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In the following reaction: 2NO(g)+O(2)...

In the following reaction:
`2NO(g)+O_(2)(g) overset(k')rarr2NO_(2)(g)`
What is the predicted rate law, if the mechanism is
`NO+O_(2)(g) overset(k_(eq))hArr NO_(3) ("fast")` (fast)
`NO_(3) + NO overset(k_(1))rarr NO_(2) + NO_(2)` (slow)

Text Solution

Verified by Experts

The rate law is given by the slow step.
`therefore` Rate = `k_(1)[NO_(3)][NO]`
The equilibrium constant (k) as predicted by the fast step is:
`K=([NO_(3)])/([NO][O_(2)]` (Here `k^(')=k_(1)K^('))`
Order of reaction `= 2+1=3`
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