Related Experiment Video
Updated: Apr 3, 2026

Phase Behavior of Charged Vesicles Under Symmetric and Asymmetric Solution Conditions Monitored with Fluorescence Microscopy
Published on: October 24, 2017
The osmotic virial formulation of the free energy of polymer mixing
August W Bosse1, Jack F Douglas2
1Corporate Strategic Research, ExxonMobil Research and Engineering Company, Annandale, New Jersey 08801, USA.
Abstract:
We derive an alternative formulation of the free energy of polymer mixing in terms of an osmotic virial expansion. Starting from a generalized free energy of mixing, and the assumption that the internal energy of mixing is analytic in the polymer composition variable, we demonstrate that the free energy of mixing can be represented as an infinite series in the osmotic virial coefficients. This osmotic virial formulation is consistent with, but more general than, a relationship derived for polymer blends with structured monomers by Dudowicz, Freed, and Douglas [J. Chem. Phys. 116, 9983 (2002)] and Douglas, Dudowicz, and Freed [J. Chem. Phys. 127, 224901 (2007)].
Related Concept Videos
Osmotic Pressure
Chemical and Solubility Equilibria
The Thermodynamics of Mixing
Energetics of Solution Formation
When the strengths of the intermolecular forces of attraction between solute and solvent species in a solution are no different than those present in the separated components, the solution is formed with no accompanying energy change. Formation of the solution requires the solute–solute and solvent–solvent...
Thermodynamic Properties of Ideal Solutions
Entropy and Solvation

