# Optimal Temperature Policy for First-Order Reversible Reactions

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Consider the first-order reversible reaction involving chemical species and : .
The reaction rate for is given by: , where is the fraction of converted, and are the reaction rate constants, and and are the initial concentrations of species and * *with .

Contributed by: Housam Binous and Ahmed Bellagi (March 2011)

Open content licensed under CC BY-NC-SA

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C. D. Fournier and F. R. Groves, "Rapid Method for Calculating Reactor Temperature Profiles," *Chem. Eng.*, 77(3), 1970 p. 121.

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