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For an acid catalysed reaction Aoverset(...

For an acid catalysed reaction `Aoverset(H^(+))(to)B` half life period is independent of concentration of A at given pH. At same concentrationn of A half tiem is 10 min at `p^(H)=2` and half life time is 100 min at `P^(H)=3`. If the rate law expression of reaction is `r=K[A]^(x)[H^(+)]^(y)` then calculate (x+y)

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The correct Answer is:
3
`t1/2to` not depends on conc of A so order (x) w.r.t A=1
`[((t1/2)_(1))/((t1/2)_(2))]=[((H^(o+))_(2))/((H^(o+))_(1))]^((n-1)),(10/100)=((10^(-3))/(10^(-2)))^((n-1)),(1/10)=(1/10)^((n-1))`
`(10^(1)=(10)^((n-1)),1=n-1,n=2,r=K[A]^(1)[H^(o+)]^(2)`
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