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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")`
`NO_(3) + NO overset(k_(1))rarr NO_(2) + NO_(2)` (slow)

Text Solution

Verified by Experts

Rate law, according to the slowest step is:
`r = k_(1)[NO_(3)][NO]` …(i)
First step in equilibrium.
`:. k_(eq) = ([NO_(3)])/([NO][O_(2)]`
`:. [NO_(3)] = k_(eq)[NO][O_(2)]`
substituting the value of `[NO_(3)]` in Eq. (i)
`r = k_(1)k_(eq)[NO][O_(2)][NO]`
`= k'[NO]^(2)[O_(2)]`
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