A general procedure has been developed to predict the vapor−liquid equilibria (VLE) of
solvent/copolymer systems with the Panayiotou and Vera equation of state (PV-EOS), using binary
interaction parameters deduced from homopolymer VLE data. Mixing rules are proposed for the PV-EOS pure-component parameters and homopolymer−solvent binary interaction parameters in order to
predict solvent solubilities in copolymer systems. This methodology has been evaluated with VLE data
acquired in this study for water, methanol, and methyl acetate in poly(vinyl acetate), poly(vinyl alcohol),
and a copolymer comprised of these two homopolymers containing 88% (molar) poly(vinyl alcohol) repeat
units. The predictions from the PV-EOS of the copolymer VLE are in excellent agreement with our
experimental data.
Two new volumetric sorption techniques have been developed to measure thermodynamic and mass-transport properties in polymer-solvent systems at elevated pressures. They are both variations of the pressure-decay technique and differ in how the initial gas density is measured. In the first and simplest variation, the initial density is measured by extrapolation of the mass uptake curve from the region of usable data to the experiment starting time. In the second variation, the initial density is measured gravimetrically using a small titanium capsule. Concern has been voiced as to whether the extrapolation-type experiment is capable of measuring the initial gas density as accurately as a dual-chamber technique. To evaluate the accuracy of the extrapolation technique, solubility and diffusion data were collected for carbon dioxide, ethylene, and nitrogen in low-density polyethylene (LDPE) using both methods. The results indicate that the simpler extrapolation method produces the same diffusivity and solubility results as the more complicated dual-chamber method.
A new experimental technique has been developed to measure the solubility of gases and vapors
in polymers and other sorbents at elevated pressures. The technique involves measuring the
total weight of a vessel containing the sorbent material pressurized with a vapor, assessing the
amount of vapor in the headspace of the vessel with an appropriate equation of state, and
evaluating the total amount of vapor in (on) the sorbent material by the difference. Adsorption
isotherms for carbon dioxide and nitrogen on an activated carbon were measured with the static
sorption technique. These data were found to agree well with data taken with a standard
volumetric technique. Sorption data obtained using this method for carbon dioxide in poly(vinyl
acetate) and propylene in poly(propylene) compare well with data acquired by established
techniques. The group-contribution lattice-fluid theory equation of state was used to predict
solubility in these systems, and the Panayiotou−Vera equation of state was applied to correlate
the solubility data.
In this work, the static sorption technique has been extended to measure the diffusivity as well as the solubility of gases in polymers at elevated pressures. This has been accomplished by operating several static sorption capsules in parallel in order to measure the fractional mass uptake of a gas by a polymer with time. Equilibrium and diffusion data of propylene and ethylene in atactic polypropylene have been measured in the temperature range of 25-70 °C. The groupcontribution, lattice-fluid equation of state (GCLF-EoS) was used to correlate the equilibria data with a single value of the binary interaction parameter for each of the systems. The Vrentas-Duda free-volume theory was employed to describe the propylene and ethylene diffusivity data. The chemical potential gradient used in the free-volume correlation of the diffusivity data was obtained from the GCLF-EoS.
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