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Mathematical Proofs for the Molecular Meaning of the Liberation Energy Terms in the Solvation Thermodynamics

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Abstract

The Solvation Thermodynamics (ST) is a rigorous theory that describes the solvation as a well-defined process, and is based on the separation of the chemical potential into different terms with particular meanings. Although often mentioned, the interpretations of the nature of the terms within the so called “liberation energy” are rather stated than proved. Here we justify the meaning of the three parts of such energy, with relation to a particle in a fixed position and orientation inside a phase: the work required to give it freedom to move, to provide it energy for such translation (momentum) and to make it indistinguishable from particles of the same kind. The demonstrations reinforce the clarity of the solvation as a microscopic step by step process and the statistical mechanical basis of the ST, which supports the teaching of the subject in advanced courses.

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Acknowledgements

Acknowledgments to the CNPq and CAPES for funding the studies required to produce this publication are in order. The author also must thank prof. Ricardo Luiz Longo for all the valuable discussions.

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Correspondence to Diego Raposo.

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Raposo, D. Mathematical Proofs for the Molecular Meaning of the Liberation Energy Terms in the Solvation Thermodynamics. J Solution Chem 52, 940–950 (2023). https://doi.org/10.1007/s10953-023-01283-2

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