Several versions of free-volume theory have been proposed to correlate or predict the solvent diffusion coefficient of a polymer/solvent system. The quantity of free volume is usually determined by the Williams-Landel-Ferry (WLF) equation from viscosity data of the pure component in these theories.
Self-diffusion in liquids predicted by a theory of flow through granular media
✍ Scribed by Jerzy P. Sęk
- Publisher
- American Institute of Chemical Engineers
- Year
- 1996
- Tongue
- English
- Weight
- 558 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0001-1541
No coin nor oath required. For personal study only.
✦ Synopsis
A new semiempirical model for prediction of self-difision phenomena in liquids is proposed. Assuming analogy between the concept of a free volume in liquids and a porosity of a granular medium, a capillary model of the granular bed and the Kozeny-Carman theory was applied to determine self-difision coeficients in liquids. The dimensionless free volume in liquids was evaluated using a combination of the proposed dependence and an appropriate formula available in the literature. The new model was tested for 89 sets of data concerning self-difision of different chemical substances at several values of a temperature. The average error of a prediction was between & 1% and about 3% for some data points.
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