For the reversible, one‑step reaction,   A+A⥫ k1k-1⥬B+C   the rate constant for the forward reaction, ?1, is 269 L⋅mol−1⋅min−1 and the rate constant for the reverse reaction, ?-1, is 371 L⋅mol−1⋅min−1 at a given temperature. The activation energy for the forward reaction is 43.8 kJ⋅mol−1, whereas the activation energy for the reverse reaction is 20.2 kJ⋅mol−1. Determine the equilibrium constant, ?, of this reaction

Introductory Chemistry: A Foundation
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Chapter17: Equilibrium
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For the reversible, one‑step reaction,

 

A+A⥫ k1k-1⥬B+C

 

the rate constant for the forward reaction, ?1, is 269 L⋅mol−1⋅min−1 and the rate constant for the reverse reaction, ?-1, is 371 L⋅mol−1⋅min−1 at a given temperature. The activation energy for the forward reaction is 43.8 kJ⋅mol−1, whereas the activation energy for the reverse reaction is 20.2 kJ⋅mol−1.

Determine the equilibrium constant, ?, of this reaction.
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