The following mechanism has been proposed for the decomposition of ozone in the atmosphere: O 3 → O 2 + O k a O 2 + O → O 3 k a ′ O + O 3 → O 2 + O 2 k b Show that if the third step is rate limiting,...

The following mechanism has been proposed for the decomposition of ozone in the atmosphere:
O₃
→ O₂
+ O    k_a

O₂
+ O → O₃    k_a′
O + O₃
→ O₂
+ O₂      k_b

Show that if the third step is rate limiting, then the rate law for the decomposition of O₃
is second-order in O₃
and of order −1 in O₂.