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Handbook of Solvents - George Wypych - ChemTech - Ventech!

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166 Christian Wohlfarth<br />

Figure 4.4.12. Temperature dependence <strong>of</strong> the specific<br />

retention volume V g <strong>of</strong> p-xylene in polystyrenes <strong>of</strong> varying<br />

molar masses, experimental data were measured by<br />

Glindemann. 105<br />

to real thermodynamic vapor-liquid equilibrium<br />

data. As a rule <strong>of</strong> thumb, the experimental<br />

temperature must exceed the glass<br />

transition temperature by about 50K. Form<br />

and width <strong>of</strong> the S-shaped region depend<br />

somewhat on the solvent used and, as can<br />

be seen from the picture, there is a certain<br />

dependence on molar mass <strong>of</strong> the polymer.<br />

Data on the right side at temperatures below<br />

the glass transition describe mainly surface<br />

adsorption effects.<br />

Brockmeier et al. 106,107 showed that<br />

GLC can also be used to determine the partial<br />

pressure <strong>of</strong> a solute in a polymer solution<br />

at concentrations as great as 50 wt%<br />

solute. In this case <strong>of</strong> finite concentration<br />

IGC, a uniform background concentration<br />

<strong>of</strong> the solute is established in the carrier gas.<br />

The carrier gas is diverted to a saturator<br />

through a metering valve. In the saturator it<br />

passes through a diffuser in a well-stirred, temperature-controlled liquid bath. It leaves the<br />

separator with the solute equilibrium vapor pressure in the carrier gas. The solute concentration<br />

is varied by changing the saturator temperature. Precise control <strong>of</strong> the temperature bath<br />

is needed in order to obtain a constant plateau concentration. Upon leaving the saturator the<br />

gas flows to the injector block and then to the column. As in the infinite dilute case a small<br />

pulse <strong>of</strong> the solvent is then injected. This technique is known as elution on a plateau, Conder<br />

and Purnell. 108,109 Because finite concentration IGC is technically more complicated, only<br />

few workers have applied it. Price and Guillet 110 demonstrated that results for solvent activity,<br />

activity coefficient or χ-function are in good agreement with those obtained by traditional<br />

isopiestic vapor sorption methods. Whereas the vapor sorption results are more<br />

accurate at higher concentrations, the reverse is true for finite concentration IGC since<br />

larger injection volumes have to be used, which strains the theory on which the calculations<br />

are based. Also, at large vapor concentrations the chromatographic peaks become more<br />

spread out, making the measurement <strong>of</strong> retention times less precise. Additionally, the concentration<br />

range is limited by the requirement that the saturator temperature must be below<br />

that <strong>of</strong> the column. Clearly, at higher measuring temperatures, higher solvent concentrations<br />

may be used. Finite concentration IGC can be extended to multi-component systems.<br />

Especially ternary polymer solutions were investigated to some extend with this technique,<br />

e.g., Bonner and coworkers 111,112 or Glover and coworkers. 113-115 Data reduction is somewhat<br />

complicated, however.<br />

Danner et al. 116 tested the frontal analysis by characteristic point (FACP) technique to<br />

measure thermodynamic data for polymer-solvent systems at finite concentrations. In the<br />

FACP technique, a complete isotherm can be derived from the shape <strong>of</strong> one breakthrough<br />

pr<strong>of</strong>ile. A point on an isotherm is obtained by measuring the retention volume <strong>of</strong> the characteristic<br />

point at the corresponding concentration. The methods to determine thermodynamic<br />

data by FACP technique were discussed in detail by Conder and Young. 117

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