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Gibbs free energy is the amount of work available for an isobaric or isothermal process. In other words it is the energy required to create a system out of nothing in an environment at constant pressure and temperature. Gibbs free energy is also considered to be the maximum amount of obtainable energy from a reaction.
Helmholtz free energy is the energy required to create a system out of nothing in an environment at constant temperature, where it measures the useful work of a closed system under constant temperature conditions.
