Entropy and Gibbs free energy

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I think you're a bit confused, but I may just be misunderstanding what you're asking.

Changes in entropy and enthalpy are the two factors (along with temperature) that give you your gibbs free energy change for a given reaction (the favorability of a reaction). This is generally referred to as the thermodynamics of a reaction.

The rate of reaction is determined by the order of the reaction, the temperature, and the activation energy of the reaction. This is generally referred to as the kinetics of a reactions.

There is not necessarily a relationship between favorability and rate.
 
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