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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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4.4 Measurement <strong>of</strong> solvent activity 157<br />

struments with pressure compensation were sometimes used, e.g., Baxendale et al. 59 Modern<br />

electronic pressure sensors can be thermostated within certain temperature ranges. If<br />

pressure measurement is made outside the thermostated equilibrium cell, the connecting<br />

tubes must be heated slightly above the equilibrium temperature to avoid condensation.<br />

The measurement <strong>of</strong> polymer solutions with lower polymer concentrations requires<br />

very precise pressure instruments, because the difference in the pure solvent vapor pressure<br />

becomes very small with decreasing amount <strong>of</strong> polymer. At least, no one can really answer<br />

the question if real thermodynamic equilibrium is obtained or only a frozen non-equilibrium<br />

state. Non-equilibrium data can be detected from unusual shifts <strong>of</strong> the χ-function with some<br />

experience. Also, some kind <strong>of</strong> hysteresis in experimental data seems to point to non-equilibrium<br />

results. A common consistency test on the basis <strong>of</strong> the integrated Gibbs-Duhem<br />

equation does not work for vapor pressure data <strong>of</strong> binary polymer solutions because the vapor<br />

phase is pure solvent vapor. Thus, absolute vapor pressure measurements need very<br />

careful handling, plenty <strong>of</strong> time, and an experienced experimentator. They are not the<br />

method <strong>of</strong> choice for high-viscous polymer solutions.<br />

(ii) Differential vapor pressure measurement<br />

The differential method can be compared under some aspects with the absolute method, but<br />

there are some advantages. The measuring principle is to obtain the vapor pressure difference<br />

between the pure solvent and the polymer solution at the measuring temperature. Figure<br />

4.4.4 explains the basic principle as to how it is used by several authors. References 66-75<br />

provide a view <strong>of</strong> a variety <strong>of</strong> differential vapor pressure apparatuses developed and used by<br />

different authors.<br />

The polymer sample is put, after weighing, into<br />

the sample flask and the apparatus is evacuated. Degassed<br />

solvent is distilled into the measuring burette<br />

and from there a desired amount <strong>of</strong> solvent is distilled<br />

into the sample flask. The Hg-manometer is<br />

filled from the storage bulb and separates the polymer<br />

solution from the burette. Care must be taken to<br />

avoid leaving any solvent in the manometer. The apparatus<br />

is kept at constant measuring temperature,<br />

completely immersed in a thermostat for several<br />

days. After reaching equilibrium, the pressure is<br />

read from the manometer difference and the concentration<br />

is calculated from the calibrated burette meniscus<br />

difference corrected by the amount <strong>of</strong><br />

vaporized solvent in the unoccupied space <strong>of</strong> the<br />

equipment. The pure solvent vapor pressure is usually<br />

precisely known from independent experiments.<br />

Difference/differential manometers have some<br />

Figure 4.4.4. Schematic diagram <strong>of</strong> a differential<br />

vapor-pressure apparatus: 1 - connection<br />

to vacuum pump, 2 - Hg-storage bulb, 3<br />

- burette, 4 - Hg-manometer, 5 - polymer solution.<br />

The whole apparatus is kept constant<br />

at the measuring temperature within a thermostat.<br />

advantages from their construction: They are comparatively<br />

smaller and their resolution is much<br />

higher (modern pressure transducers can resolve differences<br />

<strong>of</strong> 0.1 Pa and less). However, there are the<br />

same disadvantages with sample/solution preparation<br />

(solutions <strong>of</strong> grams <strong>of</strong> polymer in some cm 3 vol-

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