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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">MC</journal-id>
			<journal-title-group>
				<journal-title>Materiales de Construcci&#x00F3;n</journal-title>
			</journal-title-group>
			<issn pub-type="epub">0465-2746</issn>
			<publisher>
				<publisher-name>Consejo Superior de Investigaciones Cientificas</publisher-name>
			</publisher>
		</journal-meta>
		<article-meta>
			<article-id pub-id-type="publisher-id">MC201312_e014-05213</article-id>
			<article-id pub-id-type="doi">10.3989/mc.2014.05213</article-id>
			<article-categories>
				<subj-group subj-group-type="heading">
					<subject>Articles</subject>
				</subj-group>
			</article-categories>
			<title-group>
				<article-title>Sodium silicate solutions from dissolution of glass wastes. Statistical analysis</article-title>
				<trans-title-group xml:lang="es">
					<trans-title>Disoluciones de silicato s&#x00F3;dico procedentes del tratamiento de residuos v&#x00ED;treos Estudio estad&#x00ED;stico</trans-title>
				</trans-title-group>
				<alt-title alt-title-type="running-head">Sodium silicate solutions from dissolution of glass wastes. Statistical analysis</alt-title>
			</title-group>
			<contrib-group>
				<contrib contrib-type="author" corresp="yes">
					<name>
						<surname>Torres-Carrasco</surname>
						<given-names>M.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
					<xref ref-type="corresp" rid="cor1">&#x002A;</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Palomo</surname>
						<given-names>J.G.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0002">b</xref>
				</contrib>
				<contrib contrib-type="author">
					<name>
						<surname>Puertas</surname>
						<given-names>F.</given-names>
					</name>
					<xref ref-type="aff" rid="AF0001">a</xref>
				</contrib>
			</contrib-group>
			<aff id="AF0001">
				<label>a</label>Eduardo Torroja Institute for Construction Sciences (IETcc-CSIC) (Madrid, Spain)</aff>
			<aff id="AF0002">
				<label>b</label>School of Building Engineering (EUATM-UPM) (Madrid, Spain)</aff>
			<author-notes>
				<corresp id="cor1">
					<label>&#x002A;</label>
					<email xlink:href="mtorres@ietcc.csic.es">mtorres@ietcc.csic.es</email>
				</corresp>
			</author-notes>
			<pub-date pub-type="epub">
				<day>30</day>
				<month>06</month>
				<year>2014</year>
			</pub-date>
			<pub-date pub-type="collection">
				<year>2014</year>
			</pub-date>
			<volume>64</volume>
			<issue>314</issue>
			<elocation-id content-type="doi">10.3989/mc.2014.05213</elocation-id>
			<history>
				<date date-type="received">
					<day>04</day>
					<month>07</month>
					<year>2013</year>
				</date>
				<date date-type="accepted">
					<day>09</day>
					<month>12</month>
					<year>2013</year>
				</date>
				<date date-type="Available on line">
					<day>05</day>
					<month>05</month>
					<year>2014</year>
				</date>
			</history>
			<permissions>
				<copyright-statement>&#x00A9; 2014 CSIC</copyright-statement>
				<copyright-year>2014</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>ABSTRACT</title>
				<p>It has studied the solubility process of four different waste glasses (with different particle sizes, &#x003C;45 &#x00B5;m and &#x003E; 125 &#x00B5;m) in alkaline solutions (NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub>) and water as a reference and under different conditions of solubility (at room temperature, at 80&#x00B0;C and a mechano-chemical process). Have established the optimal conditions of solubility and generation of sodium silicates solutions, and these were: the smaller particle size (&#x003C;45 &#x00B5;m), with NaOH/Na<sub>2</sub>CO<sub>3</sub> solution and with temperature during 6 hours of stirring time. The statistical analyses of the results give importance to the studied variables and the interactions. Through <sup>29</sup>Si NMR MAS it has confirmed the formation after dissolution processes of monomeric silicate, suitable for use as an activator in the preparation of alkaline cements and concretes.</p>
			</abstract>
			<trans-abstract xml:lang="es">
				<title>RESUMEN</title>
				<p>
					<italic>Disoluciones de silicato s&#x00F3;dico procedentes del tratamiento de residuos v&#x00ED;treos Estudio estad&#x00ED;stico</italic>. Se ha estudiado el proceso de solubilidad de cuatro diferentes residuos v&#x00ED;treos (con distintas granulometr&#x00ED;as, &#x003C;45 &#x00B5;m y &#x003E;125 &#x00B5;m) en disoluciones alcalinas de NaOH y NaOH/Na<sub>2</sub>CO<sub>3</sub> y agua como medio de referencia y bajo distintas condiciones de solubilidad (a temperatura ambiente, a 80&#x00B0;C y con un proceso mecano-qu&#x00ED;mico). Se han establecido las condiciones &#x00F3;ptimas de solubilidad y generaci&#x00F3;n de disoluciones de silicato s&#x00F3;dico, y estas son: menor tama&#x00F1;o de part&#x00ED;cula del residuo v&#x00ED;treo (inferior a 45 &#x00B5;m), con la disoluci&#x00F3;n de NaOH/Na<sub>2</sub>CO<sub>3</sub> y tratamiento t&#x00E9;rmico a 80&#x00B0;C durante 6 horas de agitaci&#x00F3;n. El an&#x00E1;lisis estad&#x00ED;stico realizado a los resultados obtenidos da importancia a las variables estudiadas y a las interacciones de las mismas. A trav&#x00E9;s de <sup>29</sup>Si RMN MAS se ha confirmado la formaci&#x00F3;n, tras los procesos de disoluci&#x00F3;n, de un silicato monom&#x00E9;rico, apto para su utilizaci&#x00F3;n como activador en la preparaci&#x00F3;n de cementos y hormigones alcalinos.</p>
			</trans-abstract>
			<kwd-group xml:lang="en">
				<title>KEYWORDS</title>
				<kwd>Waste glass</kwd>
				<kwd>Alkaline cements</kwd>
				<kwd>Solubility</kwd>
				<kwd>Sodium silicate hydrates (waterglass)</kwd>
				<kwd>Alkaline activators</kwd>
			</kwd-group>
			<kwd-group xml:lang="es">
				<title>PALABRAS CLAVE</title>
				<kwd>Residuos v&#x00ED;treos</kwd>
				<kwd>Cementos alcalinos</kwd>
				<kwd>Solubilidad</kwd>
				<kwd>Silicatos s&#x00F3;dico hidratados (waterglass)</kwd>
				<kwd>Activadores alcalinos</kwd>
			</kwd-group>
		</article-meta>
	</front>
	<body>
		<sec id="S0001" sec-type="intro">
			<title>1. INTRODUCTION</title>
			<p>The amount of urban and industrial waste has increased the world over in the last few decades. In the late twentieth century, urban waste was treated primarily in incineration plants, a technology that raised serious environmental problems, primarily associated with the emission of carbon dioxide and toxic particles. This situation led to the implementation of waste management and sorting policies in most highly developed countries. Hence the importance attached to recycling and valorization of all manner of industrial waste and by-products, to enhance environmental protection.</p>
			<p>Waste glass collection and management are increasingly common elements of environmental policy in the developed world. In 1994, approximately 9.2 million metric tons of postconsumer glass was discharged in the municipal waste stream in the United States. Approximately 8.1 million metric tons or 80% of this waste glass was container glass (<xref ref-type="bibr" rid="CIT0001">1</xref>, <xref ref-type="bibr" rid="CIT0002">2</xref>). In Hong Kong, there are 44 000 t of waste glass generated from domestic sources per year. In addition, there are 20 000 t of waste glass annually generated from commercial sources. Of the total 64 000 t of waste glass, only about 8000 t are recycled and reused although about 50 000 t of waste glass are technically recoverable (<xref ref-type="bibr" rid="CIT0003">3</xref>). In Spain, a total of 712 t of glass containers or 15.1 kg of glass waste per inhabitant were deposited in street-side bins in 2010 (<xref ref-type="bibr" rid="CIT0004">4</xref>). This statistic is encouraging, bearing in mind that glass container consumption has declined by 5.7% in recent years. In that same year, a further 2 240 kg were taken from sorting plants, the second source of glass waste after street-side bins (<xref ref-type="bibr" rid="CIT0004">4</xref>). Moreover, many of these waste glasses are currently disposed of at the landfills which are being filled much faster than expected. If the current trend of waste generation and disposal continues, our landfills will be exhausted by 2015.</p>
			<p>Glass comes in many shapes: as bottles, flasks or glazing for windows; flat or round; coloured or clear; and with or without ceramic or metal coating. Since its service life is nearly always very short despite its shape, it is typically reused or recycled. Glass waste must meet a series of requirements for reuse in the manufacture of other glass articles, however. The tendency is to collect and sort urban and industrial glass waste by type. Even so, the wide variety of materials and chemical compositions involved renders its reuse by conventional technological processes highly complex. As a result, from 10 to 30% of glass waste is not recyclable for these purposes and alternative valorisation pathways must be sought. All the existing technologies for recycling mixed glass waste involve crushing. The fragments obtained (1&#x2013;8 mm fraction), blended in the form of powder (scantly reusable in glass manufacture), can be reused in construction in the following applications:<list list-type="order">
					<list-item>
						<p>as pozzolanic additions to prepare Portland cements (<xref ref-type="bibr" rid="CIT0005">5</xref>)</p>
					</list-item>
					<list-item>
						<p>in the preparation of vitroceramic composites together with other industrial waste or by-products, such as fly ash, slag and ceramic discards (<xref ref-type="bibr" rid="CIT0006">6</xref>, <xref ref-type="bibr" rid="CIT0007">7</xref>)</p>
					</list-item>
					<list-item>
						<p>in the preparation of composites with a polymer matrix (vehicle and pedestrian pavements) (<xref ref-type="bibr" rid="CIT0008">8</xref>)</p>
					</list-item>
					<list-item>
						<p>as the main component in the production of foam glass for thermal insulating materials (<xref ref-type="bibr" rid="CIT0009">9</xref>)</p>
					</list-item>
					<list-item>
						<p>as a prime material for synthesizing solid sodium silicates or purified silica.</p>
					</list-item>
				</list>
			</p>
			<p>The fifth application, addressed here, has been scantly studied. Very recent research by the authors (<xref ref-type="bibr" rid="CIT0010">10</xref>, <xref ref-type="bibr" rid="CIT0011">11</xref>) has shown that sodium silicate-based urban glass waste may serve as an active component in the preparation of alkali-activated slag or fly ash cements. Moreover, the construction industry is presently very keen on developing new cements and construction materials, whose manufacture would be less energy-intensive and entail the emission of less polluting gas (primarily CO<sub>2</sub>) than conventional Portland cement manufacture. These cements are obtained by mixing amorphous silico-aluminates such as blast furnace slag, fly ash, metakaolin or volcanic rock, or blends of two or three of these materials, with highly alkaline solutions (NaOH, Na<sub>2</sub>CO<sub>3</sub> or alkaline silicate hydrates) (<xref ref-type="bibr" rid="CIT0012">12</xref>&#x2013;<xref ref-type="bibr" rid="CIT0018">18</xref>). Inorganic polymer binders provide an alternative to traditional cements up to 80% less CO<sub>2</sub> emissions, and are derived from industrial waste materials (<xref ref-type="bibr" rid="CIT0019">19</xref>, <xref ref-type="bibr" rid="CIT0020">20</xref>).</p>
			<p>Prior studies (<xref ref-type="bibr" rid="CIT0021">21</xref>) showed that the predominant factor in the strength of these alkaline cements was the nature of the alkaline activator. Sodium silicate hydrate (waterglass) proved to be most effective. Bearing in mind that urban glass waste is an amorphous material whose chemical composition includes SiO<sub>2</sub> (65&#x2013;75%), CaO (6&#x2013;12%), Na<sub>2</sub>O (12&#x2013;15%), Al<sub>2</sub>O<sub>3</sub> (0.5&#x2013;5%) and Fe<sub>2</sub>O<sub>3</sub> (0.1&#x2013;3%), it may be regarded as a potential (waterglass family) alkaline activator for blast furnace slag, fly ash or other aluminosilicates.</p>
			<p>Soluble sodium silicates have been used in industry for a wide variety of applications. The raw materials for sodium silicate manufacture are soda ash and sand. Heated to 1100&#x2013;1200&#x00B0;C, the materials fuse and a glass forms upon cooling. This glass sold as anhydrous powder or dissolved in water at the manufacturing plant. The resulting solution, also known as &#x201C;waterglass&#x201D;, may be sold as it is, or it may be causticized to form more alkaline solutions (<xref ref-type="bibr" rid="CIT0022">22</xref>). Therefore, the process of synthesis of waterglass is costly and entails negative environmental effects because is necessary to reach high temperatures in the decarbonation of Na<sub>2</sub>CO<sub>3</sub>.</p>
			<p>In regard to the chemistry of silica, there are numerous studies concerning the solubility of silico-aluminous materials, polymerization, colloidal and surface properties, etc (<xref ref-type="bibr" rid="CIT0023">23</xref>). Key features of the glass, along with transparence, is the high chemical resistance. Due to its good qualities, always takes place more or less interaction between the glass and chemicals. Glasses are attacked in both aqueous acid and alkaline solutions, although the mechanisms of attack and the degree of corrosion are different in each case (<xref ref-type="bibr" rid="CIT0024">24</xref>). Apparently, the solubility of these glass materials is high when the pH values are high (<xref ref-type="bibr" rid="CIT0025">25</xref>&#x2013;<xref ref-type="bibr" rid="CIT0027">27</xref>). From pH 9 to 10.7, there is an apparent increase in the solubility of amorphous silica, owing to the formation of silicate ion in addition to the monomer which is in equilibrium with the solid phase. Above pH 10.7, all the solid phase of amorphous silica dissolves to form soluble silicate, since at higher pH the concentration of Si (OH)<sub>4</sub> is greatly lowered by conversion to ionic species, so that no amorphous solid can remain in equilibrium. Moreover, the effect of temperature was also studied on the solubility of glass (<xref ref-type="bibr" rid="CIT0027">27</xref>, <xref ref-type="bibr" rid="CIT0028">28</xref>), where an increase in the temperature favors the dissolution of the waste glass.</p>
			<p>The objective of this paper is to study the possibility to generate solutions of sodium silicates (as potential waterglass solutions) by the solubility of different types of waste glass. Three for different dissolution processes have been applied: at room temperature (22&#x00B0;C &#x00B1; 2&#x00B0;C), at 80&#x00B0; &#x00B1; 2&#x00B0;C and by mechano-chemical ones. The final goal is to establish the optimal solubility conditions to see in further studies the feasibility of the use of waste glass as potential alkaline activators of materials such as slag or fly ash.</p>
		</sec>
		<sec id="S0002">
			<title>2. EXPERIMENTAL PROGRAM</title>
			<sec id="S20003">
				<title>2.1. Materials and their characterisation</title>
				<p>Four types of pre-management glass waste were chosen: clear, green, brown and mixed. These materials were characterised with the following techniques:</p>
				<list list-type="bullet">
					<list-item>
						<p>X-ray fluorescence (XRF): PHILIPS PW 2400 spectrometer fitted with a PW 2540 VTC sample changer; XRF readings calibrated and validated with certified reference materials</p>
					</list-item>
					<list-item>
						<p>X-ray diffraction (XRD): BRUKER AXS D8 Advance diffractometer fitted with a Lynxeye super speed RX detector, a 2.2-kW Cu anode and no monochromator. The scanning range, from 5 to 60&#x00B0;, was covered in a 24 minutes period. The instrument was set at 40 kW and 30 mA and the sample was not rotated during scanning.</p>
					</list-item>
					<list-item>
						<p>Fourier transform infrared spectroscopy (FTIR): ATIMATTSON Genesis FTIR-TM spectrometer, set to scan frequencies across a range of 4000 to 400 cm<sup>&#x2212;1</sup>; solid samples pressed into KBr pellets, using 1.0 mg of sample and 300 mg of KBr.</p>
					</list-item>
					<list-item>
						<p>
							<sup>29</sup>Si NMR: BRUKER MSL 400 spectrometer operating at 79.49 MHz. For liquid samples <sup>29</sup>Si spectra not applied magic angle spinning (MAS).</p>
					</list-item>
				</list>
				<p>The glass samples were crushed, ground and sieved to obtain three particle size fractions: i) &#x003C;45 &#x00B5;m; ii) 45&#x2013;90 &#x00B5;m; iii) &#x003E;125 &#x00B5;m.</p>
				<p>
					<xref ref-type="table" rid="T0001">Table 1</xref> gives the chemical composition (by XRF) of the glass waste for each particle size chosen for the study (from under 45 to over 125 &#x00B5;m). The XRF values showed that the proportions of the majority oxides (SiO<sub>2</sub>, Na<sub>2</sub>O and CaO) were similar across the entire range of particle sizes and types of glass. Some minor differences were detected in the trace elements, and specifically Cr, which plays a role in glass hue (with higher levels in green, brown and mixed glass).
</p>
				<table-wrap id="T0001">
					<label>Table 1</label>
					<caption>
						<p>XRF-determined chemical composition of glass waste (% wt)</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="center" colspan="13">Glass type (particle sizes in &#x00B5;m)</th>
							</tr>
							<tr>
								<th colspan="13">
									<hr/>
								</th>
							</tr>
							<tr>
								<th align="left" rowspan="3" valign="bottom">% wt</th>
								<th align="center" colspan="3">Clear</th>
								<th align="center" colspan="3">Green</th>
								<th align="center" colspan="3">Brown</th>
								<th align="center" colspan="3">Mixed</th>
							</tr>
							<tr>
								<th align="center" colspan="3">
									<hr/>
								</th>
								<th align="center" colspan="3">
									<hr/>
								</th>
								<th align="center" colspan="3">
									<hr/>
								</th>
								<th align="center" colspan="3">
									<hr/>
								</th>
							</tr>
							<tr>
								<th align="center">&#x003C;45</th>
								<th align="center">45&#x2013;90</th>
								<th align="center">&#x003E;125</th>
								<th align="center">&#x003C;45</th>
								<th align="center">45&#x2013;90</th>
								<th align="center">&#x003E;125</th>
								<th align="center">&#x003C;45</th>
								<th align="center">45&#x2013;90</th>
								<th align="center">&#x003E;125</th>
								<th align="center">&#x003C;45</th>
								<th align="center">45&#x2013;90</th>
								<th align="center">&#x003E;125</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">SiO<sub>2</sub>
								</td>
								<td align="center">71.4</td>
								<td align="center">70.8</td>
								<td align="center">70.9</td>
								<td align="center">70.7</td>
								<td align="center">70.2</td>
								<td align="center">71.3</td>
								<td align="center">70.7</td>
								<td align="center">70.9</td>
								<td align="center">69.9</td>
								<td align="center">70.7</td>
								<td align="center">71.0</td>
								<td align="center">71.2</td>
							</tr>
							<tr>
								<td align="left">Al<sub>2</sub>O<sub>3</sub>
								</td>
								<td align="center">1.7</td>
								<td align="center">1.8</td>
								<td align="center">1.7</td>
								<td align="center">2.1</td>
								<td align="center">2.0</td>
								<td align="center">2.0</td>
								<td align="center">2.1</td>
								<td align="center">2.1</td>
								<td align="center">2.5</td>
								<td align="center">2.0</td>
								<td align="center">2.1</td>
								<td align="center">2.2</td>
							</tr>
							<tr>
								<td align="left">Fe<sub>2</sub>O<sub>3</sub>
								</td>
								<td align="center">0.1</td>
								<td align="center">0.1</td>
								<td align="center">0.1</td>
								<td align="center">0.5</td>
								<td align="center">0.6</td>
								<td align="center">0.5</td>
								<td align="center">0.6</td>
								<td align="center">0.5</td>
								<td align="center">0.6</td>
								<td align="center">0.5</td>
								<td align="center">0.4</td>
								<td align="center">0.4</td>
							</tr>
							<tr>
								<td align="left">MgO</td>
								<td align="center">3.2</td>
								<td align="center">3.2</td>
								<td align="center">3.1</td>
								<td align="center">1.1</td>
								<td align="center">1.1</td>
								<td align="center">1.1</td>
								<td align="center">0.9</td>
								<td align="center">1.0</td>
								<td align="center">0.8</td>
								<td align="center">1.2</td>
								<td align="center">1.2</td>
								<td align="center">1.2</td>
							</tr>
							<tr>
								<td align="left">CaO</td>
								<td align="center">9.12</td>
								<td align="center">9.4</td>
								<td align="center">9.7</td>
								<td align="center">11.8</td>
								<td align="center">12.4</td>
								<td align="center">11.4</td>
								<td align="center">12.3</td>
								<td align="center">12.0</td>
								<td align="center">13.2</td>
								<td align="center">11.8</td>
								<td align="center">11.7</td>
								<td align="center">11.3</td>
							</tr>
							<tr>
								<td align="left">Na<sub>2</sub>O</td>
								<td align="center">11.5</td>
								<td align="center">11.7</td>
								<td align="center">11.4</td>
								<td align="center">12.0</td>
								<td align="center">12.1</td>
								<td align="center">12.1</td>
								<td align="center">11.6</td>
								<td align="center">12.0</td>
								<td align="center">11.4</td>
								<td align="center">11.7</td>
								<td align="center">11.6</td>
								<td align="center">11.9</td>
							</tr>
							<tr>
								<td align="left">K<sub>2</sub>O</td>
								<td align="center">2.6</td>
								<td align="center">2.6</td>
								<td align="center">2.7</td>
								<td align="center">1.0</td>
								<td align="center">1.1</td>
								<td align="center">1.0</td>
								<td align="center">1.1</td>
								<td align="center">1.0</td>
								<td align="center">1.2</td>
								<td align="center">1.1</td>
								<td align="center">1.1</td>
								<td align="center">1.1</td>
							</tr>
							<tr>
								<td align="left">TiO<sub>2</sub>
								</td>
								<td align="center">0.05</td>
								<td align="center">0.06</td>
								<td align="center">0.06</td>
								<td align="center">0.07</td>
								<td align="center">0.09</td>
								<td align="center">0.08</td>
								<td align="center">0.09</td>
								<td align="center">0.09</td>
								<td align="center">0.09</td>
								<td align="center">0.11</td>
								<td align="center">0.11</td>
								<td align="center">0.1</td>
							</tr>
							<tr>
								<td align="left">P<sub>2</sub>O<sub>5</sub>
								</td>
								<td align="center">0.03</td>
								<td align="center">0.03</td>
								<td align="center">0.03</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
								<td align="center">0.05</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
								<td align="center">0.04</td>
							</tr>
							<tr>
								<td align="left">Cr (ppm)</td>
								<td align="center">112</td>
								<td align="center">33</td>
								<td align="center">81</td>
								<td align="center">415</td>
								<td align="center">703</td>
								<td align="center">673</td>
								<td align="center">378</td>
								<td align="center">440</td>
								<td align="center">428</td>
								<td align="center">471</td>
								<td align="center">499</td>
								<td align="center">503</td>
							</tr>
							<tr>
								<td align="left">Ba (ppm)</td>
								<td align="center">285</td>
								<td align="center">58</td>
								<td align="center">103</td>
								<td align="center">242</td>
								<td align="center">277</td>
								<td align="center">135</td>
								<td align="center">305</td>
								<td align="center">388</td>
								<td align="center">212</td>
								<td align="center">318</td>
								<td align="center">485</td>
								<td align="center">373</td>
							</tr>
							<tr>
								<td align="left">Pb (ppm)</td>
								<td align="center">-</td>
								<td align="center">1</td>
								<td align="center">-</td>
								<td align="center">20</td>
								<td align="center">40</td>
								<td align="center">35</td>
								<td align="center">28</td>
								<td align="center">35</td>
								<td align="center">33</td>
								<td align="center">132</td>
								<td align="center">139</td>
								<td align="center">140</td>
							</tr>
							<tr>
								<td align="left">S (ppm)</td>
								<td align="center">341</td>
								<td align="center">257</td>
								<td align="center">277</td>
								<td align="center">64</td>
								<td align="center">47</td>
								<td align="center">65</td>
								<td align="center">74</td>
								<td align="center">71</td>
								<td align="center">67</td>
								<td align="center">165</td>
								<td align="center">184</td>
								<td align="center">177</td>
							</tr>
							<tr>
								<td align="left">Cl (ppm)</td>
								<td align="center">88</td>
								<td align="center">68</td>
								<td align="center">81</td>
								<td align="center">84</td>
								<td align="center">87</td>
								<td align="center">95</td>
								<td align="center">110</td>
								<td align="center">102</td>
								<td align="center">96</td>
								<td align="center">189</td>
								<td align="center">198</td>
								<td align="center">214</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<p>The XRD mineralogical characterisation (see <xref ref-type="fig" rid="F0001">Figure 1</xref>) showed the glass to be an amorphous material, with low range structural order. Crystalline phases were not detected via XRD, consistent with the highly amorphous nature of the materials used in this study at 2&#x3B8; values of around 20&#x2013;40&#x00B0;, an indication of the vitrification of silicates, sodium silicate (Na<sub>2</sub>SiO<sub>3</sub>&#x00B7;nH<sub>2</sub>O) and calcium silicate type phases, along with potassium and barium. The IR spectra for these glass waste (<xref ref-type="fig" rid="F0002">Figure 2</xref>) contained a wide and intense band at 900&#x2013;1100 cm<sup>&#x2212;1</sup> associated with the Si-O (&#x3BD;<sub>3</sub> (Si-O)) asymmetric stretching vibrations in the SiO<sub>4</sub> tetrahedral groups present in the silicates, and another at 450&#x2013;470 cm<sup>&#x2212;1</sup> due to the &#x3BD;<sub>4</sub> (O-Si-O) bending vibrations in the SiO<sub>4</sub> groups, likewise in the silicates. The assignment of the spectrum bands is listed in <xref ref-type="table" rid="T0002">Table 2</xref>. The XRD and FTIR findings were practically identical in the four types of glass waste.
</p>
				<fig id="F0001">
					<label>Figure 1</label>
					<caption>
						<p>XRD diffractogram for the waste glass.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g001.tif"/>
				</fig>
				<fig id="F0002">
					<label>Figure 2</label>
					<caption>
						<p>FTIR spectrum for waste glass.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g002.tif"/>
				</fig>
				<table-wrap id="T0002">
					<label>Table 2</label>
					<caption>
						<p>Assignment of FTIR bands on the spectrum for waste glass</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Wavenumber (cm<sup>&#x2212;1</sup>)</th>
								<th align="center">Assigned to</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">3436</td>
								<td align="center">reticular &#x3BD;-OH</td>
							</tr>
							<tr>
								<td align="left">1634</td>
								<td align="center">&#x03B4;-H-O-H</td>
							</tr>
							<tr>
								<td align="left">1425</td>
								<td align="center">&#x3BD;<sub>3</sub>(CO<sub>3</sub>
									<sup>2&#x2212;</sup>)</td>
							</tr>
							<tr>
								<td align="left">1045</td>
								<td align="center">&#x3BD;<sub>3</sub> (Si-O) asymmetric stretching</td>
							</tr>
							<tr>
								<td align="left">771</td>
								<td align="center">&#x3BD; Si-O (in the SiO<sub>4</sub> tetrahedron)</td>
							</tr>
							<tr>
								<td align="left">465</td>
								<td align="center">&#x3BD;<sub>4</sub> (O-Si-O) bending vibrations</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
			</sec>
			<sec id="S20004">
				<title>2.2. Glass waste solubility trials in highly alkaline media</title>
				<p>The variables studied to determine the solubility of the four types of glass in highly alkaline media were: type of process, nature of the activating solution, particle size of the glass waste, temperature and process/solution time.</p>
				<p>Glass solubility was determined in the following three processes:<list list-type="alpha-lower">
						<list-item>
							<p>At ambient temperature (22 &#x00B1; 2&#x00B0;C)</p>
						</list-item>
						<list-item>
							<p>At high temperature (80 &#x00B1; 2&#x00B0;C)</p>
						</list-item>
						<list-item>
							<p>By a mechano-chemical process (in a ball grinder) at ambient temperature.</p>
						</list-item>
					</list>
				</p>
				<p>Chemical process, which consisted of magnetic stirring at ambient (22 &#x00B1; 2&#x00B0;C) temperature and a constant speed, was studied in the four types of glass specified. The solid: liquid ratio was 1 g of glass material per 100 mL of solution (1:100). These conditions were constant for the four types of glass and three particle sizes (&#x003C;45, 45&#x2013;90 and &#x003E;125 &#x00B5;m). Stirring times of 10 min and 2, 4 and 6 h were studied to determine the effect on the time on glass dissolution. The three dissolutions used were deionised water (pH = 7), the reference, a NaOH solution (pH = 13.8) and a 1:1 NaOH/Na<sub>2</sub>CO<sub>3</sub> solution (pH = 13.6). The concentration of the two alkaline solutions was 4 M. A total of 144 trials were conducted to test all these variables in the four types of glass.</p>
				<p>Dissolution trials for chemical process at 80&#x00B0;C were limited to the brown and mixed glass, based on the findings for chemical process at ambient temperature. All the other conditions remained unchanged: stirring times, glass particle size and the activating solutions (NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub> at the same concentration as in chemical process at ambient temperature). Solution temperature was held steady at 80 &#x00B1; 2&#x00B0;C. A total of 48 trials were conducted under these conditions.</p>
				<p>Lastly, in the mechano-chemical process trials, the glass was ground in a steel ball grinder. In such procedures, the relationship between the size and number of balls and the solid: liquid ratio had an important effect on the solubility process. Several trials were run to establish the optimal conditions. The best grinding performance was found for 5 g of solid in 500 ml of solution and 1 kg of balls (with a size distribution of approximately 2.5% of balls 20 mm in diameter; and 12.3% measuring 15 mm, 29.3%, 9 mm and 56%, 5 mm in diameter). As in the case of chemical stirring at 80&#x00B0;C, only brown and green glass were studied, using the same particle size fractions and stirring times as established for the ambient temperature trials, and the same concentration of NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub> solutions as for chemical process at ambient temperature. A total of 48 trials were conducted.</p>
				<p>All the solutions obtained were gravity filtered and brought to a known volume for subsequent ICP-AES laboratory analysis of elements Si, Al, Ca and Mg. The analyses were conducted in a VARIAN 725-ES inductively coupled plasma atomic emission spectrometer.</p>
				<p>The objective of studying all these variables was to determine the type of process, type of glass (clear, green, brown or mixed), particle size of the glass waste and type of activating solution that yielded the highest glass solubility. This information is essential to establishing the optimal conditions for obtaining sodium silicates, possible waterglass as family alkaline activators, from glass waste.</p>
			</sec>
			<sec id="S20005">
				<title>2.3. Statistical analysis of the solubility values</title>
				<p>The experimental findings for each dissolution process were statistically corroborated. Variables and their respective levels were established to obtain a mathematical model able to determine the solubility of all the species present in the glass (Si, Al, Ca and Mg) in a single equation accommodating all the variables. STATGRAPHICS Plus 5.1 software was used in this analysis.</p>
				<p>The data were obtained, i.e., the response variables were determined, by running a full factorial model on the experimental findings. Model parameter significance was analysed with the F-test (Fischer&#x0027;s test). The general criterion applied was to accord significance to factors as well as binary and ternary interactions whose p-values at 95% confidence were lower than &#x003C;0.05.</p>
				<p>Once the significant factors were determined, the equation parameters were estimated and the model initially proposed was validated. Further to the model, the variability found in a response variable is attributed to the sum of a series of terms assigned to each factor studied and its binary and ternary interactions. In addition to the variability attributed to the factors studied, the model envisages a term representing the variability due to experimental error. In the present study, where interactions &#x003E;3 were assumed to be nil, the equation [<xref ref-type="disp-formula" rid="FD1">1</xref>] developed to define the model, a priori, was as follows:<disp-formula id="FD1">
						<alternatives>
							<mml:math id="M1">
								<mml:mrow>
									<mml:msub>
										<mml:mtext>y</mml:mtext>
										<mml:mrow>
											<mml:mtext>ijkl</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>=</mml:mo>
									<mml:mi>&#x03BC;</mml:mi>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mtext>A</mml:mtext>
										<mml:mtext>i</mml:mtext>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mtext>B</mml:mtext>
										<mml:mtext>j</mml:mtext>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mtext>C</mml:mtext>
										<mml:mtext>k</mml:mtext>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mtext>D</mml:mtext>
										<mml:mtext>l</mml:mtext>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>AB</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>ij</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>AC</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>ik</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>AD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>ik</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>BC</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>jk</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>BD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>il</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>CD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>kl</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>ABC</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>ijk</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>ABD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mtext>i</mml:mtext>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>ACD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>ikl</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mrow>
											<mml:mo stretchy="false">(</mml:mo>
											<mml:mtext>BCD</mml:mtext>
											<mml:mo stretchy="false">)</mml:mo>
										</mml:mrow>
										<mml:mrow>
											<mml:mtext>jkl</mml:mtext>
										</mml:mrow>
									</mml:msub>
									<mml:mo>+</mml:mo>
									<mml:msub>
										<mml:mi>&#x03B5;</mml:mi>
										<mml:mrow>
											<mml:mtext>ijkl</mml:mtext>
										</mml:mrow>
									</mml:msub>
								</mml:mrow>
							</mml:math>
							<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-eq01.tif"/>
						</alternatives>
					</disp-formula>
				</p>
				<p>where <bold>y</bold>
					<sub>
						<bold>ijkl</bold>
					</sub> is the estimated value of the response variable at levels <bold>i</bold>, <bold>j</bold>, <bold>k</bold> and <bold>l</bold> for the factors studied; &#x00B5; is a scale factor indicating the mean of the estimated value; <bold>A</bold>
					<sub>
						<bold>i</bold>
					</sub>, <bold>B</bold>
					<sub>
						<bold>j</bold>
					</sub>, <bold>C</bold>
					<sub>
						<bold>k</bold>
					</sub>, and <bold>D</bold>
					<sub>
						<bold>l</bold>
					</sub> represent the effects of the change in factor values on the response variable; <bold>(AB)</bold>
					<sub>
						<bold>ij</bold>
					</sub>, <bold>(AC)</bold>
					<sub>
						<bold>ik</bold>
					</sub>, <bold>(AD)</bold>
					<sub>
						<bold>jl</bold>
					</sub>, <bold>(BC)</bold>
					<sub>
						<bold>jk</bold>
					</sub>, <bold>(BD)</bold>
					<sub>
						<bold>il</bold>
					</sub> and <bold>(CD)</bold>
					<sub>
						<bold>kl</bold>
					</sub> represent the effect of the binary interactions between factors on the response variable; eijkl, which represents the random measuring error, is independent of the factors and levels studied, subject to the assumption that &#603;<sub>ijkl</sub> &#x2248; N (0, &#x3C3;<sup>2</sup>); and &#x3C3;<sup>2</sup> is the variance in the experimental error estimated from the available degrees of freedom, given that the interactions of an order higher than three are regarded as nil.</p>
				<p>
					<xref ref-type="table" rid="T0003">Table 3</xref> lists the four factors studied in the factorial design for the experiments conducted, along with the associated levels for chemical activation at ambient temperature (for a total of 144 trials). Fewer levels of some of these factors were defined for chemical at 80&#x00B0;C and mechano-chemical processes (see <xref ref-type="table" rid="T0004">Table 4</xref>).
</p>
				<table-wrap id="T0003">
					<label>Table 3</label>
					<caption>
						<p>Factors studied and levels associated with each in chemical process at ambient temperature</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Factor</th>
								<th align="left">Definition</th>
								<th align="center" colspan="4">Associated level</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">A</td>
								<td align="left">Type of glass</td>
								<td align="center">Clear<break/>N<sub>A</sub>=(1)</td>
								<td align="center">Green<break/>N<sub>A</sub>=(2)</td>
								<td align="center">Brown<break/>N<sub>A</sub>=(3)</td>
								<td align="center">Mixed<break/>N<sub>A</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">B</td>
								<td align="left">Particle size</td>
								<td align="center">&#x003C;45 &#x00B5;m<break/>N<sub>B</sub>=(1)</td>
								<td colspan="2" align="center">45&#x2013;90 &#x00B5;m<break/>N<sub>B</sub>=(2)</td>
								<td align="center">&#x003E;125 &#x00B5;m<break/>N<sub>B</sub>=(3)</td>
							</tr>
							<tr>
								<td align="left">C</td>
								<td align="left">Stirring time</td>
								<td align="center">10 min<break/>N<sub>C</sub>=(1)</td>
								<td align="center">2 hours<break/>N<sub>C</sub>=(2)</td>
								<td align="center">4 hours<break/>N<sub>C</sub>=(3)</td>
								<td align="center">6 hours<break/>N<sub>C</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">D</td>
								<td align="left">Activating solution</td>
								<td align="center">H<sub>2</sub>O<break/>N<sub>D</sub>=(1)</td>
								<td colspan="2" align="center">NaOH<break/>N<sub>D</sub>=(2)</td>
								<td align="center">NaOH/Na<sub>2</sub>CO<sub>3</sub>
									<break/>N<sub>D</sub>=(3)</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<table-wrap id="T0004">
					<label>Table 4</label>
					<caption>
						<p>Factors studied and levels associated with each in chemical process at 80&#x00B0;C and mechanical-chemical process</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Factor</th>
								<th align="left">Definition</th>
								<th align="center" colspan="4">Associated level</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">A</td>
								<td align="left">Type of glass</td>
								<td align="center" colspan="2">Brown<break/>N<sub>A</sub>=(3)</td>
								<td align="center" colspan="2">Mixed<break/>N<sub>A</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">B</td>
								<td align="left">Particle size</td>
								<td align="center">&#60;45 &#956;m<break/>N<sub>B</sub>=(1)</td>
								<td colspan="2" align="center">45&#8211;90 &#956;m<break/>N<sub>B</sub>=(2)</td>
								<td align="center">&#62;125 &#956;m<break/>N<sub>B</sub>=(3)</td>
							</tr>
							<tr>
								<td align="left">C</td>
								<td align="left">Stirring time</td>
								<td align="center">10 min<break/>N<sub>C</sub>=(1)</td>
								<td align="center">2 hours<break/>N<sub>C</sub>=(2)</td>
								<td align="center">4 hours<break/>N<sub>C</sub>=(3)</td>
								<td align="center">6 hours<break/>N<sub>C</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">D</td>
								<td align="left">Activating solution</td>
								<td align="center" colspan="2">NaOH<break/>N<sub>D</sub>=(2)</td>
								<td align="center" colspan="2">NaOH/Na<sub>2</sub>CO<sub>3</sub>
									<break/>N<sub>D</sub>=(3)</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<p>The model was validated by plotting the experimental against the expected values. The model is valid when the points on the graph obtained are randomly distributed, i.e., where no pattern emerges.</p>
			</sec>
		</sec>
		<sec id="S0006" sec-type="results|discussion">
			<title>3. RESULTS AND DISCUSSION</title>
			<sec id="S20007">
				<title>3.1. Glass waste solubility under different conditions</title>
				<p>The formation of sodium silicate solutions from the dissolution of glass waste is followed by the content of SiO<sub>2</sub> dissolved from these wastes by the different methods applied. The Na ions content cannot be used because the alkaline solutions used were NaOH or NaOH/Na<sub>2</sub>CO<sub>3</sub>. The main analytical and statistical results obtained according to the methods used are presented below.</p>
				<sec>
					<title>3.1.1. Ambient temperature (22 &#x00B1; 2&#x00B0;C) process</title>
					<p>In most cases where glass is exposed to chemical attack, the medium is aqueous. The mechanism governing glass-water interaction must consequently be the first question addressed. Contact with the aqueous medium induces an exchange of sodium and hydrogen ions. Since the latter are present in water in equilibrium with OH<sup>&#x2212;</sup> ions, this exchange governs dissolution (<xref ref-type="bibr" rid="CIT0024">24</xref>). As <xref ref-type="fig" rid="F0003">Figure 3</xref> shows, the solubility of the silicon oxide present in the glass rose with stirring time, irrespective of particle size. Nonetheless, solubility was highest when the glass particle size was under 45 microns, for the smaller the particle size the greater the specific surface and consequently the more intense the contact between the solution and the glass. The result is higher solubility.</p>
					<fig id="F0003">
						<label>Figure 3</label>
						<caption>
							<p>Percentage of SiO<sub>2</sub> solubilised in clear glass in water. Effect of glass particle size.</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g003.tif"/>
					</fig>
					<p>Highly alkaline attacks are governed by a different mechanism, in which the OH<sup>&#x2212;</sup> groups are predominant, further to the following reactions (<xref ref-type="bibr" rid="CIT0024">24</xref>) [<xref ref-type="disp-formula" rid="FD2">2</xref>]:<disp-formula id="FD2">
							<alternatives>
								<mml:math id="M2">
									<mml:mrow>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:mtext>O</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mo>+</mml:mo>
										<mml:msup>
											<mml:mtext>OH</mml:mtext>
											<mml:mo>&#x2212;</mml:mo>
										</mml:msup>
										<mml:mo>&#x2192;</mml:mo>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:mtext>OH</mml:mtext>
										<mml:mo>+</mml:mo>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:msup>
											<mml:mtext>O</mml:mtext>
											<mml:mo>&#x2212;</mml:mo>
										</mml:msup>
									</mml:mrow>
								</mml:math>
								<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-eq02.tif"/>
							</alternatives>
						</disp-formula>
					</p>
					<p>Unsaturated &#x2261;Si-O<sup>&#x2212;</sup> groups may react with water molecules and form new silanol groups and more OH<sup>&#x2212;</sup> groups [<xref ref-type="disp-formula" rid="FD3">3</xref>]:<disp-formula id="FD3">
							<alternatives>
								<mml:math id="M3">
									<mml:mrow>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:msup>
											<mml:mtext>O</mml:mtext>
											<mml:mo>&#x2212;</mml:mo>
										</mml:msup>
										<mml:mo>+</mml:mo>
										<mml:msub>
											<mml:mtext>H</mml:mtext>
											<mml:mn>2</mml:mn>
										</mml:msub>
										<mml:mtext>O</mml:mtext>
										<mml:mo>&#x2192;</mml:mo>
										<mml:mo>&#x2261;</mml:mo>
										<mml:mtext>Si</mml:mtext>
										<mml:mo>-</mml:mo>
										<mml:mtext>OH</mml:mtext>
										<mml:mo>+</mml:mo>
										<mml:msup>
											<mml:mtext>OH</mml:mtext>
											<mml:mo>&#x2212;</mml:mo>
										</mml:msup>
									</mml:mrow>
								</mml:math>
								<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-eq03.tif"/>
							</alternatives>
						</disp-formula>
					</p>
					<p>The reaction between the glass and the OH<sup>&#x2212;</sup>groups always hydrolyses oxygen bridges, partially destroying the network. For that reason, glass is much less resistant to alkaline than acidic media. In alkaline media, glass may be said to be depolymerised, resulting in total destruction of its network and gradual solubilisation.</p>
					<p>
						<xref ref-type="fig" rid="F0004">Figure 4</xref> shows the solubility of the four types of glass in the two alkaline media (NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub>) for glass particle sizes of under 45 &#x00B5;m. These findings confirmed the greater solubility of SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub> (forming oxides) in alkaline media than in water. In NaOH, solubility was 16 to 43% higher than in water, depending on the type of glass. When the solution pH was raised (using NaOH/Na<sub>2</sub>CO<sub>3</sub> or NaOH), the amount of SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub> extracted rose substantially, due to network destruction after the Si-O-Si and Al-O-Al bonds were broken. The differences between the two solutions were significant: SiO<sub>2</sub> solubility was 12 to 53% higher and Al<sub>2</sub>O<sub>3</sub> solubility 17 to 54% higher with NaOH/Na<sub>2</sub>CO<sub>3</sub> than with NaOH (<xref ref-type="table" rid="T0005">Table 5</xref>). However, the difference between both pH values was not very remarkable but in this case; it is possible that other determining factors, such as the presence of a common ion (Na<sup>+</sup>) or the presence of carbonates contributed to dissolve a higher amount of glass (<xref ref-type="bibr" rid="CIT0033">33</xref>).
</p>
					<fig id="F0004">
						<label>Figure 4</label>
						<caption>
							<p>Chemical process at ambient T. Solubility of Si, Al, Ca and Mg oxides present in the four types of glass in alkaline media (NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub>).</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g004.tif"/>
					</fig>
					<table-wrap id="T0005">
						<label>Table 5</label>
						<caption>
							<p>SiO<sub>2</sub> (% wt. of SiO<sub>2</sub> total) and Al<sub>2</sub>O<sub>3</sub> (% wt. of Al<sub>2</sub>O<sub>3</sub> total) after 6 hours of stirring in H<sub>2</sub>O, NaOH and NaOH/Na<sub>2</sub>CO<sub>3</sub> (particle size &#x003C; 45 &#x00B5;m)</p>
						</caption>
						<table frame="hsides" rules="groups">
							<thead>
								<tr>
									<th align="left">Glass</th>
									<th align="center">SiO<sub>2</sub> in H<sub>2</sub>O (%)</th>
									<th align="center">SiO<sub>2</sub> in NaOH (%)</th>
									<th align="center">SiO<sub>2</sub> in NaOH/Na<sub>2</sub>CO<sub>3</sub> (%)</th>
									<th align="center">Al<sub>2</sub>O<sub>3</sub> in NaOH (%)</th>
									<th align="center">Al<sub>2</sub>O<sub>3</sub> in NaOH/Na<sub>2</sub>CO<sub>3</sub> (%)</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">C</td>
									<td align="center">1.061</td>
									<td align="center">1.277</td>
									<td align="center">1.449</td>
									<td align="center">1.022</td>
									<td align="center">1.233</td>
								</tr>
								<tr>
									<td align="left">G</td>
									<td align="center">0.436</td>
									<td align="center">0.654</td>
									<td align="center">1.208</td>
									<td align="center">0.823</td>
									<td align="center">1.796</td>
								</tr>
								<tr>
									<td align="left">B</td>
									<td align="center">0.380</td>
									<td align="center">0.665</td>
									<td align="center">1.415</td>
									<td align="center">1.215</td>
									<td align="center">1.836</td>
								</tr>
								<tr>
									<td align="left">M</td>
									<td align="center">0.439</td>
									<td align="center">0.651</td>
									<td align="center">1.229</td>
									<td align="center">1.421</td>
									<td align="center">2.397</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn>
								<p>C=Clear, G=Green, B=Brown,M=Mixed.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
					<p>As <xref ref-type="fig" rid="F0004">Figure 4</xref> shows, the Mg and Ca oxides, regarded as network modifiers on the grounds of their electronegative potential values (<xref ref-type="bibr" rid="CIT0029">29</xref>), failed to exhibit very high solubility over time. Because of their higher solubility (lower Ca-O and Mg-O bond energy than in Al-O and Si-O), they dissolved from the time of initial contact between the alkaline solution and the glass.</p>
					<p>Another interesting finding at ambient temperature was that glass solubility was very low and similar for the four types of glass studied (<xref ref-type="fig" rid="F0004">Figure 4</xref>). For that reason, the subsequent high temperature and mechano-chemical trials were conducted using only two types (brown and mixed) of glass.<disp-quote>
							<p>&#x2022;&#x2003;<underline>Chemical process at ambient temperature: statistical analysis.</underline>
							</p>
						</disp-quote>
					</p>
					<p>The statistical significance for oxide solubility in the four factors studied (see <xref ref-type="table" rid="T0003">Table 3</xref>) and their binary and ternary interactions was found by analysing the F-test results on variance in the experimental findings. <xref ref-type="table" rid="T0006">Table 6</xref> shows the 95% confidence level p-values obtained for Si, Al, Ca and Mg oxide solubility in the chemical process at ambient temperature trials. Significance was attributed to the factors and binary and ternary interactions with p-values of under 0.05.
</p>
					<table-wrap id="T0006">
						<label>Table 6</label>
						<caption>
							<p>P-values for oxide solubility in waste glasses subjected to chemical process at ambient temperature</p>
						</caption>
						<table frame="hsides" rules="groups">
							<thead>
								<tr>
									<th align="left">Oxide</th>
									<th align="center">Order of factors</th>
									<th align="center">Significant binary interactions</th>
									<th align="center">Significant ternary interactions</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">SiO<sub>2</sub>
									</td>
									<td align="center">
										<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref>
										<bold>A; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> D</bold>
										<break/>
										<xref ref-type="table-fn" rid="TF0002">&#x002A;&#x002A;</xref> 0.0000; 0.0000; 0.0000; 0.0000</td>
									<td align="center">
										<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref>
										<bold>AC; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> AD; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BC; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> AB &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BD</bold>
										<break/>0.0000; 0.0000; 0.0000; 0.0000 &#x003E; 0.0002 &#x003E; 0.0005</td>
									<td align="center">
										<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref>
										<bold>ACD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> ABD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BCD &#x003E; ABC</bold>
										<break/>0.0000 &#x003E; 0.0002 &#x003E; 0.0013 &#x003E; 0.0864</td>
								</tr>
								<tr>
									<td align="left">Al<sub>2</sub>O<sub>3</sub>
									</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> A; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> C;</bold>
										<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref>
										<bold>D</bold>&#x003E;B<break/>0.0000; 0.0000; 0.0000 &#x003E; 0.1179</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> AD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> CD</bold>&#x003E;AC &#x003E; AB &#x003E; BD &#x003E; BC<break/>0.0239 &#x003E; 0.0348 &#x003E; 0.1073 &#x003E; 0.3127 &#x003E; 0.3911 &#x003E; 0.9139</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> ACD</bold>&#x003E;ABD &#x003E; ABC &#x003E; BCD<break/>0.0071 &#x003E; 0.2725 &#x003E; 0.4980 &#x003E; 0.6820</td>
								</tr>
								<tr>
									<td align="left">CaO</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> A</bold>&#x003E;B &#x003E; D<break/>0.0138 &#x003E; 0.0215 &#x003E; 0.0562 &#x003E; 0.1246</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BC &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BD</bold>&#x003E;AC &#x003E; AD &#x003E; AB<break/>0.0003 &#x003E; 0.0194 &#x003E; 0.0198 &#x003E; 0.6960 &#x003E; 0.8643 &#x003E; 0.9213</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> BCD</bold>&#x003E;ABC &#x003E; ACD &#x003E; ABC<break/>0.0168 &#x003E; 0.1385 &#x003E; 0.4725 &#x003E; 0.8592</td>
								</tr>
								<tr>
									<td align="left">MgO</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> A; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> D &#x003E; B</bold>
										<break/>0.0000; 0.0000;0.0000 &#x003E; 0.5269</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> AD &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> AC &#x003E; <xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> CD</bold>&#x003E;BD &#x003E; BC &#x003E; AB<break/>0.0000 &#x003E; 0.0006 &#x003E; 0.0063 &#x003E; 0.1098 &#x003E; 0.1853 &#x003E; 0.7686</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0001">&#x002A;</xref> ACD</bold>&#x003E;ABC &#x003E; ABD &#x003E; BCD<break/>0.0001 &#x003E; 0.1306 &#x003E; 0.1315 &#x003E; 0.2436</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TF0001">
								<label>&#x002A;</label>
								<p>The factors shown in bold are statistically significant.</p>
							</fn>
							<fn id="TF0002">
								<label>&#x002A;&#x002A;</label>
								<p>P-value at 95% confidence level.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
					<p>The findings revealed that not all four factors studied were statistically significant for all the oxides. For SiO<sub>2</sub>, the four factors were found to be statistically significant. The statistical analysis identified the conditions for each variable that optimised oxide solubility (6 h of activation, waste particle size &#x003C;45 &#x00B5;m, NaOH/Na<sub>2</sub>CO<sub>3</sub> solution and clear-mixed glass: see <xref ref-type="fig" rid="F0005">Figure 5</xref>). All the binary interactions proved to be statistically significant. The explanation lies in the fact that even the slightest change in the levels of any of the main factors altered the final result. Indeed, in chemical process at ambient temperature the solubility values were so low that any change would be highly significant. This explanation is equally applicable to the ternary interactions (ABC, ABD and BCD).</p>
					<fig id="F0005">
						<label>Figure 5</label>
						<caption>
							<p>Significant main factors for SiO<sub>2</sub> solubility in chemical process at ambient temperature.</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g005.tif"/>
					</fig>
					<p>Glass type, stirring time and the type of activating solution (A, C and D, respectively) were the significant factors for aluminium and magnesium solubility but particle size (factor B) was not significant for either of these compounds (see <xref ref-type="table" rid="T0006">Table 6</xref>). In all three of these oxides, the energy in the bond between the oxide and the respective ion (Al<sup>3 +</sup>,Ca<sup>2+</sup>or Mg<sup>2+</sup>) was lower than between oxygen and Si. As a result, their greater solubility was specific surface-independent, lessening the role of particle size. One of the statistically significant binary interactions, stirring time-type of solution (interaction CD), was particularly prominent in the three cases. The inference is that regardless of the oxide used, its solubility always depended on these two factors, although the values varied with the respective levels (10 minutes, 2, 4 or 6 hours for stirring time and water, NaOH or NaOH/Na<sub>2</sub>CO<sub>3</sub> for the type of solution). Interaction AD (glass type-activator type) also proved to be important, corroborating the above finding to the effect that NaOH/Na<sub>2</sub>CO<sub>3</sub> induced the highest solubility in all the oxides studied.</p>
					<p>The ternary interactions for Al, Ca and Mg were less significant than for silicon oxide, although interaction ACD (glass type-stirring time-type of activating solution) exhibited fairly high significance values.</p>
				</sec>
				<sec>
					<title>3.1.2. Chemical process at 80 &#x00B1; 2&#x00B0;C</title>
					<p>
						<xref ref-type="fig" rid="F0006">Figure 6</xref> shows the percentage of solubilized Si, Al, Ca and Mg oxides in brown and mixed glass after chemical process at 80&#x00B0;C. As with chemical process at ambient temperature, glass particle size was a key factor in the solubility of silicon oxide, where the higher solubility was reached for particle size lower than 45 &#x00B5;m. Moreover, unlike what occurred at ambient temperature, the effect of temperature causes the particle size was significant for Al<sub>2</sub>O<sub>3</sub> and CaO. By contrast, the type of alkaline activator appeared to have a smaller impact at 80&#x00B0;C than at ambient temperature. In the high temperature trial, the solubilisation percentages were on the order of 60% for SiO<sub>2</sub> and 55% for Al<sub>2</sub>O<sub>3</sub> in all four types of glass (see <xref ref-type="fig" rid="F0006">Figure 6</xref>) and the amount of SiO<sub>2</sub> dissolved similarly in the two types of glass for both alkaline solutions. Nonetheless, the NaOH/Na<sub>2</sub>CO<sub>3</sub> solution exhibited slightly better performance, dissolving 5 and 14% more of the SiO<sub>2</sub> present in the brown and mixed glass, respectively. Given the higher solubility of the Ca and Mg oxides, the percentages dissolved were similar to the values found at ambient temperature.</p>
					<fig id="F0006">
						<label>Figure 6</label>
						<caption>
							<p>Chemical process at 80&#x00B0;C: Si, Al, Ca and Mg oxide solubility in brown and mixed glass in alkaline solutions.</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g006.tif"/>
					</fig>
					<p>The findings for this type of process showed that temperature is a key variable in glass solubilisation.<disp-quote>
							<p>&#x2022;&#x2003;<underline>Chemical process at 80&#x00B0;C: statistical analysis.</underline>
							</p>
						</disp-quote>
					</p>
					<p>The four factors studied in this experimental design are listed in <xref ref-type="table" rid="T0004">Table 4</xref>. According to the p-values obtained for process at 80<italic>&#x00B0;</italic>C (see <xref ref-type="table" rid="T0007">Table 7</xref>), all the main factors were significant for SiO<sub>2</sub> solubility. As above, the binary interactions were observed to follow two patterns, one in the network forming oxides (SiO<sub>2</sub> y Al<sub>2</sub>O<sub>3</sub>) and the other in the modifiers (CaO y MgO). In the former, the most significant binary interaction was particle size-stirring time (interaction BC). This finding was an indication that the smaller the particle size and the longer the stirring time, the higher was solubility (see <xref ref-type="fig" rid="F0007">Figure 7</xref>). As noted earlier, the use of NaOH or NaOH/Na<sub>2</sub>CO<sub>3</sub> had a small effect as the type of dissolution was significant when studied separately, but played a less important role in the binary interactions (CD = 0.0531 for SiO<sub>2</sub>) than observed in chemical process at ambient temperature. Moreover, binary and ternary interactions were less significant here because with silicon and aluminium oxide solubility rates on the order of 60%, a change in any of the variables studied had a lower impact on the end result. This confirmed the key role of temperature in oxide solubility.
</p>
					<fig id="F0007">
						<label>Figure 7</label>
						<caption>
							<p>Particle size-activation time interaction graphs for SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub>. Chemical process at 80&#x00B0;C.</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g007.tif"/>
					</fig>
					<table-wrap id="T0007">
						<label>Table 7</label>
						<caption>
							<p>P-values for oxide solubility in waste glasses subjected to chemical process at 80&#x00B0;C</p>
						</caption>
						<table frame="hsides" rules="groups">
							<thead>
								<tr>
									<th align="left">Oxide</th>
									<th align="center">Order of factors</th>
									<th align="center">Significant binary interactions</th>
									<th align="center">Significant ternary interactions</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">SiO<sub>2</sub>
									</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> D &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> A</bold>
										<break/>
										<xref ref-type="table-fn" rid="TF0004">&#x002A;&#x002A;</xref> 0.0000; 0.0000 &#x003E; 0.0002 &#x003E; 0.0013</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> AC &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> AD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> BC</bold>&#x003E;CD &#x003E; AB &#x003E; BD<break/>0.0052 &#x003E; 0.0209 &#x003E; 0.0531 &#x003E; 0.1396 &#x003E; 0.1871 &#x003E; 0.3252</td>
									<td align="center">None</td>
								</tr>
								<tr>
									<td align="left">Al<sub>2</sub>O<sub>3</sub>
									</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> D</bold>&#x003E;A<break/>0.0000; 0.0000 &#x003E; 0.0159 &#x003E; 0.1089</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> B</bold>C &#x003E; BD &#x003E; CD &#x003E; AB &#x003E; AD &#x003E; AC<break/>0.0135 &#x003E; 0.1377 &#x003E; 0.1493 &#x003E; 0.2102 &#x003E; 0.3302 &#x003E; 0.4788</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> ABD</bold>&#x003E;ACD &#x003E; BCD &#x003E; ABC<break/>0.0206 &#x003E; 0.664 &#x003E; 0.7910 &#x003E; 0.8465</td>
								</tr>
								<tr>
									<td align="left">CaO</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> B &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> D</bold>&#x003E;A<break/>0.0000 &#x003E; 0.0026 &#x003E; 0.0070 &#x003E; 0.3741</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> BD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> AD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> BC</bold>&#x003E;AB &#x003E; AC<break/>0.0000 &#x003E; 0.0002 &#x003E; 0.0004 &#x003E; 0.0248 &#x003E; 0.0647 &#x003E; 0.2026</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> ABD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> ABC &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> ACD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> BCD</bold>
										<break/>0.0004 &#x003E; 0.0016 &#x003E; 0.0068 &#x003E; 0.0088</td>
								</tr>
								<tr>
									<td align="left">MgO</td>
									<td align="center">A &#x003E; C&#x003E;D &#x003E; B<break/>0.2395 &#x003E; 0.3084 &#x003E; 0.4143 &#x003E; 0.8453</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> BD &#x003E; <xref ref-type="table-fn" rid="TF0003">&#x002A;</xref> AD</bold>&#x003E;BC &#x003E; AC &#x003E; AB<break/>0.0029 &#x003E; 0.0108 &#x003E; 0.0175 &#x003E; 0.6576 &#x003E; 0.8739 &#x003E; 0.9759</td>
									<td align="center">None</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TF0003">
								<label>&#x002A;</label>
								<p>The factors shown in bold are statistically significant.</p>
							</fn>
							<fn id="TF0004">
								<label>&#x002A;&#x002A;</label>
								<p>P-value at 95% confidence level.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</sec>
				<sec>
					<title>3.1.3. Mechano-chemical process at ambient temperature (22 &#x00B1; 2&#x00B0;C)</title>
					<p>The solubility values obtained for the four oxides in this process were very similar to those reported in the chemical process at room temperature. <xref ref-type="fig" rid="F0008">Figure 8</xref> shows a comparative manner the three methods, confirming that chemical process at room temperature and mechanical-chemical dissolve the glass very similarly, while chemical method at 80 &#x00B1; 2&#x00B0;C, is the most effective from the viewpoint of solubility of the glass.<disp-quote>
							<p>&#x2022;&#x2003;<underline>Mechano-chemical process at ambient temperature (22 &#x00B1; 2&#x00B0;C): statistical analysis.</underline>
							</p>
						</disp-quote>
					</p>
					<fig id="F0008">
						<label>Figure 8</label>
						<caption>
							<p>Si, Al, Ca and Mg oxide solubility in mixed glass: comparison of chemical and mechanical-chemical process at ambient temperature and chemical process at 80&#x00B0;C.</p>
						</caption>
						<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g008.tif"/>
					</fig>
					<p>Of the three processes studied, the mechano-chemical procedure yielded the lowest levels of statistical significance, with no binary or ternary interactions in some cases (see <xref ref-type="table" rid="T0008">Table 8</xref>). Contrary to the findings for type of activating solution in the two preceding methods, here factor D was not significant for silicon oxide dissolution, or in any binary interaction. No simple explanation can be given for this development, which may be associated with the grinding conditions and grinder characteristics. The statistical analysis of the other three oxides yielded findings that were not very different from the statistical results for the chemical procedures, although here calcium oxide was the sole compound to exhibit a third order interaction (interaction BCD).
</p>
					<table-wrap id="T0008">
						<label>Table 8</label>
						<caption>
							<p>P-values for oxide solubility in waste glasses subjected to mechanical-chemical process</p>
						</caption>
						<table frame="hsides" rules="groups">
							<thead>
								<tr>
									<th align="left">Oxide</th>
									<th align="center">Order of factors</th>
									<th align="center">Significant binary interactions</th>
									<th align="center">Significant ternary interactions</th>
								</tr>
							</thead>
							<tbody>
								<tr>
									<td align="left">SiO<sub>2</sub>
									</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> A &#x003E;</bold>D<break/>
										<xref ref-type="table-fn" rid="TF0006">&#x002A;&#x002A;</xref> 0.0000; 0.0000 &#x003E; 0.0174 &#x003E; 0.3157</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> AC &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> BC</bold>&#x003E;AD &#x003E; BD &#x003E; CD &#x003E; AB<break/>0.0309 &#x003E; 0.0334 &#x003E; 0.2749 &#x003E; 0.5963 &#x003E; 0.8245 &#x003E; 0.8482</td>
									<td align="center">None</td>
								</tr>
								<tr>
									<td align="left">Al<sub>2</sub>O<sub>3</sub>
									</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> D &#x003E;</bold>A &#x003E; B<break/>0.0000; 0.0000 &#x003E; 0.4188 &#x003E; 0.9492</td>
									<td align="center">None</td>
									<td align="center">None</td>
								</tr>
								<tr>
									<td align="left">CaO</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> C &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> A</bold>&#x003E;B &#x003E; D<break/>0.0138 &#x003E; 0.0215 &#x003E; 0.0562 &#x003E; 0.1246</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> BC &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> BD</bold>&#x003E;AC &#x003E; AD &#x003E; AB<break/>0.0003 &#x003E; 0.0194 &#x003E; 0.0198 &#x003E; 0.6960 &#x003E; 0.8643 &#x003E; 0.9213</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> BCD</bold>&#x003E;ABD &#x003E; ACD &#x003E; ABC<break/>0.0168 &#x003E; 0.1385 &#x003E; 0.4725 &#x003E; 0.8592</td>
								</tr>
								<tr>
									<td align="left">MgO</td>
									<td align="center">
										<bold>
											<xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> D &#x003E; <xref ref-type="table-fn" rid="TF0005">&#x002A;</xref> C</bold>&#x003E;A &#x003E; B<break/>0.0000 &#x003E; 0.0001 &#x003E; 0.2124 &#x003E; 0.8821</td>
									<td align="center">None</td>
									<td align="center">None</td>
								</tr>
							</tbody>
						</table>
						<table-wrap-foot>
							<fn id="TF0005">
								<label>&#x002A;</label>
								<p>The factors shown in bold are statistically significant.</p>
							</fn>
							<fn id="TF0006">
								<label>&#x002A;&#x002A;</label>
								<p>P-value at 95% confidence level.</p>
							</fn>
						</table-wrap-foot>
					</table-wrap>
				</sec>
			</sec>
			<sec id="S20011">
				<title>3.2. Statistical analysis of the three different methods applied</title>
				<p>The statistical study performed to take the solubilisation methods used (<xref ref-type="table" rid="T0009">Table 9</xref>) into consideration yielded significant values for the all main factors as well as the binary and ternary interactions (<xref ref-type="table" rid="T0010">Table 10</xref>). As noted earlier, the effect of the process used played an important role in glass waste solubilisation and sodium silicates formation, for both network forming and modifying oxides.
</p>
				<table-wrap id="T0009">
					<label>Table 9</label>
					<caption>
						<p>Factors studied and associated levels for a full statistical analysis (for the three processes of dissolution)</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Factor</th>
								<th align="left">Definition</th>
								<th align="center" colspan="6">Associated level</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">A</td>
								<td align="left">Type of glass</td>
								<td align="center" colspan="2">Brown<break/>N<sub>A</sub>=(3)</td>
								<td align="center" colspan="2">Mixed<break/>N<sub>A</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">B</td>
								<td align="left">Particle size</td>
								<td align="center">&#60;45 &#956;m<break/>N<sub>B</sub>=(1)</td>
								<td colspan="2" align="center">45&#8211;90 &#956;m<break/>N<sub>B</sub>=(2)</td>
								<td align="center">&#62;125 &#956;m<break/>N<sub>B</sub>=(3)</td>
							</tr>
							<tr>
								<td align="left">C</td>
								<td align="left">Stirring time</td>
								<td align="center">10 min<break/>N<sub>C</sub>=(1)</td>
								<td align="center">2 hours<break/>N<sub>C</sub>=(2)</td>
								<td align="center">4 hours<break/>N<sub>C</sub>=(3)</td>
								<td align="center">6 hours<break/>N<sub>C</sub>=(4)</td>
							</tr>
							<tr>
								<td align="left">D</td>
								<td align="left">Type of activating solution</td>
								<td colspan="2" align="center">NaOH<break/>N<sub>D</sub>=(2)</td>
								<td colspan="2" align="center">NaOH/Na<sub>2</sub>CO<sub>3</sub>
									<break/>N<sub>D</sub>=(3)</td>
							</tr>
							<tr>
								<td align="left">E</td>
								<td align="left">Process</td>
								<td align="center">Chemical at ambient T N<sub>E</sub>=(1)</td>
								<td colspan="2" align="center">Mechanical-chemical N<sub>E</sub>=(2)</td>
								<td align="center">Chemical at 80&#176;C N<sub>E</sub>=(3)</td>
							</tr>
						</tbody>
					</table>
				</table-wrap>
				<table-wrap id="T0010">
					<label>Table 10</label>
					<caption>
						<p>P-values of the solubility of different oxides in waste glasses considering the dissolution process used</p>
					</caption>
					<table frame="hsides" rules="groups">
						<thead>
							<tr>
								<th align="left">Oxide</th>
								<th align="center">Order of factors</th>
								<th align="center">Significant binary interactions</th>
								<th align="center">Significant ternary interactions</th>
							</tr>
						</thead>
						<tbody>
							<tr>
								<td align="left">SiO<sub>2</sub>
								</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> D; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> E &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> A</bold>
									<break/>
									<xref ref-type="table-fn" rid="TF0008">&#x002A;&#x002A;</xref> 0.000; 0.000; 0.000; 0.000 &#x003E; 0.0002</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> AE; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BE; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CE; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> DE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BC &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> AB &#x003E; CD</bold>
									<break/>0.000; 0.000; 0.000; 0.000 &#x003E; 0.0007 &#x003E; 0.0123 &#x003E; 0.0150</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BCE &#x003E; ABE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CDE</bold>
									<break/>0.0002 &#x003E; 0.0028 &#x003E; 0.0232</td>
							</tr>
							<tr>
								<td align="left">Al<sub>2</sub>O<sub>3</sub>
								</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> B; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> D; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> E &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> A</bold>
									<break/>
									<xref ref-type="table-fn" rid="TF0008">&#x002A;&#x002A;</xref> 0.000; 0.000; 0.000; 0.000 &#x003E; 0.0249</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CE; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> DE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BC &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> AB</bold>
									<break/>0.0000; 0.0000 &#x003E; 0.0001 &#x003E; 0.0003 &#x003E; 0.0050 &#x003E; 0.0502</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BCE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> ABD</bold>
									<break/>0.0001 &#x003E; 0.0011</td>
							</tr>
							<tr>
								<td align="left">CaO</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> C; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> E</bold>&#x003E;A; D &#x003E; B<break/>0.000; 0.000 &#x003E; 0.0597 &#x003E; 0.0738 &#x003E; 0.3725</td>
								<td align="center">
									<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CD; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CE<break/>0.0000; 0.0000</td>
								<td align="center">
									<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CDE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BDE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> ADE<break/>0.0000 &#x003E; 0.0016 &#x003E; 0.0534</td>
							</tr>
							<tr>
								<td align="left">MgO</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> D; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> E &#x003E;</bold>A &#x003E; C&#x003E;B<break/>0.000; 0.000 &#x003E; 0.3658 &#x003E; 0.5494 &#x003E; 0.9076</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CD &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BD &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> AD &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CE</bold>
									<break/>0.0005 &#x003E; 0.0048 &#x003E; 0.0230 &#x003E; 0.0249</td>
								<td align="center">
									<bold>
										<xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> CDE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> BDE &#x003E; <xref ref-type="table-fn" rid="TF0007">&#x002A;</xref> ADE</bold>
									<break/>0.0000 &#x003E; 0.0005 &#x003E; 0.0012</td>
							</tr>
						</tbody>
					</table>
					<table-wrap-foot>
						<fn id="TF0007">
							<label>&#x002A;</label>
							<p>The factors shown in bold are statistically significant.</p>
						</fn>
						<fn id="TF0008">
							<label>&#x002A;&#x002A;</label>
							<p>P-value at 95% confidence level.</p>
						</fn>
					</table-wrap-foot>
				</table-wrap>
				<p>According to the p-values, the solubilisation method used (factor E) was significant in all the oxides studied, both separately and in the binary and ternary interactions. While all the binary interactions were significant for SiO<sub>2</sub> solubility, the interactions involving factor E were the most prominent. All the other main factors studied (A, B, C and D) were significant in binary and ternary interactions with factor E: in other words, regardless of the solubilisation process used, these factors would be altered. This reinforces the importance of temperature in the dissolution of SiO<sub>2</sub> oxide in glass. Aluminium oxide behaved in much the same way as silicon oxide. The solubilisation process was likewise significant for the modifying oxides, although the type of solution used and stirring time prevailed over the other factors.</p>
				<p>The graphs in <xref ref-type="fig" rid="F0009">Figure 9</xref> show that the highest solubility values for all the oxides in glass were attained with chemical process at 80&#x00B0;C. Only minor differences were observed between the other two methods, except for aluminium and magnesium oxide solubility. Mechano-chemical process proved to be more effective for the former and chemical process at ambient temperature for the latter.</p>
				<fig id="F0009">
					<label>Figure 9</label>
					<caption>
						<p>Comparison of dissolution methods used based on the mean solubility of each oxide studied.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g009.tif"/>
				</fig>
			</sec>
			<sec id="S20012">
				<title>3.3. Formation of sodium silicate solution from glass waste dissolution. Study by <sup>29</sup>Si NMR MAS</title>
				<p>From the previous analytical findings in this work has been proved and quantified the SiO<sub>2</sub> contents dissolved from glass wastes. The main objective of this work was to generate solutions of sodium silicates (as potential waterglass solutions) from the different solubilisation process. <xref ref-type="fig" rid="F0010">Figure 10</xref>, in turn, reproduces the <sup>29</sup>Si NMR spectrum for the original glass (mixed glass) and the spectrum for the liquid obtained after treating the glass waste with NaOH/Na<sub>2</sub>CO<sub>3</sub> at 80 &#x00B1; 2&#x00B0;C for 6 hours. The spectrum for the waste glass contained a single signal at around -93 ppm, indicative of the presence of the Q<sup>4</sup> Si units that characterize silica glass. The spectrum for the post treatment liquid, even at short times, exhibited a single signal at around -71ppm, associated with the presence of Q<sup>0</sup> units, i.e., dissolved Si monomers. This is important because according to the literature [30&#x2013;32], the effectiveness of Si in waterglass systems rises with declining condensation and polymerization of the molecule in the medium.</p>
				<fig id="F0010">
					<label>Figure 10</label>
					<caption>
						<p>
							<sup>29</sup>Si MAS NMR spectra for a) untreated solid glass waste; and b) liquid obtained after stirring waste in a NaOH/Na<sub>2</sub>CO<sub>2</sub> solution for 6 hours at 80 &#x00B1; 2 &#x00B0;C.</p>
					</caption>
					<graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="MC201312_e014-05213-g010.tif"/>
				</fig>
				<p>Next step is to demonstrate that these sodium silicate solutions formed from glass wastes can be used as alkaline activator of waterglass family in the preparation of Alkali-Activated Materials (AAMs).</p>
			</sec>
		</sec>
		<sec id="S0013" sec-type="conclusions">
			<title>CONCLUSIONS</title>
			<p>The inferences drawn from the analytical and statistical data are listed below.</p>
			<list list-type="bullet">
				<list-item>
					<p>Of the three solubilisation methods (at ambient temperature (22&#x00B0; &#x00B1; 2&#x00B0;C), at 80&#x00B0; &#x00B1; 2&#x00B0;C and mechano-chemical at ambient temperature) studied, chemical process at 80&#x00B0;C, delivered the highest SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub> solubility, dissolving around 60% of the respective oxides.</p>
				</list-item>
				<list-item>
					<p>The results observed for mechano-chemical and chemical process at ambient temperature were similar</p>
				</list-item>
				<list-item>
					<p>.In all three methods studied, SiO<sub>2</sub> and Al<sub>2</sub>O<sub>3</sub> solubility rose when stirring time was 6 hours, when the glass particle size was under 45 &#x00B5;m and when the alkaline medium was a NaOH/Na<sub>2</sub>CO<sub>3</sub> mix.</p>
				</list-item>
				<list-item>
					<p>The statistical analysis of the percentages of Si, Al, Ca and Mg oxide dissolution confirmed the importance of the factors studied and proved that the activation method used is highly significant in glass dissolution.</p>
				</list-item>
				<list-item>
					<p>Using the NMR <sup>29</sup>Si technique, it has been found that silicon of waste glass dissolved in the dissolution of NaOH/Na<sub>2</sub>CO<sub>3</sub> after 6 hours of stirring and with temperature (80 &#x00B1; 2&#x00B0;C) is as Q<sup>0</sup> monomers. This is important because after we can use this dissolution to activate materials such as slag or fly ash and the results will be very similar when using a commercial waterglass solution.</p>
				</list-item>
			</list>
		</sec>
	</body>
	<back>
		<ack>
			<title>ACKNOWLEDGEMENTS</title>
			<p>This research was funded by the Spanish Ministry of the Economy and Competitiveness under project BIA2010-15516. Thanks to C. Carrillo for her assistance with the ICP analyses and P. Rivilla for her aid with the laboratory trials.</p>
		</ack>
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