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Half life of a first order reaction and ...

Half life of a first order reaction and a zero order reaction are same. Then the ratio of the initial rate of the first order reaction to that of zero order reaction is

A

`1//0.693`

B

`2xx0.693`

C

`2//0.693`

D

`6.93`

Text Solution

Verified by Experts

The correct Answer is:
B
`r_(0)=k_(0)[A]^(0)=(r_(1))/(r_(0))=(k_(1))/(k_(0))`
`r_(1)=k_(1)[A]^(1)`
For zero order `(t_(1//2))_(0)=([A])/(2k_(0))`
For `1^(st)` order `(t_(1//2))_(1)=(0.693)/(k_(1))`
`rArr(t_(1//2))_(0)(t_(1//2))_(1)`
`([A]_(0))/(2k_(0))=(0.693)/(k_(1))`
`(k_(1))/(k_(0))=(2(0.693))/(A)_(0)=(1.386)/(1)`
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