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For the first order reaction Ararr2B , r...

For the first order reaction `Ararr2B` , rate can be expressed any one of the following rate equations.
`(1)-(d[A])/(dt)=k_(1) [A] (2) (d[B])/(dt)=k_(2) [A]`
Find the relation between `k_(1) and k_(2)`.

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Verified by Experts

For the given reaction, rate `-(d[A])/(dt)= (1)/(2)(d[B])/(dt)`
or, `2xx(-)(d[A])/(dt)= (d[B])/(dt)`
or, `2xxk_(1)[A]=k_(2)[A] thereforek_(2)=2k_(1)`
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