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Gibbs free energy is delta G, and standard is delta G not at certain conditions. I believe it's 1 atm and 273.15 Kelvin
The standard Gibbs Free Energy is fixed for a certain reaction and temperature. It is also under standard conditions and the difference between the Gibbs free energy of pure products and reactants.
Standard Gibbs Free Energy is at specific conditions, whereas just gibbs free energy can be at any given conditions!
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