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The enthalphy of a reaction does not influence the rate of reaction, it may however influence the rate of the reverse reaction, as we now would have a change in potential energy (for example an exothermic reaction requires more energy to go in the reverse then does an endothermic). This is why you can consider some products thermodynamically favourable - as they are the exothermic product which would require more energy to turn back towards reactants then to stay as products.

Overall rate is not seen in the various rate law or rate of reaction equations utilised such as arrhenius temperature dependance or the rate law equation. Rate is indepedant of enthalpy WRT to forward reaction.

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What is a correct description of enthalpy of a reaction?

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