The ethanol phase equilibrium line using the renormalization group and the Clapeyron-Clausius equation
S.V. Rykov1, I.V. Kudryavtseva2, V.A. Rykov2
1Saint Petersburg State University of Industrial Technologies and Design, Saint-Petersburg, Russia
2ITMO University, Saint-Petersburg Russia
Keywords: ethanol, pressure, density, average diameter, phase equilibrium line, Clapeyron-Clausius equation
Abstract
For ethanol, equations have been developed for vapor pressure line, the vapor and liquid density lines, and the "apparent" heat of vaporization, r *, which describe the phase equilibrium line in the temperature range from the triple point and to the critical point. All four equations are consistent in terms of critical parameters, as well as critical indices and exponents of all components of the equations, calculated within the framework of the renormalization group and scaling theory. The coefficients of saturation line, which determine the behavior of the average diameter and the order parameter in a wide vicinity of the critical point, are established based on the correlation between the critical amplitude and the critical index of the saturation line, as well as the renormalization group. The proposed phase equilibrium line model describes the experimental data of the pressure and density of saturated vapor, and the density of saturated liquid of ethanol with less uncertainty than the equations of Bazaev et al (2007), Polikhronidia et al (2007), Ustyuzhanin et al (2013), Schroeder et al (2014).
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