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The reaction , X + 2Y + Z rarr N occurs ...

The reaction , `X + 2Y + Z rarr N` occurs by the following mechanism
(i) `X+Y hArr M` (very rapid equilibrium)
(ii) `M + Z rarr O` (slow)
(iii) `O + Y rarr N` (very fast)
What is the rate law for this reaction

A

`R=k[Z]`

B

`R=k[X][Y^(2)][Z]`

C

`R=k[N]`

D

`R=k[X][Y][Z]`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate determining step is (ii)
so `r=k_(2) [M][Z]`
from (1) `(k_(f))/(k_(b))=([M])/([X][Y])`
`[M]=(k_(f))/(k_(b))[X][Y]`
`r=K'[X][Y][Z]`
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