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The equilibrium constant for the reaction A ↔ B is K=350.0 at 310 K. The rate...

The equilibrium constant for the reaction A ↔ B is K=350.0 at 310 K. The rate constant for the reaction A → B at 310 K is 200 s-1. What is the rate cosntant for the reaction B → A at 310 K?

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Answer #1

The rate of the forward reaction is equal to a rate constant for this reaction, kf, times the concentrations of the reactants

Rateforward = kf [A]

The rate of the reverse reaction is equal to a second rate constant, kr, times the concentrations of the products.

Ratereverse = kr[B]

At equilibrium the rate of the forward reaction is equal to the rate of the reverse reaction.

Rateforward = Ratereverse

kf [A] =  kr[B]

kf /  kr = [B] /[A]

kf /  kr = K

200 / Kr = 350

Kr = 200/350 =0.571

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