Abstract

The purpose of this paper is to extend the theory of ultrasonic absorption in fluids to the case of the relaxations of two interacting reactions. The linear theory of the absorption and dispersion of sound waves is developed in terms of a frequency-dependent viscosity coefficient. This coefficient is then evaluated for the familiar case of a single relaxing reaction and for the more complex case of two reactions interacting in an arbitrary way. The absorption and dispersion of the sound waves are related to familiar physical chemical quantities by explicit formulae, and non-ideality has been taken account of by the use of activity coefficients. Some discussion of the results is presented. The intention of this development is to make possible the extraction of physical chemical data from ultrasonic investigations of systems involving interacting equilibria, and such an application has been made in an accompanying paper.

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