Analysis of -prime equations of state

We present an analysis of the K -prime equations of state (EOS) due to Keane and Stacey. It is found that the two EOS differ significantly from each other in some important respects. K -prime represents the pressure derivative of the bulk modulus. It is shown that the volume dependence of K -prime and higher derivative properties predicted from the Keane EOS are compatible with those predicted from Stacey’s reciprocal K -prime EOS only when the Murnaghan approximation is valid. It has been emphasized that the Stacey EOS is more appropriate for describing the relationship between pressure and the bulk modulus and its pressure derivative. The results based on the two EOS have been compared and discussed.