Article | REF: K499 V1

The equation of state of polymers

Authors: Bernard LE NEINDRE, Patrick CANCOUËT

Publication date: November 10, 2009

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ABSTRACT

The equation of state remains a very efficient and powerful tool in order to study the thermodynamic properties and the behaviour phases of polymers. This article presents several equations of state for polymers in the liquid state, i.e. above melting point or above vitreous transition for amorphous polymers. These empirical and theoretical equations of state have been developed for polymers. They allow for the elaboration of analysis functions and methods of prediction of pressure, volume and temperature data of mixtures or solutions, notably at low pressure. the equations of state are classified into two categories; methodological and based upon considerations of statistical thermodynamics.

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AUTHORS

  • Bernard LE NEINDRE: Doctor of Science - Director of Research at the French National Center for Scientific Research (CNRS)

  • Patrick CANCOUËT: Doctor of Physical Sciences, Chemical Engineer - Research and Development Director (ATOMER)

 INTRODUCTION

In this study, several equations of state are presented for polymers in the liquid state, i.e. above the melting point, or above the glass transition for amorphous polymers. The numerous empirical and theoretical equations of state that have been developed for polymers constitute more or less precise analysis functions for pressure, volume and temperature (PVT) data, and form the basis of methods for predicting the PVT of mixtures or solutions, particularly at low pressures. Most of these equations require several fitting parameters determined from experimental data. They can be divided into two categories: some are phenomenological, others are based on considerations of statistical thermodynamics. Equations of state in the first category are empirical representations of volumetric data. The majority of equations in this first group correspond to isothermal compressibility equations of state.

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Equations of state for polymers