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Equation of state for polymer liquids
Author(s) -
Hartmann Bruce,
Haque Mustafa A.
Publication year - 1985
Publication title -
journal of applied polymer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.575
H-Index - 166
eISSN - 1097-4628
pISSN - 0021-8995
DOI - 10.1002/app.1985.070300420
Subject(s) - thermodynamics , equation of state , glass transition , polymer , isothermal process , thermal expansion , melting point , bulk modulus , volume (thermodynamics) , materials science , amorphous solid , physics , chemistry , crystallography , composite material
An empirical pressure–volume–temperature (PVT) equation of state is presented for polymers in the liquid state, i.e., above the melting point of a crystalline polymer or the glass transition of an amorphous polymer. In terms of reduced variables, the equation is given by \documentclass{article}\pagestyle{empty}\begin{document}$\overline {PV^5 } = \overline {T^{{3 \mathord{\left/ {\vphantom {3 2}} \right. \kern-\nulldelimiterspace} 2}} } - \ln {\rm }\overline V $\end{document} . Values of the three reducing parameters are given for 23 polymers. Comparison of the predictions of this equation with experimental data are made for all of the polymers. The data are generally available up to a pressure of 2 kbar and a temperature 100°C above the melting or glass transition temperature. Measured and calculated volumes agree within about 0.001 cm 3 /g, which is the accuracy of the measurements. Detailed comparisons with the empirical Tait equation are made. Equations are also presented for isothermal bulk modulus, thermal expansion coefficient, and Gruneisen parameter.