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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 correct Answer is:
Rate `=k[NO]^(2)[O_(2)]`
From the slow step, Rate `=k_(1)[NO_(3)][NO]" "…(i)`
From fast step, eqm. Const. `k=([NO_(3)])/([NO][O_(2)])" "…(ii)`
Substituting the value of `[NO_(3)]" from (ii) in (i), we get: Rate"=k'[NO]^(2)[O_(2)]`
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