Journal of Solution Chemistry

, Volume 42, Issue 5, pp 936–944 | Cite as

Volumetric Properties of 1,3-Dioxolane + Toluene + o- or p-Xylene Ternary Mixtures at 25.00 °C and Atmospheric Pressure

  • Satish Kumar
  • V. K. Sharma
  • Il Moon


Excess molar volumes, \( V_{123}^{\text{E}} \), of 1, 3-dioxolane (1) + toluene (2) + o- or p-xylene (3) ternary mixtures have been determined dilatometrically over the entire composition range at 298.15 K. For thermodynamic consistency the experimental values were fitted to Redlich–Kister Equation. The \( V_{123}^{\text{E}} \) values of 1, 3-dioxolane (1) + toluene (2) + o- or p-xylene (3) ternary mixtures have been found to be negative over the whole composition range. It has been observed that \( V_{123}^{\text{E}} \) values calculated by graph theory are of the same sign and magnitude with respect to their experimental values.


1,3-dioxolane Excess molar volume Graph theory Connectivity parameter 



This study was supported by the Ministry of Education (MOE) of Korea through its BK21 Program and GAS plant R&D Centre funded by the Ministry of Land, Transportation and Maritime Affairs (MLTM) of the Korean Government.


  1. 1.
    Turro, N.J.: Geometric and topological thinking in organic chemistry. Angew. Chem. Int. Ed. 25, 882–901 (1986)CrossRefGoogle Scholar
  2. 2.
    Trinajstic, N.: Chemical Graph Theory, vol. 2. CRC, Boca Raton (1983)Google Scholar
  3. 3.
    Kier, L.B., Hall, L.H.: Molecular Connectivity in Chemical and Drug Research. Academic Press, London (1976)Google Scholar
  4. 4.
    Singh, P.P., Nigam, R.K., Singh, K.C., Sharma, V.K.: Topological aspects of the thermodynamics of binary mixtures of non-electrolytes. Thermochim. Acta 46, 175–190 (1981)CrossRefGoogle Scholar
  5. 5.
    Sharma, V.K., Kumar, S.: Topological investigation of molecular interactions in mixtures containing alkanols: Molar excess volumes and molar excess enthalpies. Thermochim. Acta 413, 255–259 (2004)CrossRefGoogle Scholar
  6. 6.
    Kumar, S., Sharma, V.K., Moon, I.: Speed of sound and excess isentropic compressibility of 1,3-dioxolane or 1,4-dioxane + butan-1-ol or butan-2-ol binary mixtures at 308.15 K and atmospheric pressure. Ind. Eng. Chem. Res. 49, 8365–8368 (2010)CrossRefGoogle Scholar
  7. 7.
    Sharma, V.K., Romi: Thermochemical and topological investigations of ternary mixtures containing ether. Indian J. Chem. 40A, 1156–1160 (2001)Google Scholar
  8. 8.
    Sharma, V.K., Romi, Kumar, S.: Topological investigations of binary and ternary mixtures containing cyclic ether: Excess isentropic compressibility. Indian J. Chem. 42A, 1379–1384 (2003)Google Scholar
  9. 9.
    Sharma, V.K., Romi, Kumar, S.: Topological investigations of binary and ternary mixtures: Excess isentropic compressibilities. Thermochim. Acta 417, 91–97 (2004)CrossRefGoogle Scholar
  10. 10.
    Kalra, K.C., Sharma, V.K., Katoch, A.: Thermodynamical investigations of some non-electrolytic ternary mixtures. Indian J. Chem. 37A, 308–315 (1998)Google Scholar
  11. 11.
    Riddick, J.A., Bunger, W.B., Sakano, T.K.: Organic Solvents, Physical Properties and Methods of Purification, vol. II, 4th edn. Wiley-Interscience, New York (1986)Google Scholar
  12. 12.
    Vogel, A.I.: A Text Book of Practical Organic Chemistry, 5th edn, p. 398. English Book Society and Longman Group, England (2003)Google Scholar
  13. 13.
    George, J., Sastry, N.V.: Densities, excess molar volumes, viscosities, speed of sound, excess isentropic compressibilities, and relative permittivities for CmH2 m + 1(OCH2CH2)nOH (m = 1 or 2 or 4 and n = 1) + benzene, + toluene, + (o-, m-, and p-) xylenes, + ethylbenzene, and +cyclohexane. J. Chem. Eng. Data 48, 977–989 (2003)CrossRefGoogle Scholar
  14. 14.
    Franscesconi, R., Castellari, C., Comelli, F.: Excess molar enthalpies and excess molar volumes of binary mixtures containing 1,3-dioxolane or 1,4-dioxane + pine resins at (298.15 and 313.15) K and at atmospheric pressure. J. Chem. Eng. Data 46, 577–581 (2001)CrossRefGoogle Scholar
  15. 15.
    Kumar, S., Sharma, V.K., Yadav, J.S., Moon, I.: Thermodynamic investigation of molecular interactions in 1,3-dioxolane or 1, 4-dioxane + benzene or toluene + formamide or N,N-dimethylformamide ternary mixtures at 308.15 K and atmospheric pressure. J. Solution Chem. 39, 680–691 (2010)CrossRefGoogle Scholar
  16. 16.
    Kumaran, M.K., Mc Glashan, M.L.: An improved dilution dilatometer for measurement of excess volumes. J. Chem. Thermodyn. 9, 259–267 (1977)CrossRefGoogle Scholar
  17. 17.
    Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)CrossRefGoogle Scholar
  18. 18.
    Katoch, A.: Ph.D. Thesis, Maharishi Dayanand University, Rohtak, India (1998)Google Scholar
  19. 19.
    Huggins, M.L.: Properties of liquids, including solutions. Part I. Intermolecular energies in monotonic liquids and their mixtures. J. Phys. Chem. 74, 371–378 (1970)CrossRefGoogle Scholar
  20. 20.
    Huggins, M.L.: The thermodynamic properties of liquids, including solutions: Part 2. Polymer solutions considered as diatonic systems. Polymer 12, 389–399 (1971)CrossRefGoogle Scholar
  21. 21.
    Singh, P.P., Bhatia, M.: Energetic of molecular interactions in binary mixtures of non-electrolytes containing a salt. J. Chem. Soc. Faraday Trans. I, 3807–3812 (1989)Google Scholar

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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Department of Chemical and Biomolecular EngineeringYonsei UniversitySeoulRepublic of Korea
  2. 2.Department of ChemistryMaharshi Dayanand UniversityRohtakIndia

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