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The internal energy,  U ,of polyethylene (PE) was determined by the relations thatand the pressure-volume-temperature-entropy equation of state ( P-V-T-S Eos ) evaluated by the experimental  P-V-T  data and  C pat 1 atm for PE where  C Vis the isochoric heat capacity,is the thermal pressure coefficient and  C Pis the isobaric heat capacity. The 3-dimensional ( 3D ) plot,  3D  plot, with the three axes,  x = V U , y = S U , z = T Uexpressed by the  3D  ( V U,  S U,  T U), the  3D  ( T U , P U . S U) or the  3D  ( T U,  V U , P U) at constant  U  in PE were determined where the four variables,  P U,  V U,  T U, and  S Uwere determined under  U  being constant. The  P-V-T-S  behaviors under the iso-internal energy process where  U  is constant were monitored by the  3D  ( V U , S U , T U). The  3D  ( V, T, P ) plot for PE underwere expressed by a line not a plane

Empirical Determination of the Internal Energy of Polyethylene based on the Pressure-Volume-Temperature-Entropy Equation of State