Delta G is net energy available to do useful work and as a measure of free energy show mathematically that delta g is measure of free energy.
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Gibbs free energy measures the useful work obtainable from a thermodynamic system at a constant temperature and pressure. ... When a system changes from an initial state to a final state, the Gibbs free energy (ΔG) equals the work exchanged by the system with its surroundings, minus the work of the pressure force.
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