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Modeling high‐pressure gas–polymer mixtures using the sanchez‐lacombe equation of state
Author(s) -
Kiszka M. B.,
Meilchen M. A.,
McHugh M. A.
Publication year - 1988
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.1988.070360311
Subject(s) - materials science , glass transition , polymer , polystyrene , sorption , thermodynamics , methane , equation of state , polyethylene , amorphous solid , polymer chemistry , low density polyethylene , silicone rubber , natural rubber , polymer blend , composite material , chemistry , organic chemistry , physics , adsorption , copolymer
The Sanchez‐Lacombe equation of state was used to model the sorption of high‐pressure gases into solid, amorphous polymers and molten polymers. Only one adjustable parameter per binary pair, δ 12 , was used in the mixing rules to correct the deviation of the characteristic pressure of the mixture, P 12 * , from the geometric mean. The values of δ 12 which gave the best fit of the available literature data for the carbon dioxide–polymethyl methacrylate, carbon dioxide–silicone rubber, ethylene–low density polyethylene, methane–polyisobutylene, methane–low‐density and high‐density polyethylene, and methane–polystyrene systems ranged from −0.019 to 0.136. In all cases, the calculated sorption isotherms were in reasonably good agreement with the experimental data. The resultant swelling of polymethyl methacrylate and silicone rubber was also well represented by the Sanchez‐Lacombe equation of state. Because the Sanchez‐Lacombe theory is based on lattice‐fluid theory, the sorption calculations are limited to polymers which are noncrystalline, not cross‐linked or slightly crosslinked, above their glass transition temperature, or above their melting temperature. The sorption data for the amorphous polymers considered in this study were either at temperatures above the glass transition temperature of the polymer or were at sufficiently high pressures that the temperature was above the effective glass transition temperature as predicted from a theoretical relation presented by Chow.