Advertisement

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

Sound Velocity Liquid Mixture Ultrasonic Velocity Sound Propagation Adiabatic Compressibility 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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