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The rate of a first order reaction is 1....

The rate of a first order reaction is `1.5 xx 10^(-2) mol L^(-1) "min"^(-1)` at 0.5 M concentration of the reactant . The half life of the reaction is

A

`8.73M`

B

`7.53min`

C

`0.383min`

D

`23.1min`

Text Solution

Verified by Experts

The correct Answer is:
D
Rate `((dx)/(dt))=k.c`, `1.5xx10^(-2)=kxx0.5`
For first order `k=(1.5xx10^(-2))/(0.5)=3xx10^(-2)min^(-1)`.
`t_(1//2)=(0.693)/(k)=(0.693)/(3xx10^(-2))=23.1min`.
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