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Gibbs free energy represents the total energy that is 'free' after a reaction. The energy from electrons and electrostatic charges are not included in this 'free energy.' Free energy is energy that can be used to do work.
Gibbs free energy measures the amount of energy that is free after a reaction, basically the energy left that is able to do work. Delta H measures the amount of energy that was taken in by a reaction so that the reaction could run, or the amount of energy that the reaction released when it ran.
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