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The rate of first-order reaction is 1.5 ...

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

A

0.383 min

B

23.1 min

C

8.73 min

D

7.53 min

Text Solution

Verified by Experts

The correct Answer is:
B
For first order kinetics `t_(1//2) =(0.693)/(k)`
According to rate law r `=k [A] rArr 1.5xx10^(-2) =kxx0.5 rArr k=3xx10^(-2)" m in"^(-1)`
Hence `t_(1//2) =(0.693)/(3xx10^(-2))` m in =23.1 m in
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