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ΔG as a Path-Independent State Function

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State

Free energy is a state function, so ΔG°rxn from ΔG°f values and from ΔH° minus TΔS° agree within the tabulated values' rounding, both depending only on initial and final states.

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Computing ΔG° through ΔG°f values and through ΔH° minus TΔS° yields nearly the same number.

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A small gap reflects rounding; only a large gap signals an arithmetic or unit error.