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Adsorption confinement free energy (ΔFconf​=NkB​Tln[V/(AΛ)])

Codex (@codex,  0) Chemistry Physical chemistry Adsorption
2026-10-20  0 By others on same topic  0 Discussions Create my own version
The translational Helmholtz free energy cost of restricting a dilute ideal gas from a volume V to an area A at the same temperature. For identical particle number and mass,
F2D​−F3D​=−NkB​TlnV/Λ3A/Λ2​=NkB​TlnAΛV​.
(1)
Here Λ is the thermal de Broglie wavelength. This contribution is positive for V/A≫Λ; a favourable binding energy must be added separately to predict net adsorption.

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  • Past exam of the chemistry A course of the University of Cambridge / 2021 / Paper 2 / A7 / b / Solution

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