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Isentropic Compressibilities—Experimental Origin and the Quest for their Rigorous Estimation in Thermodynamically Ideal Liquid Mixtures
Author(s) -
Douhéret Gérard,
Davis Michael I.,
Reis João Carlos R.,
Blandamer Michael J.
Publication year - 2001
Publication title -
chemphyschem
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.016
H-Index - 140
eISSN - 1439-7641
pISSN - 1439-4235
DOI - 10.1002/1439-7641(20010316)2:3<148::aid-cphc148>3.0.co;2-j
Subject(s) - isentropic process , ideal (ethics) , speed of sound , thermodynamics , ideal solution , compressibility , gibbs free energy , statistical physics , ideal gas , mathematics , physics , philosophy , epistemology
In this review, attention is initially focused upon the evolution of the Newton–Laplace Equation, that links the measured speed of sound in a fluid in conjunction with its density, to a reliable estimate of its isentropic compressibility κ S . Definitions of ideal and excess isentropic quantities are formulated on the premise that the thermodynamic properties of an ideal mixture are mutually related in the same manner as are those of a real mixture or a pure substance. It is shown that both intensive and extensive properties can be derived from the ideal Gibbs energy. Different approaches previously used to calculate ideal isentropic quantities are examined and some subtle errors are identified. The consequences of using conflicting definitions are pointed out. Isentropic pressure derivatives obtained under different conditions and empirical models for estimating the differences between ultrasonic speeds in real and ideal liquid mixtures are discussed.