1.

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 isA. `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]`

Answer» Correct Answer - 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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