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

Options

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

Answer

D

Explanation

`r=k [A]`
` k=(r )/([A]) =( 2.0 xx 10^(-5) mol L^(-1) s^(-1) )/(0.01 Mol L^(-1) )= 2 xx 10^(-3) s^(-1) , t_(1//2) = ( 0.693 )/(k) = ( 0.693 )/( 2 xx 10^(-3) sec^(-1)) = 346.5 s`