<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>1794-9165</journal-id>
<journal-title><![CDATA[Ingeniería y Ciencia]]></journal-title>
<abbrev-journal-title><![CDATA[ing.cienc.]]></abbrev-journal-title>
<issn>1794-9165</issn>
<publisher>
<publisher-name><![CDATA[Escuela de Ciencias y Humanidades y Escuela de Ingeniería de la Universidad EAFIT]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1794-91652019000200081</article-id>
<article-id pub-id-type="doi">10.17230/ingciencia.15.30.4</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Critical Constants Correlation from van der Waals Equation]]></article-title>
<article-title xml:lang="es"><![CDATA[Correlación de constantes críticas a partir de la ecuación de van der Waals]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Martínez-Vitela]]></surname>
<given-names><![CDATA[Mario Alberto]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Gracia-Fadrique]]></surname>
<given-names><![CDATA[Jesús]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Química ]]></institution>
<addr-line><![CDATA[Ciudad de México ]]></addr-line>
<country>Mexico</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,Universidad Nacional Autónoma de México Facultad de Química ]]></institution>
<addr-line><![CDATA[Ciudad de México ]]></addr-line>
<country>Mexico</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>12</month>
<year>2019</year>
</pub-date>
<volume>15</volume>
<numero>30</numero>
<fpage>81</fpage>
<lpage>99</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_arttext&amp;pid=S1794-91652019000200081&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_abstract&amp;pid=S1794-91652019000200081&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.co/scielo.php?script=sci_pdf&amp;pid=S1794-91652019000200081&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The cubic van der Waals equation of state at the critical condition is reduced to a linear function (Vc vs. Tc/Pc coordinates) with one adjustable parameter. It is shown that at the critical point the relation Vc = 3Vo must not hold as van der Waals suggested, but the attractive constant &#945; = Pc Vc2 remains. Selected values of Tc, Pc, Vc compiled by Ihmels where focused on testing the quality of several empirical equations relating critical conditions. It is shown that the obtained critical constants correlation is a general form of the empirical expressions proposed by Young, Meissner, Bird, Grigoras and Ihmels. From the resulting correlation function, a function for the critical compressibility is proposed. The critical volume Vc and the ratio Tc/Pc have been expressed in group contributions.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen La ecuación de estado cúbica de van der Waals en la condición crítica se reduce a una función lineal (en coordenadas Vc frente a Tc/Pc ) con un parámetro de ajuste. Se muestra que en el punto crítico, la constante Vc = 3Vo debe efectivamente descartarse como hizo van der Waals, no así con la constante atractiva &#945; = Pc Vc2. Los valores seleccionados de Tc, Pc, Vc compilados por Ihmels se enfocaron en probar la calidad de varias ecuaciones empíricas renombradas que relacionan condiciones críticas. En este artículo se muestra que la correlación de constantes crítica obtenida es una forma general de estas expresiones empíricas propuestas por Young, Meissner, Bird, Grigoras e Ihmels. Se propone una función para la compresibilidad crítica, única por familia homóloga. El volumen crítico Vc y la relación Tc/Pc se expresa en función de contribución de grupos.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Van der Waals]]></kwd>
<kwd lng="en"><![CDATA[critical point]]></kwd>
<kwd lng="en"><![CDATA[equation of state]]></kwd>
<kwd lng="en"><![CDATA[empirical correlations]]></kwd>
<kwd lng="en"><![CDATA[group contributions]]></kwd>
<kwd lng="es"><![CDATA[Van der Waals]]></kwd>
<kwd lng="es"><![CDATA[punto crítico]]></kwd>
<kwd lng="es"><![CDATA[ecuación de estado]]></kwd>
<kwd lng="es"><![CDATA[correlaciones empíricas]]></kwd>
<kwd lng="es"><![CDATA[contribuciones por grupo]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>[1]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Guggenheim]]></surname>
<given-names><![CDATA[E. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The principle of corresponding states]]></article-title>
<source><![CDATA[The Journal of Chemical Physics]]></source>
<year>1945</year>
<volume>13</volume>
<page-range>253-61</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>[2]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[van der Waals]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
</person-group>
<source><![CDATA[Over de continuiteit van den gasen vloeistoftoestand]]></source>
<year>1873</year>
<publisher-loc><![CDATA[Leiden ]]></publisher-loc>
</nlm-citation>
</ref>
<ref id="B3">
<label>[3]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Young]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[On the law of cailletet and mathias and the critical density]]></article-title>
<source><![CDATA[Proc.Phys. Soc., London]]></source>
<year>1899</year>
</nlm-citation>
</ref>
<ref id="B4">
<label>[4]</label><nlm-citation citation-type="">
<person-group person-group-type="author">
<name>
<surname><![CDATA[van der Waals]]></surname>
<given-names><![CDATA[J. D.]]></given-names>
</name>
</person-group>
<source><![CDATA[The equation of state for gases and liquids. The Nobel Prize Organisation]]></source>
<year>1912</year>
<month>,</month>
</nlm-citation>
</ref>
<ref id="B5">
<label>[5]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Velasco]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Santos]]></surname>
<given-names><![CDATA[M. J.]]></given-names>
</name>
<name>
<surname><![CDATA[White]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Consistency of vapor pressure equations at the critical point]]></article-title>
<source><![CDATA[Industrial &amp; Engineering Chemistry Research]]></source>
<year>2015</year>
<volume>54</volume>
<page-range>12 993-8</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>[6]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Zuo]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
<name>
<surname><![CDATA[Wu]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Chen]]></surname>
<given-names><![CDATA[L.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The new method for correlation and prediction of thermophysical properties of fluids. critical temperature]]></article-title>
<source><![CDATA[Journal of Chemical and Engineering Data]]></source>
<year>2017</year>
<volume>62</volume>
<numero>11</numero>
<issue>11</issue>
<page-range>3723-31</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>[7]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mersmann]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Kind]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Prediction of mechanical and thermal properties of pure liquids, of critical data, and of vapor pressure]]></article-title>
<source><![CDATA[Industrial &amp; Engineering Chemistry Research]]></source>
<year>2017</year>
<volume>56</volume>
<page-range>1633-45</page-range></nlm-citation>
</ref>
<ref id="B8">
<label>[8]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<given-names><![CDATA[Cailletet]]></given-names>
</name>
<name>
<given-names><![CDATA[Mathias]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Recherches sur les densites des gaz liquefies et de leurs vapeurs saturees]]></article-title>
<source><![CDATA[Journal de Physique Theorique et Appliquee]]></source>
<year>1886</year>
<volume>5</volume>
<page-range>549-64</page-range></nlm-citation>
</ref>
<ref id="B9">
<label>[9]</label><nlm-citation citation-type="journal">
<article-title xml:lang=""><![CDATA[The critical surface]]></article-title>
<source><![CDATA[Journal of Chemical and Engineering Data]]></source>
<year>2010</year>
<volume>55</volume>
<numero>9</numero>
<issue>9</issue>
<page-range>3474-80</page-range></nlm-citation>
</ref>
<ref id="B10">
<label>[10]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Meissner]]></surname>
<given-names><![CDATA[H. P.]]></given-names>
</name>
<name>
<surname><![CDATA[Redding]]></surname>
<given-names><![CDATA[E. M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Prediction of critical constants]]></article-title>
<source><![CDATA[Industrial and Engineering Chemistry]]></source>
<year>1942</year>
<volume>34</volume>
<numero>5</numero>
<issue>5</issue>
<page-range>521-6</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>[11]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Bird]]></surname>
<given-names><![CDATA[R. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Hirschfelder]]></surname>
<given-names><![CDATA[J. O.]]></given-names>
</name>
<name>
<surname><![CDATA[Curtiss]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Molecular theory of gases and liquids]]></article-title>
<source><![CDATA[Trans. Am. Soc. Mech. Eng]]></source>
<year>1954</year>
<volume>76</volume>
<page-range>1011</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>[12]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Grigoras]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A structural approach to calculate physical properties of pure organic substances: The critical temperature, critical volume and related properties]]></article-title>
<source><![CDATA[Journal of Computational Chemistry]]></source>
<year>1990</year>
<volume>11</volume>
<page-range>493-510</page-range></nlm-citation>
</ref>
<ref id="B13">
<label>[13]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mohr]]></surname>
<given-names><![CDATA[P. J.]]></given-names>
</name>
<name>
<surname><![CDATA[Newell]]></surname>
<given-names><![CDATA[D. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Taylor]]></surname>
<given-names><![CDATA[B. N.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Codata recommended values of the fundamental physical constants: 2014]]></article-title>
<source><![CDATA[Rev. Mod. Phys.]]></source>
<year>2016</year>
<volume>88</volume>
<page-range>035009</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>[14]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kobe]]></surname>
<given-names><![CDATA[K. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Lynn]]></surname>
<given-names><![CDATA[R. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The critical properties of elements and compounds]]></article-title>
<source><![CDATA[Chemical Reviews]]></source>
<year>1953</year>
<volume>52</volume>
<numero>1</numero>
<issue>1</issue>
<page-range>117-236</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>[15]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Riddick]]></surname>
<given-names><![CDATA[J. A.]]></given-names>
</name>
<name>
<surname><![CDATA[Bunger]]></surname>
<given-names><![CDATA[W. B.]]></given-names>
</name>
<name>
<surname><![CDATA[Sakano]]></surname>
<given-names><![CDATA[T. K.]]></given-names>
</name>
</person-group>
<source><![CDATA[Organic Solvents: Physical Properties and Methods of Purification]]></source>
<year>1986</year>
<publisher-name><![CDATA[Wiley]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B16">
<label>[16]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Poling]]></surname>
<given-names><![CDATA[B. E.]]></given-names>
</name>
<name>
<surname><![CDATA[Prausnitz]]></surname>
<given-names><![CDATA[J. M.]]></given-names>
</name>
<name>
<surname><![CDATA[OConnell]]></surname>
<given-names><![CDATA[J. P.]]></given-names>
</name>
</person-group>
<source><![CDATA[The Properties of Gases and Liquids]]></source>
<year>2004</year>
<edition>5th</edition>
<publisher-name><![CDATA[McGraw Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B17">
<label>[17]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Denbigh]]></surname>
<given-names><![CDATA[K.]]></given-names>
</name>
</person-group>
<source><![CDATA[The principles of Chemical Equilibrium]]></source>
<year>1971</year>
<publisher-loc><![CDATA[Cambridge, UK ]]></publisher-loc>
<publisher-name><![CDATA[Cambridge University]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B18">
<label>[18]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Walas]]></surname>
<given-names><![CDATA[S. M.]]></given-names>
</name>
</person-group>
<source><![CDATA[Phase Equilibria in Chemical Engineering]]></source>
<year>1985</year>
<publisher-name><![CDATA[Butterworth-Heinemann]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B19">
<label>[19]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yaws]]></surname>
<given-names><![CDATA[C. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Chemical properties handbook: physical, thermodynamics, enviromental, transport, safety, and health related properties for organic and inorganic materials]]></source>
<year>1999</year>
<publisher-name><![CDATA[McGraw-Hill]]></publisher-name>
</nlm-citation>
</ref>
<ref id="B20">
<label>[20]</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Valderrama]]></surname>
<given-names><![CDATA[J. O.]]></given-names>
</name>
<name>
<surname><![CDATA[Rojas]]></surname>
<given-names><![CDATA[R. E.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Critical properties of ionic liquids. revisited]]></article-title>
<source><![CDATA[Industrial and Engineering Chemistry Research]]></source>
<year>2009</year>
<volume>48</volume>
<numero>14</numero>
<issue>14</issue>
<page-range>6890-900</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>[21]</label><nlm-citation citation-type="book">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Yaws]]></surname>
<given-names><![CDATA[C. L.]]></given-names>
</name>
</person-group>
<source><![CDATA[Thermophysical Properties os Chemicals and Hydrocarbons]]></source>
<year>2009</year>
<publisher-loc><![CDATA[Texas ]]></publisher-loc>
<publisher-name><![CDATA[Lamar University Beaumont]]></publisher-name>
</nlm-citation>
</ref>
</ref-list>
</back>
</article>
