Question

Justify the statement that half-life of such a reaction is independent of the initial concentration of the reactant.

Answer 1

For first order reaction the rate law is

Rate = k[A]

The half-life t_1/2 of a first-order reaction is given by:

`t_(1//2) = 0.693/k`

This equation shows that the half-life does not depend on the initial concentration of the reactant. It remains constant throughout the reaction, no matter how much reactant is present at the start.