage, the esterification reaction time seemed to have a considerable effect on the final FFA level as shown in <xref ref-type="fig" rid="F0005">Figure 5b</xref> and <xref ref-type="fig" rid="F0005">5c</xref>. From those Figures, it was observed that the FFA level in the oil was alleviated with an increasing reaction time. The FFA level reduced sharply to less than 1.0% at 102.40 min of reaction time. Tesser <italic>et al</italic>. (<xref ref-type="bibr" rid="CIT0026">2010</xref>) reported that the optimum reaction time for reducing the FFA levels in a soybean oil-oleic acid mixture was 150 min in the presence of 1.0% catalyst (acid exchange resin).</p>
				<p>From <xref ref-type="table" rid="T0005">Table 5</xref>, it can be seen that the high (F) value and the low value of its corresponding (p) value showed that the linear term of the methanol ratio (A), percentage of catalyst (B), and reaction time (C) significantly affected the reduction of the FFA levels in the crude <italic>Oleum papaveris seminis</italic> oil. The quadratic term of the reaction time C (F value=128.01) was more significant than the methanol ratio A (F value=111.37) and the catalyst percentage B (F value=32.84). The quadratic effect of the interaction variables between the methanol ratio and reaction time was predominant (F value=16.05 and p-value=0.0025) as compared to the methanol ratio with the percentage of catalyst (F value=0.90 and p-value=0.3639) and the percentage of the catalyst with the reaction time (F value=0.067 and p-value=0.0025).</p>
			</sec>
			<sec id="S20013">
				<title>3.3. Kinetics model</title>
				<p>The kinetics study on the FFA reduction in <italic>Oleum papaveris seminis</italic> oil was conducted at three reaction temperatures (50, 55 and 60 &#x00B0;C) and two optimized parameters (ratio of methanol (44.70% v/v) and percentage of catalyst loading (0.87% (w/w)). In this study, the kinetics samples were taken at identical reaction times from 10 min to 110 min in order to observe the rate of the FFA conversion into valuable alkyl esters. Thus, a simplification of the esterification reaction mechanism was carried out to obtain a simple mathematical equation. Therefore, this esterification reaction was assumed to be taking place in an irreversible mode. The rate of the FFA reduction in the oil of the feedstock was derived mathematically based on <xref ref-type="disp-formula" rid="FD1">Eq. (1)</xref> to generate <xref ref-type="disp-formula" rid="FD5">Eqs. (5)</xref> to <xref ref-type="disp-formula" rid="FD7">(7)</xref>.<disp-formula id="FD5">
						<alternatives>
						<mml:math id="M5">
							<mml:mrow>
								<mml:mi>rate</mml:mi>
								<mml:mo>=</mml:mo>
								<mml:mo>-</mml:mo>
								<mml:mfrac>
									<mml:mrow>
										<mml:mi>d</mml:mi>
										<mml:mrow>
											<mml:mo stretchy="true">(</mml:mo>
											<mml:mrow>
												<mml:msub>
													<mml:mi>C</mml:mi>
													<mml:mrow>
														<mml:mi>FFA</mml:mi>
													</mml:mrow>
												</mml:msub>
											</mml:mrow>
											<mml:mo stretchy="true">)</mml:mo>
										</mml:mrow>
									</mml:mrow>
									<mml:mrow>
										<mml:mi>dt</mml:mi>
									</mml:mrow>
								</mml:mfrac>
								<mml:mo>=</mml:mo>
								<mml:mi>k</mml:mi>
								<mml:mrow>
									<mml:mo stretchy="true">(</mml:mo>
									<mml:mrow>
										<mml:msub>
											<mml:mi>C</mml:mi>
											<mml:mrow>
												<mml:mi>FFA</mml:mi>
											</mml:mrow>
										</mml:msub>
									</mml:mrow>
									<mml:mo stretchy="true">)</mml:mo>
								</mml:mrow>
							</mml:mrow>
						</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq5.tif"/>
						</alternatives>
					</disp-formula>
				</p>
				<p><xref ref-type="disp-formula" rid="FD5">Eq. (5)</xref> was integrated to get <xref ref-type="disp-formula" rid="FD6">Eq. (6)</xref><disp-formula id="FD6">
						<alternatives>
						<mml:math id="M6">
							<mml:mrow>
								<mml:mi>k</mml:mi>
								<mml:mo>=</mml:mo>
								<mml:mfrac>
									<mml:mn>1</mml:mn>
									<mml:mi>t</mml:mi>
								</mml:mfrac>
								<mml:mo>ln</mml:mo>
								<mml:mfrac>
									<mml:mrow>
										<mml:msub>
											<mml:mi>C</mml:mi>
											<mml:mrow>
												<mml:mi>F</mml:mi>
												<mml:mi>F</mml:mi>
												<mml:msub>
													<mml:mi>A</mml:mi>
													<mml:mn>0</mml:mn>
												</mml:msub>
											</mml:mrow>
										</mml:msub>
									</mml:mrow>
									<mml:mrow>
										<mml:msub>
											<mml:mi>C</mml:mi>
											<mml:mrow>
												<mml:mi>F</mml:mi>
												<mml:mi>F</mml:mi>
												<mml:mi>A</mml:mi>
											</mml:mrow>
										</mml:msub>
									</mml:mrow>
								</mml:mfrac>
							</mml:mrow>
						</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq6.tif"/>
						</alternatives>
					</disp-formula>
				</p>
				<p>Using log to the base 10, <xref ref-type="disp-formula" rid="FD6">Eq. (6)</xref> becomes:<disp-formula id="FD7">
						<alternatives>
						<mml:math id="M7">
							<mml:mrow>
								<mml:mi>k</mml:mi>
								<mml:mo>=</mml:mo>
								<mml:mfrac>
									<mml:mrow>
										<mml:mn>2.303</mml:mn>
									</mml:mrow>
									<mml:mi>t</mml:mi>
								</mml:mfrac>
								<mml:msub>
									<mml:mrow>
										<mml:mo>log</mml:mo>
									</mml:mrow>
									<mml:mrow>
										<mml:mn>10</mml:mn>
									</mml:mrow>
								</mml:msub>
								<mml:mrow>
									<mml:mo>(</mml:mo>
									<mml:mrow>
										<mml:mfrac>
											<mml:mrow>
												<mml:msub>
													<mml:mi>C</mml:mi>
													<mml:mrow>
														<mml:mi>F</mml:mi>
														<mml:mi>F</mml:mi>
														<mml:msub>
															<mml:mi>A</mml:mi>
															<mml:mn>0</mml:mn>
														</mml:msub>
													</mml:mrow>
												</mml:msub>
											</mml:mrow>
											<mml:mrow>
												<mml:msub>
													<mml:mi>C</mml:mi>
													<mml:mrow>
														<mml:mi>F</mml:mi>
														<mml:mi>F</mml:mi>
														<mml:mi>A</mml:mi>
													</mml:mrow>
												</mml:msub>
											</mml:mrow>
										</mml:mfrac>
									</mml:mrow>
									<mml:mo>)</mml:mo>
								</mml:mrow>
							</mml:mrow>
						</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq7.tif"/>
						</alternatives>
					</disp-formula>
				</p>
				<p>Where: <italic>k</italic> is the overall rate constant for FFA, <italic>t</italic> is the reaction time and <italic>C<sub>FFA<sub>0</sub></sub>
					</italic> is the FFA concentration of the oil at the initial time (t=0 min). For the alcoholysis of FFA, a plot of the reaction time (<italic>t</italic>) against log <inline-formula id="IFD1">
						<alternatives>
							<mml:math id="ILM1">
								<mml:mrow>
									<mml:mrow>
										<mml:mo>(</mml:mo>
										<mml:mrow>
											<mml:mfrac>
												<mml:mrow>
													<mml:msub>
														<mml:mi>C</mml:mi>
														<mml:mrow>
															<mml:mi>F</mml:mi>
															<mml:mi>F</mml:mi>
															<mml:msub>
																<mml:mi>A</mml:mi>
																<mml:mn>0</mml:mn>
															</mml:msub>
														</mml:mrow>
													</mml:msub>
												</mml:mrow>
												<mml:mrow>
													<mml:msub>
														<mml:mi>C</mml:mi>
														<mml:mrow>
															<mml:mi>F</mml:mi>
															<mml:mi>F</mml:mi>
															<mml:mi>A</mml:mi>
														</mml:mrow>
													</mml:msub>
												</mml:mrow>
											</mml:mfrac>
										</mml:mrow>
										<mml:mo>)</mml:mo>
									</mml:mrow>
								</mml:mrow>
							</mml:math>
							<inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-ieq1.tif"/>
						</alternatives>
					</inline-formula>
 will generate a straight line if the value of the first order model is obtained. <xref ref-type="fig" rid="F0006">Figure 6</xref> shows the data plots at temperatures 50, 55, and 60 &#x00B0;C (323, 328 and 333 K). Thus, the slope of 2.303/k was applied in calculating the rate constant of reaction (<italic>k</italic>). The values of <italic>k</italic> and their corresponding correlation coefficients are shown in <xref ref-type="table" rid="T0007">Table 7</xref>. The results indicate that the endothermic behavior of the esterification process was considerably influenced by the amount of heat applied. It was proved that increasing the reaction temperature raised the reaction rate constant (<italic>k</italic>) as shown in <xref ref-type="table" rid="T0007">Table 7</xref>. In a similar study, Su (<xref ref-type="bibr" rid="CIT0025">2013</xref>) reported that <italic>k</italic> values increased with the reaction temperature. However, when the data was plotted in the second order model, the graph did not produce a straight line and it revealed that the esterification process did not match the reaction order. From <xref ref-type="fig" rid="F0005">Figure 5</xref>, it can be observed that a reasonable distribution of data plotted for the entire reaction showed identical temperatures, reflecting a fit of the experimental data as indicated by the high coefficient of determination values as shown in <xref ref-type="table" rid="T0007">Table 7</xref>. Then, the curve slope-based calculation of the reaction rate constants (<italic>k</italic>) was determined with a very simple mathematical method. The whole of the <italic>k</italic> values was tabulated afterwards in <xref ref-type="table" rid="T0007">Table 7</xref>.
</p>
				<fig id="F0006">
					<label>Figure 6</label>
					<caption>
						<p>First order kinetics model for esterification of FFA in <italic>Oleum papaveris seminis</italic> oil at various temperatures.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g006.tif"/>
				</fig>
				<table-wrap id="T0007">
					<label>Table 7</label>
					<caption>
						<p>Esterification reaction rate constant of FFA in <italic>Oleum papaveris seminis</italic> oil</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Temperature (&#x00B0;C)</th>
								<th align="center">
									<italic>k</italic> (min<sup>&#x2212;1</sup>)</th>
								<th align="center">R<sup>2</sup>
								</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">50</td>
								<td align="center">0.013</td>
								<td align="center">0.92</td>
							</tr>
							<tr>
								<td align="left">55</td>
								<td align="center">0.015</td>
								<td align="center">0.98</td>
							</tr>
							<tr>
								<td align="left">60</td>
								<td align="center">0.027</td>
								<td align="center">0.90</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<p>Theoretically, it revealed that the reaction rate constant for any reaction depends on two factors, such as the frequency of collisions among the reactant molecules and the values of the activation energy. The dependency of the rate constant, <italic>k</italic>, on the temperature follows the Arrhenius <xref ref-type="disp-formula" rid="FD8">equation (8)</xref>:</p>
				<disp-formula id="FD8">
				<alternatives>
				<mml:math id="M8">
 <mml:mrow>
 <mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mi>A</mml:mi><mml:mo>exp</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mo>-</mml:mo><mml:mi>E</mml:mi><mml:mo>/</mml:mo><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:mo stretchy='false'>)</mml:mo>
</mml:mrow>
</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq8.tif"/>
				</alternatives>
</disp-formula>				
				
				<p>Therefore, <xref ref-type="disp-formula" rid="FD8">Eq. (8)</xref> was substituted into the logarithmic form as given by <xref ref-type="disp-formula" rid="FD9">Eq. (9)</xref>.</p>
				<disp-formula id="FD9">
				<alternatives>
				<mml:math id="M9">
<mml:mrow>
 <mml:msub>
 <mml:mrow>
 <mml:mo>log</mml:mo>
</mml:mrow>
 <mml:mrow>
 <mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
 <mml:mi>k</mml:mi><mml:mo>=</mml:mo><mml:mo stretchy='false'>(</mml:mo><mml:mo>-</mml:mo><mml:mi>E</mml:mi><mml:mo>/</mml:mo><mml:mn>2.303</mml:mn><mml:mi>R</mml:mi><mml:mi>T</mml:mi><mml:mo stretchy='false'>)</mml:mo><mml:mo>+</mml:mo><mml:msub>
 <mml:mrow>
 <mml:mo>log</mml:mo>
</mml:mrow>
 <mml:mrow>
 <mml:mn>10</mml:mn>
</mml:mrow>
</mml:msub>
 <mml:mi>A</mml:mi>
</mml:mrow>
</mml:math>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-eq9.tif"/>
				</alternatives>
</disp-formula>					
				
				<p>Where T is the reaction temperature which was expressed in &#x00B0;K and <italic>R</italic> denotes the universal gas constant. The activation energy (<italic>E</italic>) was estimated from the slope of a plot of log<sub>10</sub> <italic>k</italic> versus 1/T. The frequency factor, <italic>A</italic>, was determined from the y-intercept. The data shown in <xref ref-type="table" rid="T0007">Table 7</xref> at various reaction temperatures were used to determine the Arrhenius activation energy. An Arrhenius plot for the esterification of FFA in <italic>Oleum papaveris seminis</italic> oil at 50&#x2013;60 &#x00B0;C (323&#x2013;333&#x00B0;K) showed a straight line, obtaining the activation energy for the direct reaction as seen in <xref ref-type="fig" rid="F0007">Figure 7</xref>. A high reaction temperature was required for increasing the dissolution rate and solubility of FFA in methanol. On the other hand, at lower temperatures, the dissolution rate was slow and the solubility of FFA was also limited. In this matter, generally, the activation energies were used for describing a further reaction scenario. Based on the chemical kinetics theory, high activation energy was needed by a chemical reaction for breaking down the tetrahedral intermediate compounds to turn into the main product and by-product after those form the initial complex and transition states which consumed low activation energy. Similar work reported that the necessity of the activation energy for the esterification of FFA in sunflower oil was about 50.7 KJmol<sup>&#x2212;1</sup> (Berrios <italic>et al</italic>., <xref ref-type="bibr" rid="CIT0004">2007</xref>). However, in this study, the activation energy for the esterification of FFA in <italic>Oleum papaveris seminis</italic> oil was 60.9 KJmol<sup>&#x2212;1</sup>.</p>
				<fig id="F0007">
					<label>Figure 7</label>
					<caption>
						<p>Arrhenius plot showing the temperature dependency of reaction rate constants.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="GYA2013116_e115-0496151-g007.tif"/>
				</fig>
			</sec>
		</sec>
		<sec id="S0014" sec-type="conclusions">
			<title>4. CONCLUSIONS</title>
			<p>Optimization of the esterification process to reduce the FFA concentration in <italic>Oleum papaveris seminis</italic> oil in the presence of amberlite 120 as a solid catalyst was carried out. The various effecting parameters such as the ratio of methanol (% v/v), percentage of catalyst loading (% wt), and reaction time (min) were optimized. A design expert on response surface methodology (RSM) with the central composite rotatable design was employed to determine and evaluate the experimental work model. The optimized conditions were 102.4 min of reaction time, 44.70% v/v of methanol ratio, and 0.87% wt of catalyst loading. Then, the kinetic study on the esterification of the FFA in <italic>Oleum papaveris seminis</italic> oil with methanol was investigated at three reaction temperatures (50, 55 and 60 &#x00B0;C). The results showed that the reaction followed a first order kinetics model with reaction rate constants (<italic>k</italic>) and activation energy in the range of 0.013 to 0.027 min<sup>&#x2212;1</sup> and 60.9 KJmol<sup>&#x2212;1</sup>, respectively.</p>
		</sec>
	</body>
	<back>
		<ack>
			<title>ACKNOWLEDGEMENT</title>
			<p>The authors would like to extend their sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding of this research through the Research Group Project number RGP-VPP-048.</p>
		</ack>
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