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Diffusion of organic solutes in squalane
Bruce A Kowert1, Michael B Watson
1Department of Chemistry, Saint Louis University, 3501 Laclede Avenue, St. Louis, Missouri 63103, United States. kowertba@slu.edu
Translational diffusion constants for 26 hydrocarbons were measured in squalane and n-alkanes. Hydrocarbon diffusion deviates from the Stokes-Einstein relation, especially for smaller solutes in higher viscosity media.
Area of Science:
- Physical Chemistry
- Fluid Dynamics
- Thermodynamics
Background:
- The Stokes-Einstein relation predicts how fast particles move in a fluid.
- Understanding solute diffusion in liquids is crucial for various chemical and physical processes.
- Previous studies have explored diffusion in n-alkanes, but data across a wider viscosity range is needed.
Purpose of the Study:
- To measure translational diffusion constants (D) for 26 hydrocarbons in squalane at room temperature.
- To investigate deviations from the Stokes-Einstein relation across a 100-fold viscosity range.
- To analyze the relationship between solute size, viscosity, and diffusion behavior.
Main Methods:
- Utilized capillary flow techniques to determine diffusion constants.
- Collected data for 26 hydrocarbon solutes in squalane.
- Compared new data with existing diffusion data in n-alkanes (n-C(6)-n-C(16)).
Main Results:
- Measured diffusion constants for 26 hydrocarbons in squalane.
- Observed deviations from the Stokes-Einstein relation in both n-alkanes and squalane.
- Found that hydrodynamic radius (r) decreases with increasing viscosity.
- Smaller solutes exhibited larger deviations from the Stokes-Einstein relation.
Conclusions:
- The Stokes-Einstein relation is insufficient to describe solute diffusion across a wide range of viscosities.
- A modified Stokes-Einstein equation with an exponent p < 1 better fits the observed diffusion data.
- The relative sizes of solutes and the viscosity of the medium significantly impact diffusion behavior.
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