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Gibb's free energy accounts for the enthalpy and entropy of the system. You can think of the H term as all of the the energy in the system and TΔS as the energy lost to heat and entropy.
Gibbs free energy is basically the amount of energy that is available to do useful work in the system. The equation for Gibbs free energy takes the total enthalpy of the system and subtracts whatever energy is lost through the t delta s term. The remaining energy is the amount of energy left to do useful work.
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