The equilibrium constant of any reversible reaction system is the ratio of forward and reverse rate constants:
Kc = kf/kr
Adding a catalyst speeds up the forward and reverse reactions equally, so it has no effect on the equilibrium constant:
Kc = 7.45×106
kf = 2.93×107 s−1
kr = kf/Kc
kr = 2.93×107 / 7.45×106 = 3.93 s−1
Answer: 3.93 s−1
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