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Basic Principles of Thermodynamics of Polymer Solutions
Published in Yuri S. Lipatov, Anatoly E. Nesterov, Thermodynamics of Polymer Blends, 2020
Yuri S. Lipatov, Anatoly E. Nesterov
where A1=1/M, A2=NAu/2M2. Such expansion of the osmotic pressure into series is called virial expansion and coefficients are virial coefficients. This general relation is valid for low molecular weight substances as well. If the interaction between molecules is absent (ideal solution) there is no excluded volume, i.e., u =0. Generally, A2≠0 and it is a measure of intermolecular interaction.
Changes of phase: comparison with experiment
Published in Michael de Podesta, Understanding the Properties of Matter, 2020
where Vm is the molar volume. We noted that the deviations from ideal gas behaviour could be described by a so-called virial expansion: () Z=1+B(T)Vm+C(T)Vm2+…
On the virial expansion of model adsorptive systems
Published in Molecular Physics, 2022
William P. Krekelberg, Vincent K. Shen
The virial expansion provides a systematic means to incorporate increasingly complex (two-body, three-body, etc) interactions, and describe thermodynamic properties beyond the infinite-dilution limit. As such, the virial expansion plays an important role in the metrology of dilute bulk gases [6], The virial expansion provides a direct link between the intermolecular interactions in a fluid and its thermodynamic properties [7,8], and therefore virial coefficients can be used as a metric for characterising fluids. In the case of a bulk fluid, the second virial coefficient is an experimentally measurable quantity that is directly related to the pairwise intermolecular forces between its constituent molecules. Thus, the second virial coefficient can be used to test the accuracy of intermolecular potentials. The reduced second virial coefficient can also be used as a parameter in corresponding states models for fluids with short-ranged attractions [9]. All of these characteristics make the virial expansion an attractive framework to describe adsorptive thermodynamics.