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Question

For the chemical reaction, 2O33O2 proceed as follows
O3O2+O.....(fast)
O+O22O2.....(slow)
The rate law expression will be:

A
r=k[O3]2
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B
r=k[O3]2[O2]1
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C
r=k[O3][O2]
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D
Unpredictable
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Solution

The correct option is A r=k[O3]2[O2]1
As slowest step is the rate determining step.
Hence, from slow reaction, r=K[O][O3].....(i)
From fast reaction, KC=[O2][O][O3]
[O]=KC.[O3][O2], i.e.
r=KC[O3][O2].[O3]
KC.[O3]2[O2]1
Rate(r)=K[O3]2[O2]1(K=KCK).

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