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Conisder the reaction mechanism: A(2) ...

Conisder the reaction mechanism:
`A_(2) overset(k_(eq))hArr 2A ("fast")` (where `A` is the intermediate.)
`A+B underset(k_(1))rarr P (slow)`
The rate law for the reaction is

A

`k_(1)[A][B]`

B

`k_(1)k^(1//2)[A_(2)]^(1//2)[B]`

C

`k_(1)k^(1//2)[A][B]`

D

`k_(1)k^(1//2)[A]^(2)[B]`

Text Solution

Verified by Experts

The correct Answer is:
B
`A_(2) overset(k_(eq))hArr 2A ("fast")`
`rArr k_(eq) = [A]^(2)//[A_(2)] rArr [A] = sqrt(k_(eq)[A_(2)])`
`A+B overset(k_(1))rarrP (slow) rarr RDS`
`rArr Rate_(RDS) = k_(1)[A][B] = k_(1)sqrt(k_(eq)) sqrt([A_(2)]).[B]`
Note: Overall reaction is : `A_(2)+2B rarr 2P`
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