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Gibbs Free Energy is a state function because it depends only on the initial and final states of Gibbs Free Energy. We use the equation of , so the difference between products and reactants only matters.
Generally, anything with a delta in front of it will be a state function, because the delta means 'change in'. So, to calculate the change, you must subtract the initial value from the final value, therefore the only relevant values are your initial and final, fitting the definition of a state function.
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