<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">AJAC</journal-id><journal-title-group><journal-title>American Journal of Analytical Chemistry</journal-title></journal-title-group><issn pub-type="epub">2156-8251</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ajac.2019.103006</article-id><article-id pub-id-type="publisher-id">AJAC-91003</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Chemistry&amp;Materials Science</subject></subj-group></article-categories><title-group><article-title>
 
 
  29% P&lt;sub&gt;2&lt;/sub&gt;O&lt;sub&gt;5&lt;/sub&gt; Phosphoric Acid Desulphation: Improving the Performance of the Unit of Concentration
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abderrahmane</surname><given-names>Aboulhassane</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Abderrahim</surname><given-names>Najah El Idrissi</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Yassine</surname><given-names>Bounou</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Driss</surname><given-names>Zakaria</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref><xref ref-type="corresp" rid="cor1"><sup>*</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Laboratory of Physical Chemistry of Materials (LPCM), Department of Chemistry, Faculty of Science, Choua&amp;amp;iuml;b Doukkali University, El Jadida, Morocco</addr-line></aff><pub-date pub-type="epub"><day>08</day><month>03</month><year>2019</year></pub-date><volume>10</volume><issue>03</issue><fpage>65</fpage><lpage>75</lpage><history><date date-type="received"><day>5,</day>	<month>January</month>	<year>2019</year></date><date date-type="rev-recd"><day>5,</day>	<month>March</month>	<year>2019</year>	</date><date date-type="accepted"><day>8,</day>	<month>March</month>	<year>2019</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Clogging in the heat exchangers of the phosphoric acid concentration unit is a phenomenon which hinders the proper functioning of the installation. It results in the accumulation of undesirable solid deposits on the pipes and consequently a decrease of its performance. This deposit is mainly anhydrous or hemihydrate gypsum in addition to Na
  <sub>2</sub>SiF
  <sub>6</sub>. Phosphoric acid desulphation before its concentration step allows reducing this undesirable effect. Barium carbonate is used for the retention of sulphate ions using a simple experimental protocol which can easily be inserted into the phosphoric acid manufacturing. Four factors: quality of the phosphoric acid to be concentrated, amount of barium carbonate, temperature and time, were studied using design of experiment (DOE) methodology with two-level full factorial design strategy in order to assess their effects on desulphation. Only the first two factors have significant effects. Therefore, for effective sulphate removal, the validated statistical model (
  R
  <sup>2</sup> = 99.96%) allows to predict the amount of barium carbonate to be used, depending on quality of the phosphoric acid to be concentrated and using the available temperature and time in the industrial process.
 
</p></abstract><kwd-group><kwd>Phosphoric Acid</kwd><kwd> Barium Carbonate</kwd><kwd> Desulphation</kwd><kwd> Protocol Modeling</kwd><kwd> Full Factorial Design</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Manufacturing of phosphoric acid from natural phosphate by sulfuric acid attack inevitably produces impurities such as sulphates, fluorine, organic matter and heavy metals. Sulphate ions, in particular, have about 2% weight, and affect undoubtedly the efficiency of 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid concentration unit, due to the solid formation which causes premature clogging of the phosphoric acid concentration unit. Consequently, there is a 20% or even 30% if one takes into account the washing downtime and the degradation of the heat exchangers, thus increasing the operating cost. The physical-chemical characterizations allowed its identification. In order to minimize the formation of the solid during the phosphoric acid concentration step, we propose to desulphate 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid by barium carbonate using a simple experimental protocol that can be inserted into the industrial process. Design of experiments methodology is used for modeling the process and to determine the optimum conditions depending on the quality of the acid to be pretreated.</p></sec><sec id="s2"><title>2. Instrumentation</title><p>Characterization of sediment were carried out by X-ray diffraction (XRD) on the powder (Bruker advance D8 eco diffractometer with CuKα radiation λ = 1.5418 &#197;). Sulphate was determined by titration with barium chloride and sulfonazo-3 (C<sub>22</sub>H<sub>12</sub>N<sub>4</sub>Na<sub>4</sub>O<sub>14</sub>S<sub>4</sub>) as an indicator. The determination of phosphoric acid impurities was carried out by inductively coupled plasma-emission spectroscopy ICP-OES (Jobin Yvon ULTIMA 2).</p></sec><sec id="s3"><title>3. Phosphoric Acid</title><p>Phosphoric acid was produced from Moroccan fluoroapatite by wet process according to the following equation [<xref ref-type="bibr" rid="scirp.91003-ref1">1</xref>] [<xref ref-type="bibr" rid="scirp.91003-ref2">2</xref>] :</p><p>Ca 1 0 ( PO 4 ) 6 F 2 + 10 H 2 SO 4 + 10 x H 2 O → 6H 3 PO 4 + 10 CaSO 4 ⋅ x H 2 O ↓ +   2HF ↑</p><p>Dependent on the process conditions, such as the temperature, either calcium sulphate hemihydrates (x = 1/2, HH) or dehydrate (x = 2, DH or phospho-gypsum) is formed. In the dihydrate process (DH), the temperature of the reactor is maintained less than 80˚C. The obtained phosphoric acid contains 26% to 29% P<sub>2</sub>O<sub>5</sub> with the main impurities shown in <xref ref-type="table" rid="table1">Table 1</xref>.</p><p>The profile of the concentrated acid (exiting the concentration step), obtained by water evaporation under vacuum, is shown in <xref ref-type="table" rid="table2">Table 2</xref>.</p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Chemical composition of the phosphoric acid before concentration (ρ = 1.267 g/cm<sup>3</sup>)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Elements</th><th align="center" valign="middle" >P<sub>2</sub>O<sub>5</sub></th><th align="center" valign="middle" >Solid</th><th align="center" valign="middle" >SO 4 2 −</th><th align="center" valign="middle" >CaO</th><th align="center" valign="middle" >MgO</th><th align="center" valign="middle" >Fe<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >Al<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >SiO<sub>2</sub></th><th align="center" valign="middle" >F<sup>−</sup></th><th align="center" valign="middle" >Na<sub>2</sub>O</th><th align="center" valign="middle" >K<sub>2</sub>O</th></tr></thead><tr><td align="center" valign="middle" >% weigh</td><td align="center" valign="middle" >27.12</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >1.73</td><td align="center" valign="middle" >0.73</td><td align="center" valign="middle" >1.62</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.42</td><td align="center" valign="middle" >0.73</td><td align="center" valign="middle" >0.06</td><td align="center" valign="middle" >0.06</td></tr></tbody></table></table-wrap><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Chemical composition of the phosphoric acid after concentration (ρ = 1.681 g/cm<sup>3</sup>)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Elements</th><th align="center" valign="middle" >P<sub>2</sub>O<sub>5</sub></th><th align="center" valign="middle" >Solid</th><th align="center" valign="middle" >SO 4 2 −</th><th align="center" valign="middle" >CaO</th><th align="center" valign="middle" >MgO</th><th align="center" valign="middle" >Fe<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >Al<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >SiO<sub>2</sub></th><th align="center" valign="middle" >F<sup>−</sup></th><th align="center" valign="middle" >Na<sub>2</sub>O</th><th align="center" valign="middle" >K<sub>2</sub>O</th></tr></thead><tr><td align="center" valign="middle" >% weigh</td><td align="center" valign="middle" >54.09</td><td align="center" valign="middle" >2.24</td><td align="center" valign="middle" >2.95</td><td align="center" valign="middle" >0.68</td><td align="center" valign="middle" >0.97</td><td align="center" valign="middle" >0.51</td><td align="center" valign="middle" >0.55</td><td align="center" valign="middle" >0.17</td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >0.1</td></tr></tbody></table></table-wrap></sec><sec id="s4"><title>4. Deposit Identification</title><p>The deposited solid during the concentration of 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid is identified using ICP-OES, X-ray diffraction and by monitoring the variation of major impurity mass as a function of the %P<sub>2</sub>O<sub>5</sub> evolution during the phosphoric acid concentration. <xref ref-type="table" rid="table3">Table 3</xref> and <xref ref-type="fig" rid="fig1">Figure 1</xref> show that the solid formed is mainly gypsum [<xref ref-type="bibr" rid="scirp.91003-ref3">3</xref>] , sodium fluosilicate [<xref ref-type="bibr" rid="scirp.91003-ref4">4</xref>] and other minor constituents.</p><p><xref ref-type="table" rid="table4">Table 4</xref> shows the variation of volume, density, P<sub>2</sub>O<sub>5</sub>, solid and major impurities during the concentration of phosphoric acid.</p><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> ICP-OES analysis results for the deposited solid in the heat-exchanger</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Elements</th><th align="center" valign="middle" >SO 4 2 −</th><th align="center" valign="middle" >CaO</th><th align="center" valign="middle" >Al<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >F</th><th align="center" valign="middle" >MgO</th><th align="center" valign="middle" >Na<sub>2</sub>O</th><th align="center" valign="middle" >SiO<sub>2</sub></th><th align="center" valign="middle" >K<sub>2</sub>O</th><th align="center" valign="middle" >Fe<sub>2</sub>O<sub>3</sub></th><th align="center" valign="middle" >P<sub>2</sub>O<sub>5</sub></th></tr></thead><tr><td align="center" valign="middle" >% weigh</td><td align="center" valign="middle" >49.5</td><td align="center" valign="middle" >33.5</td><td align="center" valign="middle" >2.75</td><td align="center" valign="middle" >2.5</td><td align="center" valign="middle" >1.26</td><td align="center" valign="middle" >0.56</td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.06</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >1.75</td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Profile variation of phosphoric acid during the concentration step</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"  >Volume of acid (litre)</th><th align="center" valign="middle" >1</th><th align="center" valign="middle" >0.851</th><th align="center" valign="middle" >0.727</th><th align="center" valign="middle" >0.651</th><th align="center" valign="middle" >0.571</th><th align="center" valign="middle" >0.514</th><th align="center" valign="middle" >0.487</th><th align="center" valign="middle" >0.414</th><th align="center" valign="middle" >0.34</th></tr></thead><tr><td align="center" valign="middle"  colspan="2"  >Density (g/litre)</td><td align="center" valign="middle" >1292</td><td align="center" valign="middle" >1330</td><td align="center" valign="middle" >1377</td><td align="center" valign="middle" >1424</td><td align="center" valign="middle" >1483</td><td align="center" valign="middle" >1530</td><td align="center" valign="middle" >1557</td><td align="center" valign="middle" >1645</td><td align="center" valign="middle" >1765</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >P<sub>2</sub>O<sub>5</sub></td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >27.5</td><td align="center" valign="middle" >31.3</td><td align="center" valign="middle" >35.4</td><td align="center" valign="middle" >38.3</td><td align="center" valign="middle" >41.9</td><td align="center" valign="middle" >45.1</td><td align="center" valign="middle" >46.8</td><td align="center" valign="middle" >52.1</td><td align="center" valign="middle" >59.2</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td><td align="center" valign="middle" >354.78</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Solid (Ts)</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.1</td><td align="center" valign="middle" >0.12</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.66</td><td align="center" valign="middle" >1.24</td><td align="center" valign="middle" >1.83</td><td align="center" valign="middle" >1.15</td><td align="center" valign="middle" >1.04</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >1.03</td><td align="center" valign="middle" >1.13</td><td align="center" valign="middle" >1.2</td><td align="center" valign="middle" >2.22</td><td align="center" valign="middle" >5.591</td><td align="center" valign="middle" >9.76</td><td align="center" valign="middle" >13.9</td><td align="center" valign="middle" >7.83</td><td align="center" valign="middle" >6.23</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Al<sub>2</sub>O<sub>3</sub></td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.21</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.29</td><td align="center" valign="middle" >0.34</td><td align="center" valign="middle" >0.36</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >0.42</td><td align="center" valign="middle" >0.45</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >2.71</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >2.8</td><td align="center" valign="middle" >2.69</td><td align="center" valign="middle" >2.88</td><td align="center" valign="middle" >2.83</td><td align="center" valign="middle" >2.88</td><td align="center" valign="middle" >2.86</td><td align="center" valign="middle" >2.7</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Fe<sub>2</sub>O<sub>3</sub></td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.27</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >0.38</td><td align="center" valign="middle" >0.42</td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >0.47</td><td align="center" valign="middle" >0.52</td><td align="center" valign="middle" >0.57</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >3.49</td><td align="center" valign="middle" >3.4</td><td align="center" valign="middle" >3.5</td><td align="center" valign="middle" >3.52</td><td align="center" valign="middle" >3.558</td><td align="center" valign="middle" >3.54</td><td align="center" valign="middle" >3.56</td><td align="center" valign="middle" >3.54</td><td align="center" valign="middle" >3.42</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >MgO</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.47</td><td align="center" valign="middle" >0.53</td><td align="center" valign="middle" >0.6</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.73</td><td align="center" valign="middle" >0.74</td><td align="center" valign="middle" >0.77</td><td align="center" valign="middle" >0.91</td><td align="center" valign="middle" >1</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >6.07</td><td align="center" valign="middle" >6</td><td align="center" valign="middle" >6.01</td><td align="center" valign="middle" >6.02</td><td align="center" valign="middle" >6.184</td><td align="center" valign="middle" >5.83</td><td align="center" valign="middle" >5.84</td><td align="center" valign="middle" >6.196</td><td align="center" valign="middle" >5.99</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >CaO</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.09</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >1.16</td><td align="center" valign="middle" >0.79</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.169</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.068</td><td align="center" valign="middle" >0.06</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >SO 4 2 −</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >1.46</td><td align="center" valign="middle" >1.61</td><td align="center" valign="middle" >1.72</td><td align="center" valign="middle" >1.88</td><td align="center" valign="middle" >1.97</td><td align="center" valign="middle" >2.14</td><td align="center" valign="middle" >2.19</td><td align="center" valign="middle" >2.42</td><td align="center" valign="middle" >2.73</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >18.9</td><td align="center" valign="middle" >18.2</td><td align="center" valign="middle" >17.2</td><td align="center" valign="middle" >17.4</td><td align="center" valign="middle" >16.69</td><td align="center" valign="middle" >16.8</td><td align="center" valign="middle" >16.6</td><td align="center" valign="middle" >16.48</td><td align="center" valign="middle" >16.4</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >SiO<sub>2</sub></td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.35</td><td align="center" valign="middle" >0.40</td><td align="center" valign="middle" >0.44</td><td align="center" valign="middle" >0.4</td><td align="center" valign="middle" >0.32</td><td align="center" valign="middle" >0.22</td><td align="center" valign="middle" >0.16</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >0.02</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >4.52</td><td align="center" valign="middle" >4.53</td><td align="center" valign="middle" >4.41</td><td align="center" valign="middle" >3.71</td><td align="center" valign="middle" >2.711</td><td align="center" valign="middle" >1.73</td><td align="center" valign="middle" >1.21</td><td align="center" valign="middle" >0.477</td><td align="center" valign="middle" >0.12</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >F<sup>−</sup></td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.09</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.07</td><td align="center" valign="middle" >0.06</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >1.16</td><td align="center" valign="middle" >0.91</td><td align="center" valign="middle" >0.8</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.508</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.204</td><td align="center" valign="middle" >0.18</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Na<sub>2</sub>O</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.05</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.02</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.01</td><td align="center" valign="middle" >0.09</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >0.65</td><td align="center" valign="middle" >0.45</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.19</td><td align="center" valign="middle" >0.085</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.08</td><td align="center" valign="middle" >0.068</td><td align="center" valign="middle" >0.54</td></tr><tr><td align="center" valign="middle"  rowspan="2"  >K<sub>2</sub>O</td><td align="center" valign="middle" >% w</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.03</td><td align="center" valign="middle" >0.04</td><td align="center" valign="middle" >0.06</td></tr><tr><td align="center" valign="middle" >weigh (g)</td><td align="center" valign="middle" >0.39</td><td align="center" valign="middle" >0.34</td><td align="center" valign="middle" >0.3</td><td align="center" valign="middle" >0.28</td><td align="center" valign="middle" >0.254</td><td align="center" valign="middle" >0.24</td><td align="center" valign="middle" >0.23</td><td align="center" valign="middle" >0.272</td><td align="center" valign="middle" >0.36</td></tr></tbody></table></table-wrap><p><xref ref-type="fig" rid="fig2">Figure 2</xref> shows the profile variation of phosphoric acid during the concentration step. The masses of SO 4 2 − , CaO, F<sup>−</sup>, SiO<sub>2</sub>, K<sub>2</sub>O and Na<sub>2</sub>O are decreased, while the masses of MgO, Al<sub>2</sub>O<sub>3</sub> and Fe<sub>2</sub>O<sub>3</sub> remain virtually constant during the concentration. This explains the formation of gypsum and (Na, K)<sub>2</sub>SiF<sub>6</sub>. From 47% of P<sub>2</sub>O<sub>5</sub>, dissolution of the solid and especially the sodium or potassium fluosilicate due to the evaporation of fluorine and silicon in the form of HF and SiF<sub>4</sub> [<xref ref-type="bibr" rid="scirp.91003-ref5">5</xref>] is observed, which leads to an increase in the solubility of (Na, K)<sub>2</sub>SiF<sub>6</sub> (<xref ref-type="fig" rid="fig2">Figure 2</xref>(a)) and consequently the decrease of its content in the formed solid.</p><p>Solid deposit accumulation in the heat exchangers reduces the phosphoric acid cross-section and causes additional thermal resistance which subsequently increases the steam specific consumption and the pressure inside the heat-exchangers (<xref ref-type="fig" rid="fig3">Figure 3</xref>) [<xref ref-type="bibr" rid="scirp.91003-ref6">6</xref>] . As a result, significant decrease in productivity can be estimated to 30% less per production cycle (7 days).</p><p>In the light of these results, it is recommended to avoid the formation of this deposit by desulphation of phosphoric acid using barium carbonate before the concentration step.</p></sec><sec id="s5"><title>5. Desulphation of 29% P<sub>2</sub>O<sub>5</sub> Phosphoric Acid</title><p>The protocol of 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid desulphation is judiciously chosen to be easily inserted into the phosphoric acid manufacturing process (<xref ref-type="fig" rid="fig4">Figure 4</xref>). Volume of phosphoric acid containing an initial quantity of H<sub>2</sub>SO<sub>4</sub> (X<sub>1</sub> = quantity of initial H<sub>2</sub>SO<sub>4</sub> per volume of acid) is heated to the desired temperature (X<sub>3</sub>) in a stirred reactor and then a quantity (X<sub>2</sub>) of BaCO<sub>3</sub> is introduced. After a reaction time (X<sub>4</sub>), the mixture is decanted to obtain 29% P<sub>2</sub>O<sub>5</sub> acid intended to be concentrated with a low level of sulphate to prevent solid formation at the heat exchangers.</p><p>In order to determine the optimum conditions for the desulphation process, we proceed by modeling the amount of residual H<sub>2</sub>SO<sub>4</sub> as a function of the inlet phosphoric acid quality and the operating conditions (q, T, t).</p></sec><sec id="s6"><title>6. Results and Discussion</title><p>DOE methodology with two-levels full factorial design strategy, which assumes that the mean response can be adjusted correctly using a linear model, reduces the number of trials to determine with great precision the effects of the factors and their interactions on the response and avoids the alias phenomenon [<xref ref-type="bibr" rid="scirp.91003-ref7">7</xref>] . Four factors were studied to determine their effects on the desulphation process, namely: X<sub>1</sub>: initial H<sub>2</sub>SO<sub>4</sub> rate in g/l (reflecting the quality of phosphoric acid), X<sub>2</sub> the amount of barium carbonate in g/l, X<sub>3</sub> la Temperature in ˚C and X<sub>4</sub> the time in min. The response to be minimized is the residual rate of H<sub>2</sub>SO<sub>4</sub> (Y in g/l). The amount of the phosphoric acid to be treated is fixed at 100 ml. The experimental field of variation of these factors (<xref ref-type="table" rid="table5">Table 5</xref>) takes into account the range of qualities that can be obtained for phosphoric acid and the operating conditions available on the industrial site.</p><p>For four factors and two levels, 16 trials (2<sup>4</sup>) were performed under the conditions established by the methodology of the two-levels full factorial design. The results obtained are summarized in <xref ref-type="table" rid="table6">Table 6</xref>.</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Experimental field</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Factors</th><th align="center" valign="middle" >Amount of initial H<sub>2</sub>SO<sub>4</sub> (in g/l): X<sub>1</sub></th><th align="center" valign="middle" >Amount of BaCO<sub>3</sub> (in g/l): X<sub>2</sub></th><th align="center" valign="middle" >Temperature (in ˚C): X<sub>3</sub></th><th align="center" valign="middle" >Time (in mn): X<sub>4</sub></th></tr></thead><tr><td align="center" valign="middle" >Level (−1)</td><td align="center" valign="middle" >17.0</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >25</td></tr><tr><td align="center" valign="middle" >Level (+1)</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >60</td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Results of conducted experiments</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >N˚</th><th align="center" valign="middle"  colspan="4"  >Codified values</th><th align="center" valign="middle"  colspan="4"  >True values</th><th align="center" valign="middle" >Response</th></tr></thead><tr><td align="center" valign="middle" >X<sub>1</sub></td><td align="center" valign="middle" >X<sub>2</sub></td><td align="center" valign="middle" >X<sub>3</sub></td><td align="center" valign="middle" >X<sub>4</sub></td><td align="center" valign="middle" >X<sub>1</sub></td><td align="center" valign="middle" >X<sub>2</sub></td><td align="center" valign="middle" >X<sub>3</sub></td><td align="center" valign="middle" >X<sub>4</sub></td><td align="center" valign="middle" >Y Obs.</td></tr><tr><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >8.085</td></tr><tr><td align="center" valign="middle" >2</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >21.56</td></tr><tr><td align="center" valign="middle" >3</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >4</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >6.86</td></tr><tr><td align="center" valign="middle" >5</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >7.84</td></tr><tr><td align="center" valign="middle" >6</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >21.56</td></tr><tr><td align="center" valign="middle" >7</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >8</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >6.86</td></tr><tr><td align="center" valign="middle" >9</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >7.595</td></tr><tr><td align="center" valign="middle" >10</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >21.07</td></tr><tr><td align="center" valign="middle" >11</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >12</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >6.615</td></tr><tr><td align="center" valign="middle" >13</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >7.84</td></tr><tr><td align="center" valign="middle" >14</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2.94</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >21.315</td></tr><tr><td align="center" valign="middle" >15</td><td align="center" valign="middle" >−1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >17</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >0</td></tr><tr><td align="center" valign="middle" >16</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >1</td><td align="center" valign="middle" >2.94</td><td align="center" valign="middle" >40</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >60</td><td align="center" valign="middle" >6.86</td></tr><tr><td align="center" valign="middle" >17</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >0</td><td align="center" valign="middle" >23.2</td><td align="center" valign="middle" >27.5</td><td align="center" valign="middle" >57</td><td align="center" valign="middle" >42.5</td><td align="center" valign="middle" >9.065</td></tr></tbody></table></table-wrap><p>Obs.: Observed.</p><p>The codified mathematical model is written in the form (Equation (1))</p><p>Y = b 0 + b 1 X 1 + b 2 X 2 + b 3 X 3 + b 4 X 4 + b 12 X 1 X 2 + b 13 X 1 X 3 + b 14 X 1 X 4     + b 23 X 2 X 3 + b 24 X 2 X 4 + b 34 X 3 X 4 + b 123 X 1 X 2 X 3 + b 124 X 1 X 2 X 4     + b 134 X 1 X 3 X 4 + b 234 X 2 X 3 X 4 + b 1234 X 1 X 2 X 3 X 4 + ε (1)</p><p>where Y is the amount of residual sulphate (response to be fitted and to be minimized), X<sub>1</sub>, X<sub>2</sub>, X<sub>3</sub> and X<sub>4</sub> (factors in codified units), b<sub>0</sub> is the global mean, b<sub>i</sub> are the effects of the main and interaction factors and ε is the random error associated with the response. The results of <xref ref-type="table" rid="table6">Table 6</xref> are treated by the JMP-SAS software to evaluate the effects of different factors with and without interaction on the residual rate of H<sub>2</sub>SO<sub>4</sub> (Y in g/l) to analyze and validate the mathematical model obtained. Statistical analysis by STUDENT test for 5% risk made it possible to identify the factors having a significant influence on the observed response [<xref ref-type="bibr" rid="scirp.91003-ref8">8</xref>] . <xref ref-type="table" rid="table7">Table 7</xref> present the effects, t ratio and p value of each factor.</p><p>Factors that have statistically significant effects on desulphation are: X<sub>1</sub>, X<sub>2</sub> and the interaction between them X<sub>1</sub> &#215; X<sub>2</sub> (p value &lt; 0.05).</p><p>Taking into account the values of t ratios (<xref ref-type="table" rid="table7">Table 7</xref>) and the factor effects graph (<xref ref-type="fig" rid="fig5">Figure 5</xref>), it is found that the initial quality of the acid (X<sub>1</sub>) and the amount of the barium carbonate (X<sub>2</sub>) have a significant and antagonistic effect on the residual content of the sulphates (Y) while the temperature (X<sub>3</sub>) and the time (X<sub>4</sub>) have no effect on the desulphation process due to the high affinity between barium ions and sulphate ion.</p><table-wrap id="table7" ><label><xref ref-type="table" rid="table7">Table 7</xref></label><caption><title> Analysis of the effects of variables</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Term</th><th align="center" valign="middle" >Scaled Estimate</th><th align="center" valign="middle" >Plot Estimate</th><th align="center" valign="middle" >Std Error</th><th align="center" valign="middle" >t Ratio</th><th align="center" valign="middle" >Prob &gt; |t|</th></tr></thead><tr><td align="center" valign="middle" >Intercept</td><td align="center" valign="middle" >9.0074</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x16.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0144</td><td align="center" valign="middle" >625.00</td><td align="center" valign="middle" >0.0010</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub></td><td align="center" valign="middle" >5.0838</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x17.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >342.22</td><td align="center" valign="middle" >0.0019</td></tr><tr><td align="center" valign="middle" >X<sub>2</sub></td><td align="center" valign="middle" >−5.6044</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x18.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >−377.26</td><td align="center" valign="middle" >0.0017</td></tr><tr><td align="center" valign="middle" >X<sub>3</sub></td><td align="center" valign="middle" >0.0306</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x19.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >2.06</td><td align="center" valign="middle" >0.2875</td></tr><tr><td align="center" valign="middle" >X<sub>4</sub></td><td align="center" valign="middle" >−0.0919</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x20.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >−6.18</td><td align="center" valign="middle" >0.1021</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>2</sub></td><td align="center" valign="middle" >−1.6844</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x21.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >−113.39</td><td align="center" valign="middle" >0.0056</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>3</sub></td><td align="center" valign="middle" >0.0306</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x22.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >2.06</td><td align="center" valign="middle" >0.2875</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >−0.0306</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x23.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >−2.06</td><td align="center" valign="middle" >0.2875</td></tr><tr><td align="center" valign="middle" >X<sub>2</sub> &#215; X<sub>3</sub></td><td align="center" valign="middle" >0.0000</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x24.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >1.0000</td></tr><tr><td align="center" valign="middle" >X<sub>2</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >0.0613</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x25.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >4.12</td><td align="center" valign="middle" >0.1515</td></tr><tr><td align="center" valign="middle" >X<sub>3</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >0.0613</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x26.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >4.12</td><td align="center" valign="middle" >0.1515</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>2</sub> &#215; X<sub>3</sub></td><td align="center" valign="middle" >0.0000</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x27.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >1.0000</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>2</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >0.0000</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x28.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >1.0000</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>3</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >0.0000</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x29.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >0.00</td><td align="center" valign="middle" >1.0000</td></tr><tr><td align="center" valign="middle" >X<sub>2</sub> &#215; X<sub>3</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >−0.0306</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x30.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >−2.06</td><td align="center" valign="middle" >0.2875</td></tr><tr><td align="center" valign="middle" >X<sub>1</sub> &#215; X<sub>2</sub> &#215; X<sub>3</sub> &#215; X<sub>4</sub></td><td align="center" valign="middle" >0.0306</td><td align="center" valign="middle" ><inline-formula><inline-graphic xlink:href="/html.scirp.org/file/1-2201783x31.png" xlink:type="simple"/></inline-formula></td><td align="center" valign="middle" >0.0149</td><td align="center" valign="middle" >2.06</td><td align="center" valign="middle" >0.2875</td></tr></tbody></table></table-wrap><p>The mathematical model is therefore written in the form (Equation (2)):</p><p>Y = 9.0074 + 5.0838 ∗ X 1 − 5.6044 ∗ X 2 − 1.6844 ∗ X 1 ∗ X 2 (2)</p><p>ANOVA (Analysis of variance) shown in <xref ref-type="table" rid="table8">Table 8</xref> confirms the statistical validity of the mathematical model with a determination factor R<sup>2</sup> of 99.96%. The graphical fit of the model (<xref ref-type="fig" rid="fig6">Figure 6</xref>) shows that the estimated responses (Y<sub>est</sub>) by the experimental data with a correlation factor R<sup>2</sup> = 99.9%.</p><p>Additional tests (<xref ref-type="table" rid="table9">Table 9</xref>) were carried out in the experimental field with experimental conditions not used in the experimental matrix (<xref ref-type="table" rid="table6">Table 6</xref>). The residual between the observed (Y<sub>obs</sub>) and the estimated (Y<sub>est</sub>) results is not significant. The desulphation protocol can therefore be represented by the mathematical model (Equation (2)) in order to determine the optimum experimental conditions for efficient reduction of sulphates, depending on the quality of the phosphoric acid to be treated (X<sub>1</sub>).</p><p>For economic reasons, 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid can be pre-treated at its temperature upon its arrival in the desulphation reactor (74˚C) and for a time which does not affect the phosphoric acid manufacturing process (60 min). Depending on the phosphoric acid quality to be pre-treated, the amount of barium carbonate is determined using Equation (3) where Y Tolerated is the maximum residual amount of H<sub>2</sub>SO<sub>4</sub> having no effect on the formation of deposit solid during the phosphoric acid concentration step.</p><p>X 2 = 9.0074 − Y tolerated + 5.0838 ∗ X 1 5.6044 + 1.6844 ∗ X 1 (3)</p><p>According to <xref ref-type="table" rid="table2">Table 2</xref>, phosphoric acid 54% P<sub>2</sub>O<sub>5</sub>, obtained from 29% P<sub>2</sub>O<sub>5</sub> acid non-desulphated, is saturated with sulphate and calcium (2.95% SO 4 2 − and 0.68% CaO) which corresponds to a concentration of 49.59 g/l of sulphate and 8.16 g/l of calcium given a solubility product of 404.89 (g/l)<sup>2</sup>. In the case of desulphation the mass of the calcium initially present in the acid 29% is preserved in the acid 54% with a concentration of 17.25 g/l. Therefore, the sulphate concentration in the 54% acid at saturation should be 23.46 g/l. The maximum residual mass of Tolerated Sulphate Y<sub>Tolerated</sub> is 8.97 g/l.</p><p>For example, for an initial acid with quality of X<sub>1</sub> = 22 g H<sub>2</sub>SO<sub>4</sub>/l and Y<sub>Tolerated</sub> = 8.97 g/l, the amount of BaCO<sub>3</sub> to be used for desulphation is 25.25 g/l. After concentration of the desulphated acid, the total amount of the formed solid is</p><table-wrap id="table8" ><label><xref ref-type="table" rid="table8">Table 8</xref></label><caption><title> Analyze of variance (ANOVA)</title></caption><table><tbody><thead><tr><th align="center" valign="middle" ></th><th align="center" valign="middle" >DF</th><th align="center" valign="middle" >Sum of Squares</th><th align="center" valign="middle" >Mean Square</th><th align="center" valign="middle" >F Ratio</th></tr></thead><tr><td align="center" valign="middle" >Source</td><td align="center" valign="middle" >3</td><td align="center" valign="middle" >961.45044</td><td align="center" valign="middle" >320.4835</td><td align="center" valign="middle" >11649.09</td></tr><tr><td align="center" valign="middle" >Error</td><td align="center" valign="middle" >12</td><td align="center" valign="middle" >0.33014</td><td align="center" valign="middle" >0.0275</td><td align="center" valign="middle" ></td></tr><tr><td align="center" valign="middle" >Model</td><td align="center" valign="middle" >15</td><td align="center" valign="middle" >961.78057</td><td align="center" valign="middle" >64.1187</td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table9" ><label><xref ref-type="table" rid="table9">Table 9</xref></label><caption><title> Results of additional tests</title></caption><table><tbody><thead><tr><th align="center" valign="middle" >Amount of H<sub>2</sub>SO<sub>4</sub> (in g/l): X<sub>1</sub></th><th align="center" valign="middle" >Amount of BaCO<sub>3</sub> (in g/l): X<sub>2</sub></th><th align="center" valign="middle" >Temperature (in ˚C): X<sub>3</sub></th><th align="center" valign="middle" >Time (in mn): X<sub>4</sub></th><th align="center" valign="middle" >Y Obs. (in g/l)</th><th align="center" valign="middle" >Y Est. (in g/l)</th><th align="center" valign="middle" >Residual</th></tr></thead><tr><td align="center" valign="middle" >21.8</td><td align="center" valign="middle" >31</td><td align="center" valign="middle" >57</td><td align="center" valign="middle" >42.5</td><td align="center" valign="middle" >6.125</td><td align="center" valign="middle" >6.397</td><td align="center" valign="middle" >−0.272</td></tr><tr><td align="center" valign="middle" >21.8</td><td align="center" valign="middle" >16</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >12.740</td><td align="center" valign="middle" >12.666</td><td align="center" valign="middle" >0.074</td></tr><tr><td align="center" valign="middle" >23.2</td><td align="center" valign="middle" >27.5</td><td align="center" valign="middle" >57</td><td align="center" valign="middle" >42.5</td><td align="center" valign="middle" >9.065</td><td align="center" valign="middle" >9.007</td><td align="center" valign="middle" >0.058</td></tr><tr><td align="center" valign="middle" >29.4</td><td align="center" valign="middle" >20</td><td align="center" valign="middle" >74</td><td align="center" valign="middle" >25</td><td align="center" valign="middle" >18.620</td><td align="center" valign="middle" >18.464</td><td align="center" valign="middle" >0.156</td></tr></tbody></table></table-wrap><p>Obs.: Observed; Est.: Estimated.</p><p>0.37% instead of 2.24% (<xref ref-type="table" rid="table2">Table 2</xref>), without taking into account the solid deposited at the heat exchanger for the second value. This represents a reduction rate of formed solid around 83.5% at least.</p><p>For industrial scale, desulphation by barium carbonate can be carried out directly at the level of the aging tank without addition of specific equipment to the phosphoric acid manufacturing unit (<xref ref-type="fig" rid="fig7">Figure 7</xref>).</p></sec><sec id="s7"><title>7. Conclusion</title><p>Deposition of gypsum during the 29% P<sub>2</sub>O<sub>5</sub> phosphoric acid concentration stage is a real technical-economic problem for producing phosphoric acid 54% P<sub>2</sub>O<sub>5</sub>. Physico-chemical characterization by ICP-OES and X-ray diffraction showed that this deposit is mainly composed by gypsum and low amount of fluosilicates. Desulphation of phosphoric acid 29% P<sub>2</sub>O<sub>5</sub> by barium carbonate will reduce the</p><p>formation of gypsum in the concentrator. The proposed desulphation protocol can be easily inserted into the industrial process; it is limited to a simple attack of phosphoric acid 29% P<sub>2</sub>O<sub>5</sub> by BaCO<sub>3</sub> under stirring. Regarding to DOE methodology based on the strategy of full factorial design, taking into account the initial amount of H<sub>2</sub>SO<sub>4</sub> in phosphoric acid 29% P<sub>2</sub>O<sub>5</sub>, the amount of barium carbonate, temperature and reaction time, it has been shown that only the quality of the acid and the amount of BaCO<sub>3</sub> have a significant effect on desulphation. The model obtained is validated with R<sup>2</sup> = 99.96% and can be used to determine the effective amount of BaCO<sub>3</sub> as a function of the phosphoric acid quality and the maximum residual mass of H<sub>2</sub>SO<sub>4</sub> to avoid the formation of gypsum. The amount of the solid formed can therefore be reduced to 83.5%. This improves the production cycle and reduces maintenance and operating costs.</p></sec><sec id="s8"><title>Acknowledgements</title><p>“Research carried out within the framework of the University Center for Research Applied Chemistry and Sustainable Development CUR CA2D of Choua&#239;b Doukkali University”.</p></sec><sec id="s9"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s10"><title>Cite this paper</title><p>Aboulhassane, A., El Idrissi, A.N., Bounou, Y. and Zakaria, D. (2019) 29% P<sub>2</sub>O<sub>5</sub> Phosphoric Acid Desulphation: Improving the Performance of the Unit of Concentration. American Journal of Analytical Chemistry, 10, 65-75. https://doi.org/10.4236/ajac.2019.103006</p></sec></body><back><ref-list><title>References</title><ref id="scirp.91003-ref1"><label>1</label><mixed-citation publication-type="other" xlink:type="simple">Becker, P. 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