Two isomers (A and B) of a given compound dimerize as follows:
2A⟶A22B⟶B2
Both processes are known to be second order in the reactant, and k1 is known to be 0.250 L mol−1 s−1 at 25∘C. In a particular experiment A, and B were placed in separate containers at 25∘C, where [A]0=1.00×10−2 M and [B]0=2.50×10−2 M. After each reaction had progressed for 3.00 min, [A] = 3.00[B]. In this case the rate laws are defined as follows:
Rate=−dtd[A]=k1[A]2Rate=−dtd[B]=k2[B]2
Calculate the value of k2.