Cellular respiration is a redox process that mainly occurs in mitochondria, whereas Gibbs's free energy refers to the energy in a closed system.
Cellular respiration refers to the oxide reduction reactions (redox) associated with the production of energy in aerobic cells.
Cellular respiration occurs in the cytoplasm (glycolysis) and mitochondria (Krebs cycle and oxidative phosphorylation).
Finally, in thermodynamics, the Gibbs free energy refers to the energy generated in a closed system.
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