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Half-lives of a first order and a zero o...

Half-lives of a first order and a zero order reactions are same. Then, the ratio of the initial rates of first order reactions to that of the zero order reactions is

A

`(1)/(0.693)`

B

`2 xx 0.693`

C

0.693

D

`(2)/(0.693)`

Text Solution

Verified by Experts

The correct Answer is:
B
`t_(1//2)` for zero order reaction `= ([A]_(0))/(2k)`
`t_(1//2)` for first order reaction `= (0.693)/(k.)`
Rate of zero order reaction
`r_(0) = k = ([A]_(0))/(2.t_(1//2))`
Rate of first order reaction,
`r_(1) = k(A_(0)) = (0.693)/(t_(1//2))[A]_(0)`
`rArr (r_(1))/(r_(0)) = (0.693 [A]_(0))/(t_(1//2)) xx (2 xx t_(1//2))/([A]_(0))`
`= 2 xx 0.693`
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