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Mechanism of the reaction is: What ...

Mechanism of the reaction is:

What is (a) `(-d[A])/(dt)`, (b) `(d[A_(1)])/(dt)` , (c ) `(d[A_(n)])/(dt)`, (d) `(d[A_(1)])/(-d[A])` for same time?

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(a) `(-d[A])/(dt) = [k + 2k+3k+….nk] [A]`
`= [1+2+3+…..+n][k][A]`
`= (n(n+1))/(2)k[A]`
(b) `(d[A_(1)])/(dt) = k[A]`
( c) `(d[A_(n)])/(dt) = nk[A]`
(d) `(d[A])/(-d[A]) = (k[A])/((n(n+1))/(2)k[A]) = (2)/(n(n+1))`
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