On the Calculation of the Compressibility from Ultrasonic Velocity

  • Helge Pfeiffer
  • Karel Heremans
Conference paper

Abstract

The adiabatic compressibility of liquids can be determined by measurements of the sound velocity and the density, quantities that are re­lated by the Newton-Laplace equation. In order to interpret the apparent compressibility of solutes in highly diluted solutions one must know the re­lation between the compressibility and the sound velocity of the solution un­der ideal conditions. The usual model is the Urick equation which assumes the validity of the Newton-Laplace equation for mixtures and the ideal addi­tivity of the adiabatic compressibilities. However, there are a number of dif­ferent models for the additivity of the sound velocity which are based on as­sumptions that are inconsistent with the Urick model. We revisit some approaches and discuss the consequences for the calculation of the com­pressibility of proteins.

Keywords

Hydration Sodium Chloride Glycine Alanine Compressibility 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Kharakoz DP and Sarvazyan AP (1993) Hydrational and intrinsic compressibilities of globular-proteins. Biopolymers 33 (1): 11–26.CrossRefGoogle Scholar
  2. [2]
    Chalikian TV, Sarvazyan AP, Funck T, Cain CA and Breslauer KJ. (1994) Partial molar characteristics of glycine and alanine in aqueous-solutions at high-pressures calculated from ultrasonic velocity data. J. Phys. Chem. 98 (1): 321–328.CrossRefGoogle Scholar
  3. [3]
    Pfeiffer H and Heremans K (2002) Apparent sound velocity of lysozyme in aqueous solutions. Chem. Phys. Letters 361 (3–4): 226–230.CrossRefGoogle Scholar
  4. [4]
    Barnartt S (1952) The velocity of sound in electrolytic solutions. J. Chem. Phys. 20 (2): 278–279.CrossRefGoogle Scholar
  5. [5]
    Owen BB and Simons HL (1957) Standard partial molal compressibilities by ultrasonics. I. Sodium chloride and potassium Chloride at 25 degree. J. Phys. Chem. 61: 479–482.Google Scholar
  6. [6]
    Povey MJW (1997) Ultrasonic Techniques for Fluids Characterization, Academic Press, San Diego.Google Scholar
  7. [7]
    Glinski J (2002) Additivity of Sound Velocity in Binary Liquid Mixtures. J. Solution Chem. 31: 59–70.CrossRefGoogle Scholar
  8. [8]
    Douhéret G, Davis MI, Reis JCR and Blandamer MJ (2001) Isentropic compressibilities-experimental origin and the quest for their rigorous estimation in thermodynamically ideal liquid mixtures. ChemPhysChem 2 (3): 149–161.CrossRefGoogle Scholar
  9. [9]
    Van Dael W (1975) Thermodynamica properties and the velocity of sound. In: Le Neidre, B and Vodar, B Experimental thermodynamics II - Experimental thermodynamics of non-reacting fluids. London, Butterworths.Google Scholar
  10. [10]
    Natta G and Baccaredda M (1948) Sulla velocità di propagazione degli ultrasuoni nelle miscele ideali. Atti Accad. Naz. Lincei–Rend. Sc. fis. mat.e nat. 4: 360–366.Google Scholar
  11. [11]
    Ernst S, Glinski J and Jezowskatrzebiatowska B (1979) Dependence of the ultrasound velocity on association of liquids. Acta Phys. Polon. 55 (4): 501–516.Google Scholar
  12. [12]
    Schaaffs W (1967) Molecular Acoustics. In: Landolt-Börnstein New Series Group I I, Atomic and Molecular Physics. Springer, Berlin.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Helge Pfeiffer
    • 1
  • Karel Heremans
    • 1
  1. 1.Department of ChemistryKatholieke Universiteit LeuvenLeuvenBelgium

Personalised recommendations