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The pressure–volume–temperature–entropy equations of state,  P – V – T – S Eos , of polyethylene ( PE ) for its isothermal, isobaric and isochoric ensembles were reported in our previous report (Part 1). In this report the correlation between the  P – V – T – S Eos  in the various ensembles was analyzed quantitatively where it was found that the three dimensional  P – T – V  plane for the  P T– T – V TEos in the isothermal ensemble was almost the same as that for the  P – T P– V PEos in the isobaric ensemble, while the 3D  T – P – S  plane for the  T – P T– S TEos in the isothermal ensemble was almost the same as that for the  T P– P – S PEos in the isobaric ensemble where the subscript of  T  and  P  mean isothermal and isobaric ensembles, respectively. The isothermal bulk modulus,and its first and second pressure derivativesandwere calculated and it was found that the 3D  T – P T–plane in the isothermal ensemble was almost the same as that for the  T P– P –in the isobaric ensemble, and the 3D  T – P T–plane in the isothermal ensemble was different only slightly from the 3D  T P– P –plane in the isobaric ensemble, while a considerable difference was observed between the 3D  T – P –planes for the isothermal and isobaric ensembles.

journal of macromolecular science, part b

Empirical Determination of the Pressure–Volume– Temperature–Entropy Equation of State of Polyethylene in Isothermal, Isobaric and Isochoric Ensembles: II. Correlation Between the Equations of State in the Various Ensembles