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Excess compressibility in binary liquid mixtures.

F Aliotta¹, J Gapiński, M Pochylski

¹Istituto per i Processi Chimico-Fisici del CNR, Sede di Messina, Via La Farina 237, 98123 Messina, Italy.

The Journal of Chemical Physics

|June 22, 2007

Summary

Hypersonic velocities from Brillouin scattering reveal molecular liquid compressibility depends on volume fraction. Statistical effects, not molecular interactions, explain excess compressibility, as shown by a hard sphere model.

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Area of Science:

Physical Chemistry
Materials Science
Fluid Dynamics

Background:

Understanding the thermodynamic and structural properties of liquid mixtures is crucial for various scientific and industrial applications.
Molecular interactions and statistical effects significantly influence the macroscopic properties of liquid systems.

Purpose of the Study:

To investigate the relationship between adiabatic compressibility and volume fraction in molecular liquid mixtures.
To determine if molecular interactions or statistical effects are the primary drivers of excess compressibility.

Main Methods:

Brillouin scattering experiments were conducted to measure hypersonic velocities in molecular liquid mixtures.
Adiabatic compressibility was calculated as a function of solute volume fraction.
Experimental results were compared with a hard sphere mixture model.

Main Results:

A quadratic dependence of excess compressibility on solute volume fraction was observed.
This dependence was successfully explained by simple statistical effects, specifically excluded volume effects.
A prototype hard sphere mixture model accurately reproduced experimental findings, highlighting the role of statistical mechanics.

Conclusions:

The observed excess compressibility in molecular liquid mixtures is primarily governed by statistical effects (excluded volume) rather than specific intermolecular interactions.
A simple hard sphere model can effectively predict the structural and thermodynamic behavior of such mixtures.
Analysis of compressibility dependence on volume fraction provides insights into the structural information of liquid mixtures.