Skip to main content
SpringerLink
Log in

Viscosity Arrhenius Activation Energy and Derived Partial Molar Properties in Isobutyric Acid + Water Binary Mixtures Near and Far Away from the Critical Temperature, 302.15 to 313.15 K

  • Published:
Journal of Solution Chemistry Aims and scope Submit manuscript

Abstract

Calculations of the viscosity Arrhenius activation energy and derived partial molar properties, from literature experimental values of viscosity in isobutyric acid + water binary mixtures from 302.15 to 313.15 K, are presented here. The close similarity between the values of the Arrhenius activation energy E a and the enthalpy of activation of viscous flow ΔH* lead us to define the partial molar activation energies E a1 and E a2 for isobutyric acid and water, respectively, along with their individual separate contribution. Correlation between the two Arrhenius parameters of viscosity at all compositions shows the existence of two distinct main behaviors separated at the mole fraction in isobutyric acid equal to 0.1114. In addition, we add that correlation between Arrhenius parameters reveals the interesting Arrhenius temperature that is closely related to the vaporization temperature in the liquid–vapor equilibrium, and the limiting corresponding partial molar properties permits us to predict the boiling points of the pure components.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Ouerfelli, N., Bouanz, M.: Excess molar volume and viscosity of isobutyric acid + water binary mixtures near and far away from the critical temperature. J. Solution Chem. 35, 121–137 (2006)

    Article  CAS  Google Scholar 

  2. Toumi, A., Bouanz, M.: Volumetric and refractive index properties of isobutyric acid–water binary mixtures at temperatures ranging from 300.15 to 313.15 K. J. Mol. Liq. 139, 55–60 (2008)

    Article  CAS  Google Scholar 

  3. Ouerfelli, N., Kouissi, T., Zrelli, N., Bouanz, M.: Competition of correlation viscosities equations in isobutyric acid + water binary mixtures near and far away from the critical temperature. J. Solution Chem. 38, 983–1004 (2009)

    Article  CAS  Google Scholar 

  4. Cherif, E., Ouerfelli, N., Bouaziz, M.: Competition between Redlich-Kister and adapted Herráez equations of correlation conductivities in isobutyric acid + water binary mixtures near and far away from the critical temperature. Phys. Chem. Liq. 49, 155–171 (2011)

    Article  CAS  Google Scholar 

  5. Ouerfelli, N., Messaâdi, A., Hadj, E.B.H., Cherif, E., Amdouni, N.: Validity of the correlation-Belda equation for some physical and chemical properties in isobutyric acid + water mixtures near and far away from critical temperature. Phys. Chem. Liq. 49, 655–672 (2011)

    Article  CAS  Google Scholar 

  6. Beysens, D., Bourgou, A., Calmettes, P.: Experimental determinations of universal amplitude combinations for binary fluids. I. Statics. Phys. Rev. A 26, 3589–3609 (1982)

    Article  CAS  Google Scholar 

  7. Beysens, D., Bourgou, A., Paladin, G.: Experimental determinations of universal amplitude combination for binary fluids. II. Dynamics. Phys. Rev. A 30, 2686–2703 (1984)

    Article  CAS  Google Scholar 

  8. Fort, R.J., Moore, W.R.: Viscosities of binary liquid mixtures. Trans. Faraday Soc. 62, 1112–1119 (1966)

    Article  CAS  Google Scholar 

  9. Colter, A.K., Grunwald, E.: Application of differential refractometry to the measurement of association constants for molecular complex formation. J. Phys. Chem. 74, 3637–3642 (1970)

    Article  CAS  Google Scholar 

  10. Erdey, G.T.: Transport Phenomena In Aqueous Solutions. AH PB, London (1958)

    Google Scholar 

  11. Desnoyers, J.E., Perron, G.: Treatment of excess thermodynamic quantities for liquid mixtures. J. Solution Chem. 26, 749–755 (1997)

    Article  CAS  Google Scholar 

  12. Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)

    Article  Google Scholar 

  13. Belda, R.: A proposed equation of correlation for the study of thermodynamic properties (density, viscosity, surface tension and refractive index) of liquid binary mixtures. Fluid Phase Equilibr. 282, 88–99 (2009)

  14. Das, D., Messaâdi, A., Dhouibi, N., Ouerfelli, N., Hamzaoui, A.H.: Viscosity Arrhenius activation energy and derived partial molar properties in N, N-dimethylacetamide + water binary mixtures at temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 51, 677–685 (2013)

    Article  CAS  Google Scholar 

  15. Ouerfelli, N., Barhoumi, Z., Iulian, O.: Viscosity Arrhenius activation energy and derived partial molar properties in 1,4-dioxane + water binary mixtures from 293.15 to 323.15 K. J. Solution Chem. 41, 458–474 (2012)

    Article  CAS  Google Scholar 

  16. Eyring, H., John, M.S.: Significant Liquid Structure. Wiley, New York (1969)

    Google Scholar 

  17. Ali, A., Nain, A.K., Hyder, S.: Ion-solvent interaction of sodium iodide and lithium nitrate in N, N-dimethylformamide + ethanol mixtures at various temperatures. J. Indian Chem. Soc. 5, 501–505 (1998)

    Google Scholar 

  18. Leaist, D.G., MacEwan, K., Stefan, A., Zamari, M.: Binary mutual diffusion coefficients of aqueous cyclic ethers at 25° centigrade. Tetrahydrofuran, 1,3-dioxolane, 1,4-dioxane, 1,3-dioxane, tetrahydropyran, and trioxane. J. Chem. Eng. Data 45, 815–818 (2000)

    Article  CAS  Google Scholar 

  19. Das, D., Messaâdi, A., Barhoumi, Z., Ouerfelli, N.: The relative reduced Redlich-Kister equations for correlating excess properties of N, N-dimethylacetamide + water binary mixtures at temperatures from 298.15 K to 318.15 K. J. Solution Chem. 41, 1555–1574 (2012)

    Article  CAS  Google Scholar 

  20. Das, D., Barhoumi, Z., Ouerfelli, N.: The relative reduced Redlich-Kister and Herráez equations for correlating excess properties of N, N-dimethylacetamide + 2-methoxyethanol binary mixtures at temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 50, 346–366 (2012)

    Article  CAS  Google Scholar 

  21. Das, D., Ouerfelli, N.: The relative reduced Redlich-Kister and Herráez equations for correlating excess properties of N, N-dimethylacetamide + formamide binary mixtures at temperatures from 298.15 K to 318.15 K. J. Solution Chem. 41, 1334–1351 (2012)

    Article  CAS  Google Scholar 

  22. Das, D., Barhoumi, Z., Dhouibi, N., Sanhoury, M.A.M.K., Ouerfelli, N.: The relative reduced Redlich-Kister and Herráez equations for correlating excess properties of N, N-dimethylacetamide + N, N-dimethylformamide binary mixtures at temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 50, 712–734 (2012)

    Article  CAS  Google Scholar 

  23. Das, D., Messaâdi, A., Dhouibi, N., Ouerfelli, N.: Investigations of the relative reduced Redlich-Kister and Herráez equations for correlating excess properties of N, N-dimethylacetamide + 2-ethoxyethanol binary mixtures at temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 50, 773–797 (2012)

    Article  CAS  Google Scholar 

  24. Greer, S.C.: Coexistence curves at liquid–liquid critical points: Ising exponents and extended scaling. Phys. Rev. A 14, 1770–1780 (1976)

    Article  CAS  Google Scholar 

  25. Venkataraman, T.S., Narducci, L.M.: Critical properties of the binary fluid system isobutyric acid–water. J. Phys. C: Solid State Phys. 10, 2849–2861 (1977)

    Article  CAS  Google Scholar 

  26. Wong, N.C., Knobler, C.M.: Light scattering studies of phase separation in isobutyric acid + water mixtures. J. Chem. Phys. 69, 725–735 (1978)

    Article  CAS  Google Scholar 

  27. Chou, Y.C., Goldburg, W.I.: Phase separation and coalescence in critically quenched isobutyric acid + water and 2,6-lutidine + water mixtures. Phys. Rev. A 20, 2105–2113 (1979)

    Article  CAS  Google Scholar 

  28. Andrew, W.V., Khoo, T.B.K., Jacobs, D.T.: Testing the Lorentz-Lorenz relation in the near-critical binary fluid mixture isobutyric acid and water. J. Chem. Phys. 85, 3985–3991 (1986)

    Article  CAS  Google Scholar 

  29. Herráez, J.V., Belda, R., Diez, O., Herráez, M.: An equation for the correlation of viscosities of binary mixtures. J. Solution Chem. 37, 233–248 (2008)

    Article  Google Scholar 

  30. Ouerfelli, N., Bouaziz, M., Herráez, J.V.: Treatment of Herráez equation correlating viscosity in binary liquid mixtures exhibiting strictly monotonous distribution. Phys. Chem. Liq. 51, 55–74 (2013)

    Article  CAS  Google Scholar 

  31. Messaâdi, A., Ouerfelli, N., Das, D., Hamda, H., Hamzaoui, A.H.: Correspondence between Grunberg-Nissan, Arrhenius and Jouyban-Acree parameters for viscosity of isobutyric acid + water binary mixtures from 302.15 to 313.15 K. J. Solution Chem. 41, 2186–2208 (2012)

    Article  Google Scholar 

  32. Hichri, M., Das, D., Messaâdi, A., Bel, H.H.E.S., Ouerfelli, N., Khattech, I.: Viscosity Arrhenius activation energy and derived partial molar properties in of N, N-dimethylacetamide + 2-ethoxyethanol binary mixtures at temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 51, 721–730 (2013)

    Article  CAS  Google Scholar 

  33. Dallel, M., Das, D., Hadj, H.B.E.S., Al-Omair, N.A., Al-Arfaj, A.A., Ouerfelli, N.: Derived partial molar properties investigations of viscosity Arrhenius parameters in formamide + N,N-dimethylacetamide systems at different temperatures. Phys. Chem. Liq. 52, 442–451 (2014)

    Article  CAS  Google Scholar 

  34. Trabelsi, Z., Dallel, M., Salhi, H., Das, D., Al-Omair, N.A., Ouerfelli, N.: On the viscosity Arrhenius temperature for methanol + N,N-dimethylformamide binary mixtures over the temperature range from 303.15 K to 323.15 K. Phys. Chem. Liq. Available online 22.08.2014; doi:10.1080/00319104.2014.947372

  35. Salhi, H., Dallel, M., Trabelsi, Z., Al-Zamel, N.O.Z., Al-Khaldey, M.A., Ouerfelli, N.: Viscosity Arrhenius activation energy and derived partial molar properties in methanol + N,N-dimethylacetamide binary mixtures the temperatures from 298.15 K to 318.15 K. Phys. Chem. Liq. 53, 117–137 (2015)

  36. Dhouibi, N., Dallel, M., Das, D., Bouaziz, M., Ouerfelli, N., Hamzaoui, A.H: Viscosity Arrhenius activation energy and derived partial molar properties in binary mixtures of N,N-dimethylacetamide with N,N-dimethylformamide in the temperature interval (from 298.15 to 318.15) K. Phys. Chem. Liq. (accepted) 03.09.2014; doi:10.1080/00319104.2014.958737

  37. Ben Haj-Kacem, R., Ouerfelli, N., Herráez, J.V., Guettari, M., Hamda, H., Dallel, M.: Contribution to modeling the viscosity Arrhenius type-equation for some solvents by statistical correlation analysis. Fluid Phase Equilibr. 383, 11–20 (2014)

  38. Viswanath, D.S., Ghosh, T.K., Prasad, G.H.L., Dutt, N.V.K., Rani, K.Y.: Viscosity of Liquids. Theory, Estimation, Experiment, and Data. Springer, Dordrecht (2007)

    Google Scholar 

Download references

Acknowledgments

We thank Deanship of Scientific Research and research units of Science College in University of Dammam, Saudi Arabia for supporting this work and funding this project (Grant No. 2014074).

Author information

Authors and Affiliations

  1. Department of Chemistry, Dinhata College, North Bengal University, Dinhata, Cooch-Behar, 736135, West Bengal, India

    D. Das

  2. LR13ES04, Laboratoire de Biophysique et Technologies Médicales, Institut Supérieur des Technologies Médicales de Tunis, Université de Tunis El Manar, 9 Avenue Dr. Zouhaier Essafi, 1006, Tunis, Tunisia

    H. Salhi, M. Dallel, Z. Trabelsi & N. Ouerfelli

  3. Department of Chemistry, College of Science, University of Dammam, P.O. Box 1982, Dammam, 31441, Saudi Arabia

    A. A. Al-Arfaj & N. Ouerfelli

Authors
  1. D. Das
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. Salhi
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Dallel
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Z. Trabelsi
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. A. Al-Arfaj
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. N. Ouerfelli
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to D. Das.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Das, D., Salhi, H., Dallel, M. et al. Viscosity Arrhenius Activation Energy and Derived Partial Molar Properties in Isobutyric Acid + Water Binary Mixtures Near and Far Away from the Critical Temperature, 302.15 to 313.15 K. J Solution Chem 44, 54–66 (2015). https://doi.org/10.1007/s10953-014-0289-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10953-014-0289-6

Keywords

Search

Navigation