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You use difference of sums to find Gibbs free energy when you are using the Gibbs free energy of formation for the reactants and products. If you are given entropy, enthalpy, and temperature, then you would use deltaG=deltaH - TdeltaS.
Use difference of sums when the information given pertains to the Gibbs free energy of products or reactants, and the other equation when given entropy and enthalpy. Determine what information the question gives you and then you can choose an equation to plug into accordingly
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