Half-life period of a first-order reaction is `1386` seconds. The specific rate constant of the reaction is

Options

A. `5.0 xx 10^(-2) s^(-1)`
B. `5.0 xx 10^(-3) s^(-1)`
C. `0.5 xx 10^(-2) s^(-1)`
D. `0.5 xx 10^(-3) s^(-1)`

Answer

D

Explanation

For first order:
`K = (0.693)/(t_(1//2)) = (0.693)/(13.86) = 5 xx 10^(-4) s^(-1)`