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The correct definition for Gibbs free energy is derived for a one component fluid system with a spherical interface. It is obtained by following a reversible path at constant T, P, and N. The process is generalized to discuss the free energies for a liquid drop containing a nucleus and for a multicomponent system containing more than one droplet. The change in Helmholtz free energy for the formation of a liquid drop from supersaturated vapor is also discussed.
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Arthur J. M. Yang (1983) studied this question.
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