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1983), the Helmholtz free energy is the thermodynamic potential of the system; however, in systems for which the pressure of one phase is controlled, such as in the case of bubble nucleation in a constant-pressure liquid, the appropriate free energy that acts as the thermodynamic potential for the multi-phase system must be determined (Ward and Levart, 1984).
Assuming that the process is isothermal, gas in the bubble is ideal, and volume and temperature change of the system is negligible, Helmholtz free energy change, [Delta]F, is given as