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Question

The chemical reaction, 2O33O2 proceeds as follows:
O3O2+O ....(fast)
O+O32O2 ....(slow)

The rate law expression should 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 B r=K[O3]2[O2]1
O3O2+O....(fast)

O+O32O2 ....(slow)

The rate of reaction depends on slowest step.
So rate would be: r=k[O][O3]

From the fast step, we have
K=[O][O2][O3]

So,
r=k×K[O3]2[O2]1=K[O3]2[O2]1

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