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- Title
A Novel Scheme for Predicting the Behaviors of Liquid and Vapor Phases of Water Using the Ideal Gas Theory.
- Authors
Abolpour, Bahador; Shamsoddini, Rahim
- Abstract
The ideal gas equation of state is the simplest equation of state for estimating the values of temperature, pressure and volume. This equation of state has a simple structure based on its simple theory. Hence, it has an explicit relation between these variables. In addition, calculating other thermodynamic properties (such as, internal energy, enthalpy and specific heats) is very simple for ideal gases. In this study, the ideal gas theory has been applied to the liquid and vapor phases of water. To this aim, the temperature and molar volume have been modified as power functions of the fluid molecular compressibility by fitting with empirical values using an optimization algorithm. In the presented method, effects of the temperature and volume on the non-ideality of the behaviors are considered, separately. These modifications let us to investigate the thermodynamic properties of these phases as ideal gases. Comparing the predicted values with the real data shows at least R-squared value equal to 0.98. Attending to the obtained equations, it is resulted that, the kinetic energy of liquid particles is independent of the compressibility factor and is a power function of temperature. The molecular volume has an important effect on the pressure of the liquid phase. In the vapor phase, both of the molecular size and intermolecular forces have significant effects on the pressure, as functions of the molecular compression.
- Subjects
EQUATIONS of state; VAPOR phase epitaxial growth; TEMPERATURE effect; COMPRESSIBILITY; MATHEMATICAL optimization
- Publication
International Journal of Thermodynamics, 2018, Vol 21, Issue 3, p174
- ISSN
1301-9724
- Publication type
Article
- DOI
10.5541/ijot.448726