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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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4.4 Measurement <strong>of</strong> solvent activity 159<br />

Figure 4.4.6. Schematic <strong>of</strong> the experimental arrangement<br />

for an isopiestic measurements. [Reprinted with permission<br />

from Ref. 77, Copyright 1995, Elsevier Science].<br />

evaporates and condenses (this is the isothermal<br />

“distillation” process) between<br />

them as long as the chemical potential <strong>of</strong> the<br />

solvent is equal in all solutions. At least one<br />

solution serves as reference system, i.e., its<br />

solvent activity vs. solvent concentration<br />

dependence is precisely known. After an<br />

exact determination <strong>of</strong> the solvent concentration<br />

in all equilibrated solutions (usually<br />

by weighing), the solvent activity in all<br />

measured solutions is known from and<br />

equal to the activity <strong>of</strong> the reference solution,<br />

Equations [4.4.1 to 4.4.5]. This<br />

method is almost exclusively used for aqueous<br />

polymer solutions, where salt solutions<br />

can be applied as reference systems. It is a<br />

standard method for inorganic salt systems.<br />

Examples <strong>of</strong> this technique are given elsewhere.<br />

76-80 Figure 4.4.6 provides a scheme<br />

<strong>of</strong> the experimental arrangement for isopiestic<br />

measurements as used by Grossmann<br />

et al. 77 to illustrate the common principle.<br />

The complete apparatus consists <strong>of</strong> six removable stainless steel cells placed in hexagonal<br />

pattern in a copper block. The copper block is mounted in a chamber which is<br />

thermostated. Each cell has a volume <strong>of</strong> about 8 cm 3 and is closed by a removable lid. During<br />

the experiment, the cells are filled with about 2 cm 3 polymer solution (or reference solution)<br />

and placed into the copper block. The chamber is sealed , thermostated and evacuated.<br />

The lids are then opened and solvent is allowed to equilibrate between the cells as explained<br />

above. After equilibration, the cells are closed, removed from the chamber and weighed<br />

precisely. Equilibrium requires usually a couple <strong>of</strong> days up to some weeks. During this time,<br />

the temperature <strong>of</strong> the thermostat does not fluctuate by less than ±0.1 K, which is realized by<br />

the copper block that works as a thermal buffer.<br />

Temperature lowering at specified isobaric or isochoric conditions is the most <strong>of</strong>ten<br />

used technique for the determination <strong>of</strong> solvent vapor pressures or activities in polymer solutions.<br />

The majority <strong>of</strong> all measurements is made using this kind <strong>of</strong> an isopiestic procedure<br />

where the pure solvent is used as reference system. The equilibrium condition <strong>of</strong> equal<br />

chemical potential <strong>of</strong> the solvent in the polymer solution as well as in the reference system is<br />

realized by keeping the pure solvent at a lower temperature (T 1) than the measuring temperature<br />

(T 2) <strong>of</strong> the solution. At equilibrium, the vapor pressure <strong>of</strong> the pure solvent at the lower<br />

temperature is then equal to the partial pressure <strong>of</strong> the solvent in the polymer solution, i.e.,<br />

s<br />

P1 (T1)=P1(T2). Equilibrium is again established via the common vapor phase for both subsystems.<br />

The vapor pressure <strong>of</strong> the pure solvent is either known from independent data or<br />

measured additionally in connection with the apparatus. The composition <strong>of</strong> the polymer<br />

solution can be altered by changing T1 and a wide range <strong>of</strong> compositions can be studied (between<br />

30-40 and 85-90 wt% polymer, depending on the solvent). Measurements above<br />

85-90 wt% polymer are subject to increasing errors because <strong>of</strong> surface adsorption effects.

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