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The Problem of a Theoretical Calculation of the Velocity of Sound for Binary Liquid Mixtures

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Seshadri and Reddy [1] have calculated the velocity of sound for eight mixtures of cyclohexane with other fluids by the molecular kinetic theory of Schaaffs and by the theory of free lengths of Jacobson. They compared the results with the measured values. The divergences are relatively great. Seshadri and Reddy thereby presume the theory of Jacobson to be superior.

The molecular kinetic calculations however show considerable errors, because wrong molecular volumes and collision factors were used. By application of the correct formulae and data a nearly perfect agreement between measurement and theory using the molecular kinetic theory is obtained, both by the direct method with the molecular acoustic equation for sound velocity and by the indirect method with the molar acoustic volume.

It is shown that the agreement between measurement and the molecular kinetic theory comes from the fact that the molecules are treated as a real non-elastic substance, whereas in the theory of free lengths they are rigid spheres.
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Document Type: Research Article

Publication date: September 1, 1975

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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