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A hypothetical reaction A(2) + B(2) rarr...

A hypothetical reaction `A_(2) + B_(2) rarr 2AB` follows the mechanism as given below:
`A_(2) hArr A+A ("fast")`
`A+B_(2) rarr AB+B` (slow)
`A+B rarr AB` (fast)
The order of the overall reaction is

A

2

B

1

C

`(3)/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
Rate of reaction `=K_(1)[A][B_(2)]" " …(i)`
`K_(2)=([A]^(2))/([A_(2)])" " …(ii)`
From Eq. (i) and (ii)
`R= K_(1) xx sqrt(K_(2)[A_(2)])[B_(2)] = K_(1) xx K_(2)^(1//2) [A_(2)]^(1//2) [B]=K[A_(2)]^(1//2)[B_(2)]`
`( :.K=K_(1)K_(2)^(1//2))`
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