International Journal of Thermophysics

, Volume 32, Issue 6, pp 1188–1201 | Cite as

Sound Speeds and Excess Isentropic Compressibilities of Ternary Mixtures of Tetrahydropyran and Aromatic Hydrocarbons at 308.15 K

  • Rajesh K. Siwach
  • Dimple
  • V. K. Sharma


Speeds of sound, u ijk , of tetrahydropyran (THP) (i) + benzene (j) + toluene or o- or p-xylene (k), and tetrahydropyran (i)+toluene (j) + o- or p-xylene (k) ternary mixtures have been measured over the entire mole fraction range at 308.15 K and atmospheric pressure. The speed-of-sound data have been used to calculate isentropic compressibilities, \({(\kappa_S)_{ijk}}\) , and excess isentropic compressibilities, \({(\kappa_S^{\rm E})_{ijk}}\) . The \({(\kappa_S^{\rm E})_{ijk}}\) values for the investigated mixtures are correlated with the Redlich–Kister equation to estimate ternary adjustable parameters and standard deviations. The Moelwyn–Huggins concept (Huggins, Polymer 12:357, 1971) of interaction between the surfaces of components of binary mixtures has been extended to predict excess isentropic compressibilities of ternary mixtures by employing the concept of connectivity parameters of the third degree of a molecule (which in turn depends on its topology). It has been observed that \({(\kappa_S)_{ijk}}\) values predicted by the Moelwyn–Huggins concept compare well with corresponding experimental values.


Aromatic hydrocarbons Connectivity parameter of third degree Excess isentropic compressibilities Isentropic compressibilities Speeds of sound Tetrahydropyran 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Inglese A., Wilhelm E., Grolier J.-P.E., Kehiaian H.V.: J. Chem. Thermodyn. 12, 217 (1980)CrossRefGoogle Scholar
  2. 2.
    Wilhelm E., Inglese A., Grolier J.-P.E., Kehiaian H.V.: J. Chem. Thermodyn. 14, 33 (1982)CrossRefGoogle Scholar
  3. 3.
    Inglese A., Grolier J.-P.E., Wilhelm E.: J. Chem. Eng. Data 28, 124 (1983)CrossRefGoogle Scholar
  4. 4.
    Francesconi R., Comelli F.: J. Chem. Eng. Data 37, 230 (1992)CrossRefGoogle Scholar
  5. 5.
    Sharma V.K., Romi , Kumar S.: Thermochim. Acta 417, 91 (2004)CrossRefGoogle Scholar
  6. 6.
    Sharma V.K., Siwach R.K., Dimple: J. Chem. Thermodyn. 43, 39 (2011)CrossRefGoogle Scholar
  7. 7.
    Sharma V.K., Romi: Can. J. Chem. 79, 1910 (2001)CrossRefGoogle Scholar
  8. 8.
    Sharma V.K., Kumar S.: J. Solut. Chem. 34, 199 (2005)CrossRefGoogle Scholar
  9. 9.
    Sharma D., Yadav J.S., Singh K.C., Sharma V.K.: J. Solut. Chem. 37, 1099 (2008)CrossRefGoogle Scholar
  10. 10.
    Sharma D., Yadav J.S., Singh K.C., Sharma V.K.: J. Chem. Eng. Data. 54, 2109 (2009)CrossRefGoogle Scholar
  11. 11.
    Brocos P., Amigo A., Pintos M., Calvo E., Bravo R.: Thermochim. Acta 286, 297 (1996)CrossRefGoogle Scholar
  12. 12.
    Linstrom, P.J., Mallard, W.G. (eds): NIST Chemistry Webbook. Nat. Inst. Stand. Technol., Gaithersburg, MD (2009)Google Scholar
  13. 13.
    Riddick J.A., Bunger W.B., Skano T.K.: Organic Solvents Physical Properties and Methods of Purification, 4th edn. Wiley, New York (1986)Google Scholar
  14. 14.
    Valles C., Perez E., Cardoso M., Dominguez M., Mainar A.M.: J. Chem. Eng. Data 49, 1460 (2004)CrossRefGoogle Scholar
  15. 15.
    Tamura K., Murakami S., Doi S.: J. Chem. Thermodyn. 17, 325 (1985)CrossRefGoogle Scholar
  16. 16.
    Sehgal C.M., Porter B.R., Greenleaf J.F.: J. Acoust. Soc. Am. 79, 566 (1986)ADSCrossRefGoogle Scholar
  17. 17.
    Schaaf S.W.: Molecular Acoustics, New Series, Group II. Havdolt, London (1967)Google Scholar
  18. 18.
    Tardajos G., Diazpena M., Aircart E.: J. Chem. Thermodyn. 18, 683 (1968)CrossRefGoogle Scholar
  19. 19.
    Siwach R.K., Dimple, Jangra S.K., Sharma V.K.: J. Solut. Chem. 39, 1492 (2010)CrossRefGoogle Scholar
  20. 20.
    Benson G.C., Kiyohara O.: J. Chem. Thermodyn. 11, 1061 (1979)CrossRefGoogle Scholar
  21. 21.
    Weast R.C.: CRC Handbook of Chemistry and Physics. CRC Press, Boca Raton, FL (1987)Google Scholar
  22. 22.
    Hildebrand J.H., Prausnitz J.M., Scott R.L.: Regular and Related Solutions. Van-Nonstand Reinheld Co., New York (1971)Google Scholar
  23. 23.
    Dimple, Ph.D. Thesis (Maharshi Dayanand University, Rohtak, Haryana, India, 2008)Google Scholar
  24. 24.
    Huggins M.L.: J. Phys. Chem. 74, 371 (1970)CrossRefGoogle Scholar
  25. 25.
    Huggins M.L.: Polymer 12, 357 (1971)CrossRefGoogle Scholar
  26. 26.
    Singh P.P., Bhatia M.: J. Chem. Soc. Faraday Trans. 1 85, 3807 (1989)CrossRefGoogle Scholar
  27. 27.
    Singh P.P., Nigam R.K., Singh K.C., Sharma V.K.: Thermochim. Acta 46, 175 (1981)CrossRefGoogle Scholar
  28. 28.
    Singh P.P., Sharma V.K., Sharma S.P.: Thermochim. Acta 106, 293 (1986)CrossRefGoogle Scholar
  29. 29.
    Singh P.P.: Thermochim. Acta 66, 37 (1983)CrossRefGoogle Scholar
  30. 30.
    Kier L.B., Yalkowasky S.H., Sinkula S.H., Valvani S.C.: Physico-Chemical Properties of Drugs. Mercel Dekker, New York (1980)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of ChemistryMaharshi Dayanand UniversityRohtakIndia

Personalised recommendations