Abstract :
An analytical equation of state is applied to calculate the compressed and
saturation thermodynamic properties of fluorine. The equation of state is that of
Song and Mason. It is based on a statistical-mechanical perturbation theory of
hard convex bodies and is a fifth-order polynomial in the density. There exist
three temperature-dependent parameters: 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-dependent parameters can
be calculated if the iIntermolecular pair potential is known. However, the equation
is usable with much less input than the full iIntermolecular potential, since
the scaling factor and effective volume are nearly universal functions when
expressed in suitable reduced units. The equation of state has been applied to
calculate thermodynamic parameters including the critical constants, the vapor
pressure curve, the compressibility factor, the fugacity coefficient, the enthalpy,
the entropy, the heat capacity at constant pressure, the ratio of heat capacities,
the Joule-Thomson coefficient, the Joule-Thomson inversion curve, and the
speed of sound for fluorine. The agreement with experiment is good.
