We describe methods by which all of the observable thermodynamic properties of a compressed gas. including the compressibility factor and the isochoric heat capacity, ,nay be determined from sound speed data by numerical integration of a pair of partial differenti~,l equations. The technique ,nay be employed over a wide range of conditions. Initial values are required, but we demonstrate that values specified on an isotherm close to the critical temperature are sufficient for application of the method to the entire homogeneous fluid region at subcritical densities. The method may also be extended to higher densities at temperatures above the critical. The effects of errors in both the initial values and the speed of sound are examined in detail by means of ~,nalytic and numerical results. The rest, Its indicate that all of the observable thermodynamic properties may be obtained with an uncertainty equal to or less than that achievable by the best available alternative techniques.KEY WORDS: equation of state: speed of sound: thermodynamic properties.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.