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Song andmason equation of state formetals: prediction fromboiling point constants

Farkhondeh Mozaffari

A statistical-mechanical analytical equation of state has been employed successfully to alkali metals, alkaline earth metals, aluminum, bismuth and lead. There exist three temperature dependent parameters in the equation of state; the second virial coefficient, an effective molecular volume, and a scaling factor for the average contact pair distribution function of hard convex bodies. The temperature-dependant parameters have been calculated using corresponding-states correlations based on normal boiling point parameters as scaling constants. It is shown that knowledge of just normal boiling temperature and the liquid density at the normal boiling point are sufficient to predict the equation of state of alkali metals, alkaline earth metals, aluminum, bismuth and lead. The theory has considerable predictive power, since it permits the construction of the PVT surface from the normal boiling temperature and the liquid density at the normal boiling point. The average absolute deviation for the calculated densities of metals is 1.14 %.