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

Options

A. 0.383 min
B. 23.1 min
C. 8.73 min
D. 7.53 min

Answer

B

Explanation

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