The rate of the reaction: 2N2O5 4NO2 + O2 can be written in three ways. -d[N2O5]dt = k [N2O5] d[NO2]dt = k' [N2O5]; d[O2]dt = k'' [N2O5] The relationship between k and k' and between k and k'' are
- k' = 2k; k'' = k
- k' = 2k; k'' = k/2
- k' = 2k; k'' = 2k
- k' = k; k'' = k
Answer
(2) k' = 2k; k'' = k/2
Solution
Rate = - 12 d[N2O5]dt = 14 d[NO2]dt = d[O2]dt
⇒ d[NO2]dt = 2 ( -d[N2O5]dt ) ⇒ k' = 2k
⇒ d[O2]dt = 12 ( -d[N2O5]dt ) ⇒ k'' = k2
Answer: (2)