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The mechanism of the reaction 2NO + O(...

The mechanism of the reaction
`2NO + O_(2) rarr 2NO_(2)` is
`NO + NO underset(k_(-1))overset(k_(1))hArr N_(2)O_(2) ("fast")`
`N_(2)O_(2) + O_(2) overset(k_(2))rarr 2NO_(2) (slow)`
The rate constant of the reaction is

A

`k_(2)`

B

`k_(2)k_(1)(k_(-1))`

C

`k_(2)k_(1)`

D

`k_(2)((k_(1))/(k_(-1)))`

Text Solution

Verified by Experts

The correct Answer is:
D
Slow step is the rate determining step (RDS) and (`N_(2)O_(2)`) is the reactive intermediate.
`:. r=k_(2)[N_(2)O_(2)][O_(2)]`
From reversible reaction, [`N_(2)O_(2)`] is:
`(k_(1))/(k_(-1))=([N_(2)O_(2)])/([NO]^(2))`
Substitute [`N_(2)O_(2)`] in Eq. (i),
`r=k_(2)((k_(1))/(k_(-1)))[NO]^(2)[O_(2)]`
Hence, rate constant `=k_(2)((k_(1))/(k_(-1)))`
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