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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Energy Res.</journal-id>
<journal-title>Frontiers in Energy Research</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Energy Res.</abbrev-journal-title>
<issn pub-type="epub">2296-598X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fenrg.2019.00058</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Energy Research</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Synthesis of Solketal Fuel Additive From Acetone and Glycerol Using CO<sub>2</sub> as Switchable Catalyst</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Nascimento</surname> <given-names>J&#x000FA;lia A. C.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/694577/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Pinto</surname> <given-names>Bianca P.</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/618086/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Calado</surname> <given-names>Ver&#x000F4;nica M. A.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/753886/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Mota</surname> <given-names>Claudio J. A.</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/595508/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Escola de Qu&#x000ED;mica, Universidade Federal do Rio de Janeiro (UFRJ)</institution>, <addr-line>Rio de Janeiro</addr-line>, <country>Brazil</country></aff>
<aff id="aff2"><sup>2</sup><institution>Instituto de Qu&#x000ED;mica, Universidade Federal do Rio de Janeiro (UFRJ)</institution>, <addr-line>Rio de Janeiro</addr-line>, <country>Brazil</country></aff>
<aff id="aff3"><sup>3</sup><institution>INCT Energia e Ambiente</institution>, <addr-line>Bahia</addr-line>, <country>Brazil</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Greeshma Gadikota, University of Wisconsin-Madison, United States</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Hui Zhou, ETH Z&#x000FC;rich, Switzerland; Deepika Malhotra, Pacific Northwest National Laboratory (DOE), United States</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Bianca P. Pinto <email>pinto.bianca&#x00040;gmail.com</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Carbon Capture, Storage, and Utilization, a section of the journal Frontiers in Energy Research</p></fn></author-notes>
<pub-date pub-type="epub">
<day>25</day>
<month>06</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="collection">
<year>2019</year>
</pub-date>
<volume>7</volume>
<elocation-id>58</elocation-id>
<history>
<date date-type="received">
<day>26</day>
<month>02</month>
<year>2019</year>
</date>
<date date-type="accepted">
<day>03</day>
<month>06</month>
<year>2019</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2019 Nascimento, Pinto, Calado and Mota.</copyright-statement>
<copyright-year>2019</copyright-year>
<copyright-holder>Nascimento, Pinto, Calado and Mota</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>The production of solketal fuel additive was studied from the reaction of glycerol and acetone in the presence of pressurized CO<sub>2</sub> as switchable catalyst. A design of experiments (DoE) was used to study the significance of temperature, initial pressure of CO<sub>2</sub>, glycerol/acetone molar ratio, and reaction time. The response variable was the glycerol conversion that was analyzed by GC-MS. Temperature, reaction time and initial pressure of CO<sub>2</sub> were statistically significant whereas the molar ratio of glycerol/acetone was not. The maximum conversion at the optimal conditions (118&#x000B0;C, 42 bar and 5 h) was 61%. Reactions with glycerol doped with common contaminants present in the glycerin of biodiesel production was also carried out. Water has a drastic effect on the conversion, as well as the concomitant addition of water and NaCl. Reactions with a glycerin of biodiesel production, using NaOH or Ba(OH)<sub>2</sub> as catalyst of transesterification, gave 6 and 20% conversion, respectively.</p></abstract>
<kwd-group>
<kwd>acetalization</kwd>
<kwd>glycerol</kwd>
<kwd>solketal</kwd>
<kwd>CO<sub>2</sub></kwd>
<kwd>switchable catalyst</kwd>
<kwd>design of experiments</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="2"/>
<equation-count count="1"/>
<ref-count count="23"/>
<page-count count="6"/>
<word-count count="4068"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>The utilization of biofuels is expanding because of the environmental impact caused by the massive use of fossil fuels and emissions of carbon dioxide in the atmosphere. Biodiesel is one of the main biofuels used worldwide (Andrade et al., <xref ref-type="bibr" rid="B1">2005</xref>). It is mainly produced by the transesterification of oils and fats, which produce glycerol as byproduct. The widespread consumption of biodiesel has reduced the price of glycerol, which is produced in &#x0007E;10 wt% in the transesterification of vegetable oils to afford the biodiesel. Glycerol is used in a variety of applications such as surfactants, emulsifiers, solvents, humectants, lubricants, and cosmetics. Nevertheless, these applications cannot drain the large amounts of glycerol being produced today (Pinto and Mota, <xref ref-type="bibr" rid="B18">2014</xref>; Pinto et al., <xref ref-type="bibr" rid="B17">2017</xref>).</p>
<p>The chemical transformation of glycerol into more valuable products has been extensively studied. Etherification of glycerol with different alcohols has been reported to yield potential oxygenated fuel additives (Klep&#x000E1;&#x0010D;ov&#x000E1; et al., <xref ref-type="bibr" rid="B10">2003</xref>; Mota et al., <xref ref-type="bibr" rid="B12">2009</xref>; Pinto et al., <xref ref-type="bibr" rid="B19">2016</xref>). The acid-catalyzed reaction of glycerol with isobutene generates tert-butyl-glyceryl ethers, which can be used as bioadditives (Klepacova et al., <xref ref-type="bibr" rid="B11">2005</xref>). Propene can be produced from the selective hydrogenolysis of glycerol over supported metal catalysts (Mota et al., <xref ref-type="bibr" rid="B14">2016</xref>). Glycerol carbonate can be produced through the carbonation of glycerol with CO<sub>2</sub> over metal oxide catalysts (Guerra et al., <xref ref-type="bibr" rid="B8">2015</xref>). Oxidative dehydration of glycerol to acrylic acid has been studied over vanadium-impregnated zeolite Beta (Pestana et al., <xref ref-type="bibr" rid="B16">2013</xref>). Acetylation of glycerol with acetic acid or acetic anhydride yield the acetins, which are also potential fuel additives (Gon&#x000E7;alves et al., <xref ref-type="bibr" rid="B7">2008</xref>; Dodson et al., <xref ref-type="bibr" rid="B5">2014a</xref>,<xref ref-type="bibr" rid="B6">b</xref>).</p>
<p>The acetalization/ketalization of glycerol has been studied under different conditions and catalysts (da Silva et al., <xref ref-type="bibr" rid="B2">2009</xref> and Oliveira et al., <xref ref-type="bibr" rid="B15">2016</xref>). Solketal, the product of the acid-catalyzed reaction of glycerol with acetone, has proven to be a good additive for gasoline, improving the octane number and reducing gum formation (Mota et al., <xref ref-type="bibr" rid="B13">2010</xref>; Silva et al., <xref ref-type="bibr" rid="B21">2010</xref>). Nevertheless, the use of crude glycerol, with impurities coming from the biodiesel production process, significantly affects the activity of the catalysts (da Silva and Mota, <xref ref-type="bibr" rid="B3">2011</xref>), requiring purification steps, which may impact the final costs.</p>
<p>The most common catalysts used in the acetalization of glycerol are acid heterogeneous catalysts. Solid acids deactivate when impure glycerin is used (da Silva and Mota, <xref ref-type="bibr" rid="B3">2011</xref>). Besides that, heterogeneous catalysts present many disadvantages: final disposal problems when life cycle is over, difficult to study, due to its complex structure, most of them are highly expensive and some of them are oil derivatives. Thus, CO<sub>2</sub> appears to be the most suitable choice in a green chemistry context, as it is low cost (can be captured from the atmosphere), it is easily recovered from the reaction medium and can be reused.</p>
<p>There is a continuous interest in CO<sub>2</sub> utilization owing to the environmental impacts that its emission causes in the atmosphere. The dry reforming of methane has been widely investigated, as it converts two greenhouse gases (Valderrama et al., <xref ref-type="bibr" rid="B23">2013</xref>). Hydrocarbons can be produced from CO<sub>2</sub> by combining the reverse water gas shift and Fischer-Tropsch synthesis (Dimitriou et al., <xref ref-type="bibr" rid="B4">2015</xref>). CO<sub>2</sub> is also a raw material for the production of carbonates, like methyl carbonate, ethylene carbonate and glycerol carbonate. High pressure CO<sub>2</sub>-H<sub>2</sub>O has been used in the valorization of lignocellulosic and starch-based biomass to produce chemicals and other value-added products (Relvas et al., <xref ref-type="bibr" rid="B20">2015</xref>). CO<sub>2</sub> has been used as a catalyst for the reaction of amines and NO<sub>2</sub> to produce nitrosamine (Sun et al., <xref ref-type="bibr" rid="B22">2011</xref>).</p>
<p>It is known that a compressible gas dissolved in an organic solvent can be converted in a new liquid compound with different properties (Herrero et al., <xref ref-type="bibr" rid="B9">2017</xref>). For this reason, it is acceptable to think that CO<sub>2</sub> dissolved in alcohols, at high pressures, can be converted in carbonic acids in a reversible way. Thus, acid-catalyzed reactions can be potentially carried out in these medium, with the concept of switchable catalysts. Upon pressurizing the reactants with CO<sub>2</sub>, an acidic medium is formed through the formation of carbonic acids. After reaction and pressure release, the carbonic acid is decomposed yielding only the products and non-converted reactants.</p>
<p>There are many studies reporting the use of heterogeneous acid catalysts for the production of solketal. Nevertheless, many of them are quite expensive or produced from fossil sources. In addition, they are highly affected if crude glycerin of biodiesel production is used as feedstock, because the main impurities present in the glycerol phase deactivate the acid catalysts (da Silva and Mota, <xref ref-type="bibr" rid="B3">2011</xref>). Therefore, the use of CO<sub>2</sub> as a switchable catalyst may be an option, due to its easily recovery from the reaction medium for reuse and the possibility of neutralizing any hydroxide base present in the glycerol. In this contribution, we wish to report the use of CO<sub>2</sub> as switchable catalyst in the reaction of glycerol with acetone to produce solketal (<xref ref-type="scheme" rid="S1">Scheme 1</xref>).</p>
<fig id="S1" position="float">
<label>Scheme 1</label>
<caption><p>Reaction of glycerol with acetone with pressurized CO<sub>2</sub> as an acid catalyst.</p></caption>
<graphic xlink:href="fenrg-07-00058-g0003.tif"/>
</fig>
</sec>
<sec sec-type="materials and methods" id="s2">
<title>Materials and Methods</title>
<sec>
<title>Experimental Procedure</title>
<sec>
<title>Pure Glycerol Experimental Tests</title>
<p>Glycerol 99.5% Vetec&#x000AE; and acetone 99.9% Vetec&#x000AE; were introduced in a 100 mL Parr&#x000AE; reactor that was mechanically stirred at 500 rpm to ensure a good mixing of reactants. The system was then pressurized with CO<sub>2</sub> and heated to the desired temperature. At the end, the pressure was released and the products were analyzed by GC-MS to obtain the glycerol conversion. Blank reactions of glycerol with acetone under N<sub>2</sub> pressure were also carried out for comparison purpose.</p>
</sec>
<sec>
<title>Doped Glycerol Experimental Tests</title>
<p>Glycerol Vetec&#x000AE;, acetone Vetec&#x000AE;, and contaminants (Methanol Vetec&#x000AE;, water and NaCl Vetec&#x000AE;) were introduced in a 100 mL Parr&#x000AE; reactor that was mechanically stirred at 500 rpm to ensure a good mixing of reactants. The system was then pressurized with CO<sub>2</sub> and heated to the desired temperature. At the end, the pressure was released and the products were analyzed by GC-MS to obtain the glycerol conversion. Experiments with doped and crude glycerin were carried out at the optimum condition found in the previous analysis. The content of the contaminants refers to the amount of glycerol in the system.</p>
</sec>
<sec>
<title>Biodiesel Production</title>
<p>Soybean oil transesterification was performed to obtain crude glycerin. Soybean oil was added to a stirred reactor and heated to 60&#x000B0;C. A methanol/NaOH solution was then added to the reactor (a mixture of 1 g of NaOH Vetec&#x000AE; and 35 mL of methanol, for each 100 mL of oil used). After 40 min of vigorous stirring (1,500 rpm), the reaction was then stopped and settled to decant to separate the two phases. The excess of methanol was removed from the glycerin phase under reduced pressure in a rotary evaporator and used in the solketal production.</p>
<p>It was also obtained crude glycerin from the transesterification of soybean oil with methanol catalyzed by Ba(OH)<sub>2</sub> Vetec&#x000AE;. Ba(OH)<sub>2</sub> was heated to 100&#x000B0;C (10&#x000B0;C/min). The pre-heated solid was then added to a glass reactor containing soybean oil and Methanol, considering 1:6 molar ratio and 2% m/m of catalyst. The mixture was heated to 60&#x000B0;C. After 90 min of vigorous stirring (1,500 rpm), the reaction was then stopped and settled to decant to separate the two phases. The excess of methanol was removed from the glycerin phase under reduced pressure in a rotary evaporator and used in the solketal production.</p>
</sec>
</sec>
<sec>
<title>Product Analysis</title>
<p>Glycerol conversion and solketal production was obtained with the aid of an Agilent 6850 gas chromatograph coupled to an Agilent 5973 mass quadrupole spectrometer, operating in electron impact ionization (70 eV) and using a column of methyl-phenyl-silicone (30 m &#x000D7; 250 &#x003BC;m &#x000D7; 0.25 &#x003BC;m.). Analyses were carried out with the temperature increasing from 30 to 120&#x000B0;C (with a slope of 10&#x000B0;C/min). The results were computed considering the average of two injections.</p>
</sec>
<sec>
<title>Experimental Design</title>
<p>In order to first identify the important factors affecting the reaction, a factorial design 2<sup>4</sup> with three central points was used. The factors studied were temperature, reaction time, initial CO<sub>2</sub> pressure and glycerol/acetone molar ratio, whose levels were, respectively, 80&#x02013;110&#x000B0;C, 2&#x02013;4 h, 20&#x02013;45 bar, and 1:2&#x02013;1:5. By applying the analysis of variance (ANOVA), the statistically significant factors were identified and a search for a region where the conversion is maximum was done by using the steepest ascent method. After that, a central composite design was performed and the optimum factor levels were found where the conversion reached a maximum value.</p>
</sec>
</sec>

<sec id="s3">
<title>Results and Discussion</title>
<sec>
<title>Optimization of the Reaction Conditions</title>
<p>Because pressure and temperature would act in opposite directions in the experiments of solketal production with CO<sub>2</sub> was switchable catalyst, we decided to carry out a design of experiments (DoE) to assess which parameter would be the most important. Increasing temperature would accelerate the reaction, although it would decrease the solubility of CO<sub>2</sub> in the medium. On the other hand, higher pressures would favor the dissolution of CO<sub>2</sub>, although not having a great impact in the reaction rate. An analysis of variance (ANOVA) showed that the molar ratio was the only factor non-statistically significant (<xref ref-type="supplementary-material" rid="SM1">Supplementary Material</xref>). Thus, a 1:2 glycerol/acetone molar ratio was chosen to run the next experiments to search a region where the glycerol conversion was maximum. This region was 100&#x02013;130&#x000B0;C, 30.5&#x02013;55.5 bar, and 3.2&#x02013;5.2 h, for temperature, pressure and time, respectively. After that, a central composite design was performed and the optimum factor levels were found, where the conversion reached a maximum value. The results are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Results of the Central Composite Design.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Temperature (<bold>&#x000B0;</bold>C)</bold></th>
<th valign="top" align="center"><bold>Time (h)</bold></th>
<th valign="top" align="center"><bold>Initial pressure (bar)</bold></th>
<th valign="top" align="center"><bold>Glycerol conversion (%)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">100</td>
<td valign="top" align="center">3.2</td>
<td valign="top" align="center">30.5</td>
<td valign="top" align="center">51.1</td>
</tr>
<tr>
<td valign="top" align="left">130</td>
<td valign="top" align="center">3.2</td>
<td valign="top" align="center">30.5</td>
<td valign="top" align="center">53.8</td>
</tr>
<tr>
<td valign="top" align="left">100</td>
<td valign="top" align="center">5.2</td>
<td valign="top" align="center">30.5</td>
<td valign="top" align="center">53.9</td>
</tr>
<tr>
<td valign="top" align="left">130</td>
<td valign="top" align="center">5.2</td>
<td valign="top" align="center">30.5</td>
<td valign="top" align="center">58.7</td>
</tr>
<tr>
<td valign="top" align="left">100</td>
<td valign="top" align="center">3.2</td>
<td valign="top" align="center">55.5</td>
<td valign="top" align="center">55.0</td>
</tr>
<tr>
<td valign="top" align="left">130</td>
<td valign="top" align="center">3.2</td>
<td valign="top" align="center">55.5</td>
<td valign="top" align="center">54.8</td>
</tr>
<tr>
<td valign="top" align="left">100</td>
<td valign="top" align="center">5.2</td>
<td valign="top" align="center">55.5</td>
<td valign="top" align="center">57.2</td>
</tr>
<tr>
<td valign="top" align="left">130</td>
<td valign="top" align="center">5.2</td>
<td valign="top" align="center">55.5</td>
<td valign="top" align="center">56.0</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">22</td>
<td valign="top" align="center">52.9</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">52.6</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">2.5</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">54.1</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">5.9</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">59.2</td>
</tr>
<tr>
<td valign="top" align="left">90</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">53.9</td>
</tr>
<tr>
<td valign="top" align="left">140</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">54.7</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">55.5</td>
<td valign="top" align="center">59.7</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">60.6</td>
</tr>
<tr>
<td valign="top" align="left">115</td>
<td valign="top" align="center">4.2</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">58.8</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Upon the analysis of the ANOVA data (<xref ref-type="supplementary-material" rid="SM1">Supplementary Material</xref>), one can conclude that only the quadratic terms of pressure and temperature and the linear term of time are statistically relevant, considering 5% of significant level. The quadratic term of time and the interaction term between pressure and temperature were marginally significant (0.05 &#x0003C; <italic>p</italic>-level &#x02264; 0.1). The most important factor was the quadratic initial pressure, followed by the quadratic temperature and linear time.</p>
<p>The mathematical model, in terms of the original variables, is given by Equation (1), considering all terms, as the coefficient of determination (<italic>R</italic><sup>2</sup>) obtained was 0.94; the residuals are normal and the variance is homogeneous. The parameter standard deviations were at least one order of magnitude lower than the respective parameter values, as it needs to be.</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mtable columnalign='left'><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mrow><mml:mi>G</mml:mi><mml:mi>l</mml:mi><mml:mi>y</mml:mi><mml:mi>c</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>o</mml:mi><mml:mi>l</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:mi>C</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>v</mml:mi><mml:mi>e</mml:mi><mml:mi>r</mml:mi><mml:mi>s</mml:mi><mml:mi>i</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi></mml:mrow><mml:mo>=</mml:mo><mml:mrow><mml:mo>&#x02212;</mml:mo><mml:mn>131.083</mml:mn><mml:mo>+</mml:mo><mml:mn>2.159</mml:mn><mml:msup><mml:mi>P</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>&#x02212;</mml:mo><mml:mn>0.015</mml:mn><mml:mi>P</mml:mi><mml:mo>+</mml:mo><mml:mn>10.013</mml:mn><mml:mi>t</mml:mi></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mrow><mml:mn>0.919</mml:mn><mml:msup><mml:mi>t</mml:mi><mml:mn>2</mml:mn></mml:msup><mml:mo>+</mml:mo><mml:mn>2.046</mml:mn><mml:mi>T</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>0.008</mml:mn><mml:msup><mml:mi>T</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mtd></mml:mtr><mml:mtr columnalign='left'><mml:mtd columnalign='left'><mml:mtext>&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;&#x000A0;</mml:mtext><mml:mo>&#x02212;</mml:mo><mml:mrow><mml:mn>0.043</mml:mn><mml:mi>P</mml:mi><mml:mi>t</mml:mi><mml:mo>&#x02212;</mml:mo><mml:mn>0.006</mml:mn><mml:mi>P</mml:mi><mml:mi>T</mml:mi><mml:mo>+</mml:mo><mml:mn>0.009</mml:mn><mml:mi>t</mml:mi><mml:mi>T</mml:mi></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The surface and contour plots are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Response Surface of time against initial pressure <bold>(A)</bold>; temperature against initial pressure <bold>(B)</bold> and temperature against time <bold>(C)</bold>.</p></caption>
<graphic xlink:href="fenrg-07-00058-g0001.tif"/>
</fig>
<p>By analyzing the three curves, it is possible to see that the glycerol conversion reaches a maximum of 60.2%, at 42.2 bar, 5.0 h and 118&#x000B0;C of initial pressure, time and temperature, respectively. Experimental tests at these optimal conditions were carried out with two replicates and the glycerol conversion was 60.6% &#x000B1; 1.2, consistent with the predicted value. This result is lower than the values found with heterogeneous catalysts, such as Amberlyst-15, zeolite Beta and Montmorillonite (da Silva et al., <xref ref-type="bibr" rid="B2">2009</xref>). The explanation is associated with the strength of the acid catalyst. Whereas Amberlyst-15 and zeolite Beta present strength similar to concentrated solutions of H<sub>2</sub>SO<sub>4</sub> (Mota et al., <xref ref-type="bibr" rid="B14">2016</xref>), carbonic acid derivatives are significantly weaker.</p>
</sec>
<sec>
<title>Influence of Impurities</title>
<p>We have shown (da Silva and Mota, <xref ref-type="bibr" rid="B3">2011</xref>) that glycerol containing common contaminants of biodiesel production, such as methanol coming from incomplete distillation, NaCl formed upon the neutralization of the base catalyst and water may significantly affect the conversion of the acid-catalyzed ketalization to yield solketal, due to neutralization or weakening of the acid strength. On the other hand, excessive purification of the glycerol would increase the costs. Since the formed carbonic acid may be less affected by the presence of these impurities, we decided to test glycerol doped with given amounts of water, methanol and NaCl to check the influence on the conversion to solketal.</p>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> shows the results at the optimized reaction conditions of 42 bar, 5 h and 118&#x000B0;C for different composition of glycerol doped with the most common impurities found the glycerol of biodiesel production. The addition of methanol slightly decreases the conversion, especially with 5% of this compound. This is probably because this alcohol may react with acetone to form ketals too. Water has a more pronounced effect on the conversion. Addition of 15 wt% of water drops the conversion to 32%. The results can be explained by the fact that ketalization is a reversible reaction and water is formed as product. Thus, when water is present in the medium, the equilibrium may be shifted and lower conversions are observed. Another possible explanation is that water may interact with the formed carbonic acid through hydrogen bonds, which ultimately leads to the stabilization of the species and decrease of the catalytic activity. On the other hand, the addition of 5% of NaCl did not affect the conversion, whereas 10% of salt increases the glycerol conversion to 70%. Probably, the dissociated salt can be partially converted in HCl, and this acid can also show some catalytic activity, increasing the overall conversion.</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>Results of the tests with doped glycerin.</p></caption>
<graphic xlink:href="fenrg-07-00058-g0002.tif"/>
</fig>
<p>The simultaneous addition of methanol and water leads to a conversion of 41%, which stress the predominant effect of water on the conversion, since the value is almost the same when water was added to glycerol. The simultaneous addition of water and NaCl have a great impact on the conversion, which decreases to around 30%. Besides the effect of the water on the equilibrium of the reaction, the significant decrease in the conversion indicates a more complex behavior of the system. A possible explanation is the solvation of the NaCl by glycerol and water molecules, which would decrease its reactivity. Nevertheless, the present data cannot clearly explain the results found when water and NaCl are added to the medium to simulate the behavior of the glycerin from biodiesel production. It is worthy to mention that the same trend was observed with the use of Amberlyst-15 and zeolite Beta as catalyst (da Silva and Mota, <xref ref-type="bibr" rid="B3">2011</xref>). Even with the use of pressurized CO<sub>2</sub>, the impurities, mainly water and NaCl, greatly affect the conversion, indicating that some purification of the glycerin of biodiesel production is necessary.</p>
<p>We also tested the crude glycerin obtained from biodiesel production, using NaOH or Ba(OH)<sub>2</sub> as catalysts. The idea was to pressurize the system with CO<sub>2</sub> to form the respective carbonate. The excess CO<sub>2</sub> would catalyze the reaction of glycerol with acetone upon the formation of carbonic acid. The conversion was 6% for the glycerin containing NaOH and 20% for the glycerin containing Ba(OH)<sub>2</sub> (<xref ref-type="table" rid="T2">Table 2</xref>). In both experiments, there was formation of the respective carbonates. Since barium carbonate is less soluble in the reaction medium than sodium carbonate and it precipitated during the reaction. These results indicate that the presence of dissolved salts affects the reaction, probably because of the role of the glycerol molecule in solvation the ions. Hence, the higher conversion observed for the glycerin containing Ba(OH)<sub>2</sub> may be explained by the precipitation of BaCO<sub>3</sub>.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Crude glycerol conversion.</p></caption>
<table frame="hsides" rules="groups">
<thead><tr>
<th valign="top" align="left"><bold>Catalyst used on biodiesel production</bold></th>
<th valign="top" align="center"><bold>Glycerol conversion (%)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">NaOH</td>
<td valign="top" align="center">6</td>
</tr>
<tr>
<td valign="top" align="left">Ba(OH)<sub>2</sub></td>
<td valign="top" align="center">20</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Although the absolute conversion was still low (20%), the experiment indicated that crude glycerin of biodiesel production could be transformed in a valuable fuel additive without any further purification.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="s4">
<title>Conclusions</title>
<p>The reaction of glycerol with acetone was carried out with pressurized CO<sub>2</sub> as switchable catalyst. A DoE showed that temperature, reaction time and initial pressure of CO<sub>2</sub> are significant factors and have positive influence in the reaction. The maximum conversion of 61% was obtained at 118&#x000B0;C, 42 bar and 5 h reaction time, as predicted in the DoE. This value was lower than the conversions observed in the literature with the use of other heterogeneous catalysts, such as Amberlyst-15 and zeolite Beta, and ascribed to the weaker acid strength of the formed carbonic acid.</p>
<p>Experiments with glycerol doped with methanol, NaCl and water, which are found in the glycerin of biodiesel production, showed that water and water plus NaCl have a major effect in the conversion. Reactions with the glycerin from biodiesel production, containing NaOH or Ba(OH)<sub>2</sub>, without any purification or treatment gave conversion up to 20%. The results were interpreted in terms of formation of the respective carbonate that remains, at least partly, dissolved in the medium.</p>
</sec>
<sec id="s5">
<title>Data Availability</title>
<p>All datasets generated for this study are included in the manuscript and/or the <xref ref-type="supplementary-material" rid="SM1">Supplementary Files</xref>.</p>
</sec>
<sec id="s6">
<title>Author Contributions</title>
<p>BP, JN, VC, and CM contributed to the conception and design of the study. JN was the researcher who carried out the laboratory work. JN and BP organized the database. JN and VC performed the statistical analysis. JN wrote the first draft of the manuscript. BP, JN, VC, and CM wrote sections of the manuscript. All authors contributed to manuscript revision, read and approved the submitted version.</p>
<sec>
<title>Conflict of Interest Statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<sec sec-type="supplementary-material" id="s7">
<title>Supplementary Material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fenrg.2019.00058/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fenrg.2019.00058/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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<fn-group>
<fn fn-type="financial-disclosure"><p><bold>Funding.</bold> Authors thank CNPq, Capes, and Faperj for financial support.</p>
</fn>
</fn-group>
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</article>