<?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>1665-2738</journal-id>
<journal-title><![CDATA[Revista mexicana de ingeniería química]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. Mex. Ing. Quím]]></abbrev-journal-title>
<issn>1665-2738</issn>
<publisher>
<publisher-name><![CDATA[Universidad Autónoma Metropolitana, División de Ciencias Básicas e Ingeniería]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S1665-27382016000100161</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Intraparticle diffusion-adsorption model to describe liquid/solid adsorption kinetics]]></article-title>
<article-title xml:lang="es"><![CDATA[Modelo de difusión-adsorción intrapartícula para describir cine&#769;ticas de adsorción líquido/sólido]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Simonin]]></surname>
<given-names><![CDATA[J.P.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Bouté]]></surname>
<given-names><![CDATA[J.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,Sorbonne Universités  ]]></institution>
<addr-line><![CDATA[Paris ]]></addr-line>
<country>France</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>00</month>
<year>2016</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>00</month>
<year>2016</year>
</pub-date>
<volume>15</volume>
<numero>1</numero>
<fpage>161</fpage>
<lpage>173</lpage>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S1665-27382016000100161&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S1665-27382016000100161&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S1665-27382016000100161&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract: The most popular formula used in the literature about liquid/solid adsorption kinetics to describe diffusion-controlled processes is the intraparticle diffusion (IPD) equation. However, this formula was introduced originally for pure diffusion. It does not account explicitly for the effect of adsorption (except in the limit of very low adsorbate concentration). In this work, the problem of diffusion-controlled kinetics is studied by using a diffusion-adsorption model which should hold when the solute concentration in the external solution is sufficiently high. The case of a finite amount of solute initially in the stirred batch adsorber is solved analytically. For short times, the formula for the uptake turns out to have the same form vs. time as the IPD equation). However, it also predicts a decrease of the fractional uptake with the initial bulk concentration, as observed in the literature, and it shows that the IPD diffusion coefficient is a lumped parameter depending on the experimental conditions. These theoretical results are used for a discussion of the IPD equation and for descriptions of experimental results taken from the literature.]]></p></abstract>
<abstract abstract-type="short" xml:lang="es"><p><![CDATA[Resumen: La fórmula más popular utilizada en la literatura sobre cinética de adsorción líquido/sólido para describir procesos controlados por la difusión es la ecuación de difusión intrapartícula (DIP). Sin embargo, esta fórmula se introdujo originalmente par difusión pura. No toma en cuenta de forma explícita el efecto de la adsorción (excepto en el límite de concentración adsobida muy baja). En este trabajo, el problema de la cinética controlada por la difusión se estudió mediante el uso de un modelo de difusión-adsorción, que debe ser válido cuando la concentración del soluto en la solución externa es bastante alta. El caso de una cantidad finita de soluto inicialmente en el baño de solución está resuelto analíticamente. Para tiempos cortos, la fórmula para la adsorción resulta tener la misma forma en función del tiempo como la ecuación DIP. Sin embargo, predice una disminución de la fracción de adsorción con una concentración inicial mayor, lo que ha sido observado experimentalmente en la literatura, y enseña que el coeficiente de DIP es un parámetro agrupado que depende de las condiciones experimentales. Estos resultados teóricos son utilizados para una discusión de la ecuación DIP y para descripciones de resultados experimentales tomados de la literatura.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[adsorption]]></kwd>
<kwd lng="en"><![CDATA[kinetics]]></kwd>
<kwd lng="en"><![CDATA[shrinking core model]]></kwd>
<kwd lng="en"><![CDATA[intraparticle diffusion equation]]></kwd>
<kwd lng="es"><![CDATA[adsorción]]></kwd>
<kwd lng="es"><![CDATA[cinética]]></kwd>
<kwd lng="es"><![CDATA[modelo de núcleo contraído]]></kwd>
<kwd lng="es"><![CDATA[ecuación de difusión intrapartícula]]></kwd>
</kwd-group>
</article-meta>
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