<p>In the present study, the density (<i>ρ</i>) and dynamic viscosity (<i>η</i>) of binary liquid mixtures such as glycerol (GLY) + isomers of butanol (1-butanol (1-BU), 2-butanol (2-BU), and tert-butanol (T-BU)) were experimentally measured as a function of glycerol mole fraction at <i>T</i> = (293.15 to 318.15) K and a pressure of 0.1&#xa0;MPa. Using these experimental data, the deviation in viscosity (<i>∆η</i>), molar volume (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="21" /> </InlineMediaObject> <EquationSource Format="TEX">\({V}_{\text m}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>V</mi> <mtext>m</mtext> </msub> </math></EquationSource> </InlineEquation>), excess molar volume (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_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> <mtext>m</mtext> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation>), apparent molar volumes (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\({V}_{\text {m},\varnothing ,1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>V</mi> <mrow> <mtext>m</mtext> <mo>,</mo> <mi>∅</mi> <mo>,</mo> <mn>1</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\({V}_{\text {m},\varnothing ,2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>V</mi> <mrow> <mtext>m</mtext> <mo>,</mo> <mi>∅</mi> <mo>,</mo> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation>), partial molar volumes (<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq5.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\overline{V} }_{\text {m},1}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover> <mi>V</mi> <mo>¯</mo> </mover> <mrow> <mtext>m</mtext> <mo>,</mo> <mn>1</mn> </mrow> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq6.gif" Format="GIF" Height="21" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\overline{V} }_{\text {m},2}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mover> <mi>V</mi> <mo>¯</mo> </mover> <mrow> <mtext>m</mtext> <mo>,</mo> <mn>2</mn> </mrow> </msub> </math></EquationSource> </InlineEquation>), and excess partial molar volumes (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq7.gif" Format="GIF" Height="27" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="TEX">\({\overline{V} }_{\text {m},1}^{\text E}\)</EquationSource> <EquationSource Format="MATHML"><math> <msubsup> <mover> <mi>V</mi> <mo>¯</mo> </mover> <mrow> <mtext>m</mtext> <mo>,</mo> <mn>1</mn> </mrow> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_Article_IEq8.gif" Format="GIF" Height="27" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\({\overline{V} }_{\text {m},2}^{\text E})\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mover> <mi>V</mi> <mo>¯</mo> </mover> <mrow> <mtext>m</mtext> <mo>,</mo> <mn>2</mn> </mrow> <mtext>E</mtext> </msubsup> <mrow> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation> values were calculated. The observed <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_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> <mtext>m</mtext> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> and <i>∆η</i> results were associated with the Redlich–Kister (R-K) model. Further, the <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_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> <mtext>m</mtext> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> values were interpreted using the Prigogine–Flory–Patterson (PFP) model. The obtained <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10953_2025_1467_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> <mtext>m</mtext> <mtext>E</mtext> </msubsup> </math></EquationSource> </InlineEquation> showed a negative deviation, and ∆<i>η</i> showed a positive deviation over the entire composition range of glycerol. The derived parameters in binary mixtures are affected by H-bonding. Moreover, the development of new H-bonding interactions between unlike molecules was further described using <sup>1</sup>H-NMR spectroscopy studies.</p>

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Thermodynamic and Spectroscopic Studies on Binary Liquid Mixtures of Glycerol and Isomeric Butanols at (293.15–318.15) K

  • Mandala Ramadevi,
  • Siddoju Kavitha,
  • Jagadeesh Kumar Ega,
  • Bolloju Satheesh,
  • Tangeda Savitha Jyostna

摘要

In the present study, the density (ρ) and dynamic viscosity (η) of binary liquid mixtures such as glycerol (GLY) + isomers of butanol (1-butanol (1-BU), 2-butanol (2-BU), and tert-butanol (T-BU)) were experimentally measured as a function of glycerol mole fraction at T = (293.15 to 318.15) K and a pressure of 0.1 MPa. Using these experimental data, the deviation in viscosity (∆η), molar volume ( \({V}_{\text m}\) V m ), excess molar volume ( \({V}_\text{m}^\text{E}\) V m E ), apparent molar volumes ( \({V}_{\text {m},\varnothing ,1}\) V m , , 1 and \({V}_{\text {m},\varnothing ,2}\) V m , , 2 ), partial molar volumes ( \({\overline{V} }_{\text {m},1}\) V ¯ m , 1 and \({\overline{V} }_{\text {m},2}\) V ¯ m , 2 ), and excess partial molar volumes ( \({\overline{V} }_{\text {m},1}^{\text E}\) V ¯ m , 1 E and \({\overline{V} }_{\text {m},2}^{\text E})\) V ¯ m , 2 E ) values were calculated. The observed \({V}_\text{m}^\text{E}\) V m E and ∆η results were associated with the Redlich–Kister (R-K) model. Further, the \({V}_\text{m}^\text{E}\) V m E values were interpreted using the Prigogine–Flory–Patterson (PFP) model. The obtained \({V}_\text{m}^\text{E}\) V m E showed a negative deviation, and ∆η showed a positive deviation over the entire composition range of glycerol. The derived parameters in binary mixtures are affected by H-bonding. Moreover, the development of new H-bonding interactions between unlike molecules was further described using 1H-NMR spectroscopy studies.