For a first order reaction A`rarr`B, the reaction rate at reactant concentration of 0.01 M is found to be `2.0 xx 10^(-5)"mol "L^(-1)s^(-1)`The half-life period of the reaction is

Options

A. 220 seconds
B. 30 seconds
C. 300 seconds
D. 347 seconds

Answer

D

Explanation

Rate=k[concentraion`]^n`
`k=(2.0xx10^(-5))/(0.01)=2xx10^(-3)s^(-1),t_(1//2)=(0.693)/(k)=(0.693)/(2xx10^(-3))`=347 s