<p>The mixtures CH<sub>3</sub>(CH<sub>2</sub>)<sub><i>u</i>-1</sub>COO(CH<sub>2</sub>)<sub><i>v</i>-1</sub>CH<sub>3</sub> (<i>u</i> = 5–13, <i>v</i> = 1,2; <i>u</i> = 1,2,3; <i>v</i> = 3,4; <i>u</i> = 1,2,4, <i>v</i> = 5) + <i>n</i>-alkane have been investigated on the basis of excess molar functions, enthalpy (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{{\text{m}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mrow> <mtext>m</mtext> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>), volume (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(V_{{\text{m}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>V</mi> <mrow> <mtext>m</mtext> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>), isobaric heat capacity (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq3.gif" Format="GIF" Height="23" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(C_{{p{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>C</mi> <mrow> <mrow> <mi>p</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>), and isochoric internal energy (<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(U_{{V{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>U</mi> <mrow> <mrow> <mi>V</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>), and viscosity data, and by means of different models (Flory, Grunberg-Nissan and Bloomfield-Dewan). Solutions are characterized by weak orientational effects. Large structural effects are encountered in a number of systems, such as those containing pentane. The variation with the ester size of the difference between the standard enthalpy of vaporization at 298.15&#xa0;K of an ester and that of the homomorphic alkane along an homologous series formed by methyl or ethyl <i>n</i>-alkanoates reveals the existence of structural changes in longer <i>n</i>-alkanoates, which lead to stronger interactions between them. A similar result is obtained from values of cohesive energy density. The variation of <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq2.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="23" /> </InlineMediaObject> <EquationSource Format="TEX">\(V_{{\text{m}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>V</mi> <mrow> <mtext>m</mtext> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> values of the corresponding heptane mixtures supports this statement. The observed decrease of <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{{\text{m}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mrow> <mtext>m</mtext> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> for systems with a given <i>n</i>-alkane (heptane, e.g.) seems to be more related to the COO group is more sterically hindered than to interactional effects. The <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(U_{{V{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>U</mi> <mrow> <mrow> <mi>V</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> (<i>n</i>) function (<i>n</i> is the number of C atoms in the <i>n</i>-alkane) shows a minimum for systems with esters characterized by (<i>u</i> <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq8.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ge\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>≥</mo> </math></EquationSource> </InlineEquation> 4, <i>v</i> = 1); (<i>u</i> <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq8.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ge\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>≥</mo> </math></EquationSource> </InlineEquation> 7, <i>v</i> = 2), or (<i>u</i> <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq8.gif" Format="GIF" Height="15" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\(\ge\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>≥</mo> </math></EquationSource> </InlineEquation> 1, <i>v</i> = 4,5). A similar dependence of <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(U_{{V{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>U</mi> <mrow> <mrow> <mi>V</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> (<i>n</i>) was encountered for <i>n</i>-alkane mixtures involving cyclic molecules (cyclohexane, benzene). This result suggests that certain <i>n</i>-alkanoates, in an alkane medium, can form quasi-cyclic structures. Viscosity data are well described by means of free volume effects only. For systems with butyl ethanoate or methyl decanoate, the variation of <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq12.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta \eta\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="normal">Δ</mi> <mi>η</mi> </mrow> </math></EquationSource> </InlineEquation>(<i>n</i>) (deviation of dynamic viscosity) is consistent with that of <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(U_{{V{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>U</mi> <mrow> <mrow> <mi>V</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>(<i>n</i>), which supports the existence of the mentioned cyclic structures in these esters. The Flory model provides poor results on <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq1.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="25" /> </InlineMediaObject> <EquationSource Format="TEX">\(H_{{\text{m}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>H</mi> <mrow> <mtext>m</mtext> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> for systems characterized by large structural effects. Results are improved when the model is applied to <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1479_Article_IEq4.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(U_{{V{\text{m}}}}^{{\text{E}}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mi>U</mi> <mrow> <mrow> <mi>V</mi> <mtext>m</mtext> </mrow> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> data.</p>

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N-Alkanoate + N-Alkane Mixtures: Folding of Hydrocarbon Chains of N-Alkanoates

  • Juan Antonio González,
  • Fernando Hevia,
  • Luis Felipe Sanz,
  • Daniel Lozano-Martín,
  • Isaías García de la Fuente,
  • José Carlos Cobos

摘要

The mixtures CH3(CH2)u-1COO(CH2)v-1CH3 (u = 5–13, v = 1,2; u = 1,2,3; v = 3,4; u = 1,2,4, v = 5) + n-alkane have been investigated on the basis of excess molar functions, enthalpy ( \(H_{{\text{m}}}^{{\text{E}}}\) H m E ), volume ( \(V_{{\text{m}}}^{{\text{E}}}\) V m E ), isobaric heat capacity ( \(C_{{p{\text{m}}}}^{{\text{E}}}\) C p m E ), and isochoric internal energy ( \(U_{{V{\text{m}}}}^{{\text{E}}}\) U V m E ), and viscosity data, and by means of different models (Flory, Grunberg-Nissan and Bloomfield-Dewan). Solutions are characterized by weak orientational effects. Large structural effects are encountered in a number of systems, such as those containing pentane. The variation with the ester size of the difference between the standard enthalpy of vaporization at 298.15 K of an ester and that of the homomorphic alkane along an homologous series formed by methyl or ethyl n-alkanoates reveals the existence of structural changes in longer n-alkanoates, which lead to stronger interactions between them. A similar result is obtained from values of cohesive energy density. The variation of \(V_{{\text{m}}}^{{\text{E}}}\) V m E values of the corresponding heptane mixtures supports this statement. The observed decrease of \(H_{{\text{m}}}^{{\text{E}}}\) H m E for systems with a given n-alkane (heptane, e.g.) seems to be more related to the COO group is more sterically hindered than to interactional effects. The \(U_{{V{\text{m}}}}^{{\text{E}}}\) U V m E (n) function (n is the number of C atoms in the n-alkane) shows a minimum for systems with esters characterized by (u \(\ge\) 4, v = 1); (u \(\ge\) 7, v = 2), or (u \(\ge\) 1, v = 4,5). A similar dependence of \(U_{{V{\text{m}}}}^{{\text{E}}}\) U V m E (n) was encountered for n-alkane mixtures involving cyclic molecules (cyclohexane, benzene). This result suggests that certain n-alkanoates, in an alkane medium, can form quasi-cyclic structures. Viscosity data are well described by means of free volume effects only. For systems with butyl ethanoate or methyl decanoate, the variation of \(\Delta \eta\) Δ η (n) (deviation of dynamic viscosity) is consistent with that of \(U_{{V{\text{m}}}}^{{\text{E}}}\) U V m E (n), which supports the existence of the mentioned cyclic structures in these esters. The Flory model provides poor results on \(H_{{\text{m}}}^{{\text{E}}}\) H m E for systems characterized by large structural effects. Results are improved when the model is applied to \(U_{{V{\text{m}}}}^{{\text{E}}}\) U V m E data.