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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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4.4 Measurement <strong>of</strong> solvent activity 177<br />

to obtain diffusion coefficients. Comparison with gravimetric sorption measurements demonstrated<br />

the accuracy <strong>of</strong> the experiment. Because very thin films are applied, equilibrium<br />

solvent absorption also can be obtained at polymer mass fractions approaching 1, as with<br />

the IGC experiment. Comparison to IGC-data gives good agreement. Sorption-desorption<br />

hysteresis has never been observed when using piezoelectric detectors. Measurements are<br />

limited to a concentration range where the swollen polymer film is still stable at the crystal<br />

surface. Equilibrium is rather quickly established, usually after 3-4 hours, i.e., an isotherm<br />

can be measured within some days. With the corresponding equipment, high pressures and<br />

high temperatures can be applied, too.<br />

IGC is the most rapid method and it is the recommended technique for the infinite dilution<br />

range <strong>of</strong> the solvent in the (liquid, molten) polymer. Measurements can also be made<br />

to obtain diffusion coefficients. Column preparation and finding optimum experimental<br />

conditions are the most time-consuming tasks. These tasks require quite a lot <strong>of</strong> experience.<br />

The final measurements can be automated and provide quick, reliable and reproducible results.<br />

Temperature and solvent dependencies can easily be investigated. The common accuracy<br />

is 1-3% with respect to data <strong>of</strong> the χ-function or Henry’s constant. There is no need to<br />

degas the solvents or to purify them except from impurities which may react with the polymer.<br />

Limits are mainly given by the glass transition temperature <strong>of</strong> the polymer as explained<br />

above. Due to this problem, most IGC measurements are made at temperatures well above<br />

100 o C. On the other hand, temperatures well above 100 o C can cause the problem <strong>of</strong> thermal<br />

ageing and degradation <strong>of</strong> the polymer sample if temperatures are too high. In comparison<br />

to IGC, vapor pressure measurements were made in most cases below 100 o C. There were<br />

some special investigations in earlier literature to compare IGC-data at infinite dilution with<br />

those from vapor pressure measurements at concentrated solutions, e.g., Refs. 110,136-138 Differences<br />

between IGC-data and vapor pressure measurements reported in older papers are<br />

mainly caused by errors with the IGC technique. Temperatures were used too near or even<br />

within the glass transition region, unsuitable polymer loading was applied, non-equilibrium<br />

conditions were used. But, there are also errors from/within vapor pressure data, mainly<br />

sorption/desorption hysteresis at too high polymer concentrations because <strong>of</strong> non-equilibrium<br />

conditions. Today it is accepted that there are no differences between IGC-data and vapor<br />

pressure measurements if all thermodynamic equilibrium conditions are carefully<br />

obeyed. In contrast to vapor pressure measurements, IGC can also be applied with thermodynamically<br />

bad solvents. It is the only method to obtain limiting activity coefficients for<br />

strong non-solvents. Even mass fraction based activity coefficients above 25 or χ-values <strong>of</strong><br />

2 or more can be measured.<br />

Finite concentration IGC provides the possibility to connect advantages from IGC and<br />

vapor pressure measurements because it can be applied between 50 and 100 wt% polymer.<br />

However, the experimental technique is more sophisticated, data reduction is more complicated,<br />

and only few workers have applied it. On the other hand, much experimental time can<br />

be saved since finite concentration IGC is a rapid method. One isotherm can be observed<br />

within one day (or two). Price and Guillet 110 or Danner et al. 116 demonstrated that results for<br />

solvent activity coefficients and χ-functions or sorption isotherms are in good agreement<br />

with those obtained by traditional isopiestic vapor sorption methods. The concentration<br />

range <strong>of</strong> finite concentration IGC is limited by the requirement that the saturator temperature<br />

must be below that <strong>of</strong> the column. Clearly, at higher measuring temperatures, higher

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