The rate of 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

Options

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

Answer

C

Explanation

`r=k [A]`
`K=(r )/([A]) = ( 15 xx 10^(-2) mol L^(-1) min""^(-1) )/( 0.5 mol L^(-1)) = 3 xx 10^(-2) min""^(-1) , t_(1//2) =( 0.693 )/(k ) =( 0.693)/( 3 xx 10^(-2)) min = 23.1 min`