Skip to main content
SpringerLink
Log in

Acoustical Studies of Binary Liquid Mixtures of Cyclopentane with 1-Alkanol at Different Temperatures and Different Approaches for Ideal Mixing Laws

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

Abstract

Speeds of sound have been measured in liquid mixtures of cyclopentane with 1-propanol, with 1-pentanol, and with 1-heptanol across the entire composition range at temperatures of (298.15, 308.15 and 318.15) K and atmospheric pressure. The experimental speed of sound data were used to estimate the isentropic compressibility κ S for all mixtures. The molar volumes were multiplied by the corresponding isentropic compressibilities to obtain estimates of the molar compressibilities K S,m. The corresponding \(K_{S,\mathrm{m}}^{\mathrm{E}}\) values have also been calculated. Theoretical values of the speeds of sound were estimated using theories and empirical relations. Deviations of the speed of sound, u D, from the values calculated by different approaches for ideal mixing have been obtained for all mole fractions.

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

Similar content being viewed by others

References

  1. Pal, A., Dass, G.: Speeds of sound and isentropic functions of triethylene glycol monoethyl ether—n-alcohol mixtures at 298.15 K. J. Ind. Chem. Soc. 76, 446–451 (1999)

    CAS  Google Scholar 

  2. Ali, A., Nain, A.K.: Study of molecular interactions in non-aqueous binary liquid mixtures through ultrasonic measurements. J. Pure Appl. Ultrason. 22, 10–15 (2000)

    Google Scholar 

  3. Aralaguppi, M.I., Baragi, J.G.: Physicochemical and excess properties of the binary mixtures of methylcyclohexane + ethanol, + propan-1-ol, + propan-2-ol, + butan-1-ol, + 2-methyl-1-propanol, or 2-methyl-1-butanol at T=(298.15,303.15 and 308.15) K. J. Chem. Thermodyn. 38, 434–442 (2006)

    Article  CAS  Google Scholar 

  4. Iloukhani, H., Rezaei-Sameti, M., Zarei, H.A.: Volumetric and viscometric studies of molecular interactions of the ternary system toluene (1) + cyclohexane (2) + n-hexane (3) at 298.15 K. Thermochim. Acta 438, 9–15 (2005)

    Article  CAS  Google Scholar 

  5. George, J., Sastry, N.V.: Partial excess molar volumes, partial excess isentropic compressibilities and relative permittivities of water + ethane-1, 2-diol derivative and water + 1,2-dimethoxyethane at different temperatures. Fluid Phase Equilib. 216, 307–321 (2004)

    Article  CAS  Google Scholar 

  6. Garcia, B., Alcalde, R., Leal, J.M., Matos, J.S.: Formamide—(C1–C5)alkan-1-ols solvent systems. J. Chem. Soc. Faraday Trans. 92, 3347–3352 (1996)

    Article  CAS  Google Scholar 

  7. Oswal, S.L., Desai, H.S.: Studies of viscosity and excess molar volume of binary mixtures: 1. Propylamine + 1-alkanol mixtures at 303.15 and 313.15 K. Fluid Phase Equilib. 149, 359–376 (1998)

    Article  CAS  Google Scholar 

  8. Prakash, S., Sivanarayana, K., Prakash, O.: Thermodynamic and transport properties of binary liquid systems. Can. J. Chem. 58, 942–945 (1980)

    Article  CAS  Google Scholar 

  9. Kannappan, V., Jesu Raja, C.X., Jayasanthi, R.: Ultrasonic studies on molecular interactions of certain carbonyl compounds in n-hexane and chloroform solution. Indian J. Pure Appl. Phys. 41, 690–695 (2003)

    CAS  Google Scholar 

  10. Kumar, H., Kumar, B., Kumar, A., Angmo, T., Yadav, S.: Densities and excess molar volumes of cyclopentane (1) + 1-alkanol (2) systems at (298.15 and 308.15) K. J. Chem. Eng. Data 54, 165–167 (2009)

    Article  CAS  Google Scholar 

  11. Douheret, G., Davis, M.I., Reis, J.C.R., Blandamer, M.J.: Isentropic compressibilities—Experimental origin and the quest for their rigorous estimation in thermodynamically ideal liquid mixtures. Chem. Phys. Chem. 2, 148–161 (2001)

    CAS  Google Scholar 

  12. Benson, G.C., Kiyohara, O.: Evaluation of excess isentropic compressibilities and isochoric heat capacities. J. Chem. Thermodyn. 11, 1061–1064 (1979)

    Article  CAS  Google Scholar 

  13. Nath, J.: Speeds of sound in and isentropic compressibilities of (n-butanol + n-pentane) at T=298.15 K, and (n-butanol + n-hexane, or n-heptane, or n-octane, or 2,2,4-trimethylpentane) at T=303.15 K. J. Chem. Thermodyn. 30, 885–895 (1998)

    Article  CAS  Google Scholar 

  14. Pal, A., Singh, Y.P.: Speeds of sound and isentropic compressibilities of {xH(CH2)ν O(CH2)2O(CH2)2OH + (1−x)H2O} (ν=1, 2, and 4) at the temperature 298.15 K. J. Chem. Thermodyn. 28, 143–151 (1996)

    Article  CAS  Google Scholar 

  15. Nomoto, O., Endo, H.: Sound velocity in polyoxyethylene(6)laurylether aqueous solution. Bull. Chem. Soc. Jpn. 43, 3722–3728 (1970)

    Article  CAS  Google Scholar 

  16. Douheret, G., Pal, A., Davis, M.I.: Ultrasonic speeds and isentropic functions of (2-alkoxyethanol + water) at 298.15 K. J. Chem. Thermodyn. 22, 99–108 (1990)

    Article  CAS  Google Scholar 

  17. Pal, A.: Different approaches to calculate ideal expansibility, internal pressure and speeds of sound of binary liquid mixtures and their excess counterparts. Indian J. Chem. A 46, 755–759 (2007)

    Google Scholar 

  18. Pal, A.: Evaluation of excess isentropic compressibilities and viscosities of n-butoxyethanols with water at 298.15 K. Indian J. Chem. A 37, 109–113 (1998)

    Google Scholar 

  19. Papamatthaiakis, D., Aroni, F., Havredaki, V.: Isentropic compressibilities of (amide + water) mixture: a comparative study. J. Chem. Thermodyn. 40, 107–118 (2008)

    Article  CAS  Google Scholar 

  20. IUPAC commission on atomic weights and isotopic abundances 1985. Pure Appl. Chem. 58, 1677–1692 (1986)

    Google Scholar 

  21. Romero, C.M., Guzman, C., Gascon, I., Cea, P., Lopez, M.C.: Speeds of sound and isentropic compressibilities for binary mixtures of a cyclic ether with a cyclic compound at three temperatures. Int. J. Thermophys. 27, 760–776 (2006)

    Article  CAS  Google Scholar 

  22. Pereiro, A.B., Rodriguez, A., Canosa, J., Tojo, J.: Density and speed of sound of dialkyl carbonates with cyclopentane and methyl cyclohexane at several temperatures. J. Chem. Eng. Data 49, 1392–1399 (2004)

    Article  CAS  Google Scholar 

  23. Gonzalez, B., Calvar, N., Dominguez, A., Tojo, J.: Dynamic viscosities of binary mixtures of cycloalkanes with primary alcohols at T=(293.15, 298.15 and 303.15) K: New UNIFAC-VISCO interaction parameters. J. Chem. Thermodyn. 39, 322–334 (2007)

    Article  CAS  Google Scholar 

  24. Peleteiro, J., Gonzalez-Salgado, J., Cerdeirina, C.A., Valencia, J.L., Romani, L.: Thermodynamics of 1-alkanol + n-alkane mixtures: new data and predictions from NTGC model. Fluid Phase Equilib. 191, 83–97 (2001)

    Article  CAS  Google Scholar 

  25. Rodriguez, A., Canosa, J., Tojo, J.: Density, refractive index and speed of sound of binary mixtures (diethyl carbonate + alcohols) at several temperatures. J. Chem. Eng. Data 46, 1506–1515 (2001)

    Article  CAS  Google Scholar 

  26. Pal, A., Gaba, R.: Densities, excess molar volumes, speeds of sound and isothermal compressibilities of 2-(2-hexylethoxy)ethanol + n-alkanols system at temperatures between (288.15 and 308.15) K. J. Chem. Thermodyn. 10, 750–758 (2008)

    Article  CAS  Google Scholar 

  27. Verdier, E., Orchilles, A.V., Miguel, P.J., Martinez-Andreu, A.: Volumetric and ultrasonic studies of 1-ethyl-3-methylimidazolium trifluoromethane sulfonate ionic liquid with methanol, ethanol, 1-propanol and water at several temperatures. J. Chem. Eng. Data 52, 1468–1482 (2007)

    Article  CAS  Google Scholar 

  28. Benson, G.C., D’Arcy, P.J., Kiyohara, O.: Thermodynamics of aqueous mixtures of non-electrolytes II. Isobaric heat capacities of water-n-alcohol mixtures at 25 °C. J. Solution Chem. 9, 931–938 (1980)

    Article  CAS  Google Scholar 

  29. Benson, G.C., Kiyohara, O.: Thermodynamics of aqueous mixtures of non-electrolytes I. Excess volumes of water-n-alcohol mixtures at several temperatures. J. Solution Chem. 9, 791–804 (1980)

    Article  CAS  Google Scholar 

  30. Ribeiro, A.F., Langa, E., Mainer, A.M., Pardo, J.I., Urieta, J.S.: Excess molar enthalpy, density, and speed of sound for the mixtures β-pinene + 1- or 2-pentanol at (283.15, 298.15 and 313.15) K. J. Chem. Eng. Data 51, 1846–1851 (2006)

    Google Scholar 

  31. Hales, J.L., Ellender, J.H.: Liquid densities from 293 to 490 K of nine aliphatic alcohols. J. Chem. Thermodyn. 8, 1177–1184 (1976)

    Article  CAS  Google Scholar 

  32. Al-Jimaz, A.S., Al-Kandary, J.A., Abdul-Latif, Abdul-Haq, A.: Acoustical and excess properties of {chlorobenzene + 1-hexanol, or 1-heptanol, or 1-octanol, or 1-nonanol, or 1-decanol} at (298.15, 303.15, 308.15 and 313.15) K. J. Chem. Eng. Data 52, 206–214 (2007)

    Article  CAS  Google Scholar 

  33. Pal, A., Kumar, H., Kumar, A.: Speeds of sound, excess isentropic compressibility and apparent molar compressibility properties for binary mixtures of dipropylene glycol tert-butyl ether with methanol, 1-propanol, 1-pentanol and 1-heptanol at 298.15 K. Z. Phys. Chem. 221, 757–773 (2007)

    CAS  Google Scholar 

  34. Rowlinson, J.S.: Liquids, Liquid Mixtures. Butterworths, London (1971)

    Google Scholar 

  35. Jacobson, B.: Ultrasonic velocity in liquids and liquid mixtures. J. Chem. Phys. 20, 927–928 (1952)

    Article  CAS  Google Scholar 

  36. Dewan, R.K., Gupta, C.M., Mehta, S.K.: Ultrasonic study of (ethylbenzene + n-alkanol). Acustica 65, 245–253 (1988)

    CAS  Google Scholar 

  37. Schaafs, W.: Ultrasonic velocity in organic solutions. Z. Phys. 105, 658–661 (1937)

    Google Scholar 

  38. Kinart, C.M., Kinart, W.J., Chekinska-Majak, D.: Relative permittivity, viscosity and speeds of sound for 2-ethocyethanol + butyl amine mixtures. J. Chem. Eng. Data 48, 1037–1039 (2003)

    Article  CAS  Google Scholar 

  39. Lara, J., Desnoyers, J.E.: Isentropic compressibilities of alcohol-water mixtures at 25 °C. J. Solution Chem. 10, 465–478 (1981)

    Article  CAS  Google Scholar 

  40. Savaroglu, G., Aral, E.: Densities, speeds of sound and isentropic compressibilities of the ternary mixture 2-propanol + acetone + cyclohexane and the constituent binary mixtures at 298.15 and 313.15 K. Fluid Phase Equilib. 215, 253–262 (2004)

    Article  CAS  Google Scholar 

  41. Utter, N., Kling, R.: Thermodynamics of liquid mixtures. Proc. C. R. Acad. Sci. Paris 227, 41–42 (1948)

    CAS  Google Scholar 

  42. Van Dael, W., Vangeel, E.: Abst. Pap. In: Proc. 1st International Conference on Calorimetry and Thermodynamics. Warsaw, Poland, p. 555 (1969)

  43. Douheret, G., Khadir, A., Pal, A.: Thermodynamic characterization of the water + methanol system at 298.15 K. Thermochim. Acta 142, 219–243 (1989)

    Article  CAS  Google Scholar 

  44. Handa, Y.P., Halpin, C.J., Benson, G.C.: Ultrasonic speeds and isentropic compressibilities for (hexan-1-ol + n-alkane) at 298.15 K. J. Chem. Thermodyn. 13, 875–886 (1981)

    Article  CAS  Google Scholar 

  45. Benson, G.C., Kumasan, M.K.: Isentropic pressure derivative of the excess partial molar volume of a mixture. J. Chem. Thermodyn. 15, 799–800 (1983)

    Article  CAS  Google Scholar 

  46. Douheret, G., Salgado, C., Davis, M.I., Loya, J.: Ultrasonic speeds and isentropic functions of 2-(2-alkoxyethoxy)ethanol + water at 298.15 K. Thermochim. Acta 207, 313–328 (1992)

    Article  CAS  Google Scholar 

  47. 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 

  48. Schaffs, W.: Problem of a theoretical calculation of velocity of sound for binary liquid mixtures. Acustica 33, 272–276 (1975)

    Google Scholar 

  49. Pal, A., Kumar, H.: Speeds of sound and isentropic compressibilities of mixtures containing dipropylene glycol monomethyl ether and n-alkanols at 298.15 K. Indian J. Phys. B 75, 419–426 (2001)

    Google Scholar 

  50. Nomoto, O.: Empirical formula for sound velocity in liquid mixtures. J. Phys. Soc. Jpn. 13, 1528–1532 (1958)

    Article  CAS  Google Scholar 

  51. Kalidoss, M., Srinivasamoorthy, R.: Ultrasonic study of ternary liquid mixtures of cyclohexane + 1, 2-dichloromethane + n-propanol + n-butanol. J.  Pure Appl. Ultrason. 19, 9–15 (1997)

    Google Scholar 

  52. Assarson, P., Eirich, F.R.: Preparation of amides in aqueous solutions. I. Viscosity and density changes of amide-water systems. An analysis of volume deficiencies of mixtures based on molecular size differences (mixing of hard spheres). J. Phys. Chem. 72, 2710–2719 (1968)

    Article  Google Scholar 

  53. Fort, R.J., Moose, W.R.: Adiabatic compressibilities of binary liquid mixtures. Trans. Faraday Soc. 61, 2102–2111 (1965)

    Article  CAS  Google Scholar 

  54. Ajhagiri, S., Jayakumar, S., Padmanaban, R., Gunasekran, S., Srinivasan, S.: Acoustic and thermodynamic properties of binary liquid mixtures of benzaldehyde in hexane and cyclohexane. J. Solution Chem. 38, 441–448 (2009)

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Chemistry, Dr. B.R. Ambedkar National Institute of Technology, Jalandhar, 144 011, Punjab, India

    Harsh Kumar

  2. Department of Chemistry, National Institute of Technology, Kurukshetra, 136 119, Haryana, India

    Sanjay Sharma

Authors
  1. Harsh Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Sanjay Sharma
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Harsh Kumar.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kumar, H., Sharma, S. Acoustical Studies of Binary Liquid Mixtures of Cyclopentane with 1-Alkanol at Different Temperatures and Different Approaches for Ideal Mixing Laws. J Solution Chem 39, 967–986 (2010). https://doi.org/10.1007/s10953-010-9560-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10953-010-9560-7

Keywords

Search

Navigation