Equation of State for Mercury

Document Type : Research Paper


An analytical equation of state by Song and Mason is developed to calculate the PVT properties of
mercury. The equation of state is based on the statistical-mechanical perturbation theory of hard convex
bodies and can be written as a fifth-order polynomial in the density. There exists three temperaturedependent
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 the
heat of vaporization and the liquid density at the melting point. The average absolute deviation for the
calculated density of mercury in the saturation and compressed state is 0.38 .