The reversible reaction A ?B , first order in both directions, has the following

Question

The reversible reaction A ?B , first order in both directions, has the following rate equation: ?? d[A]/dt = k1[A]? k2[B] Where, k1 and k2 represent the kinetic constants in the forward and backward direction respectively, and [A] and [B] represent the molar concentration of A and B. Assume you start with initial concentrations [A] (t = 0) = [A]0 and [B](t = 0) = [B]0. Mass conservation requires that [A](t) + [B](t) = [A]0 + [B]0. Obtain an expression for the concentration of A in equilibrium: [A]eq=[A](t??)

Explanation / Answer

at eq [A]=[B] [A0]-[Ae]=t*(k1[Ae]-k2[Ae]) [Ae]=[A0]/(t*(k1-k2+1))

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