The half-life for a zero order reaction is

Step-by-step solution

For a zero order reaction, the integrated rate law is given by [A] = [A]₀ - kt , where [A]₀ is the initial concentration, [A] is the concentration at time t , and k is the rate constant. The half-life t_ 1/2 is defined as the time when the concentration of the reactant is half of its initial value, i.e., [A] = [A]₀ 2 . Substituting this into the rate equation: [A]₀ 2 = [A]₀ - kt_ 1/2 kt_ 1/2 = [A]₀ - [A]₀ 2 kt_ 1/2 = [A]₀ 2 t_ 1/2 = [A]₀ 2k From the expression t_ 1/2 = [A]₀ 2k , it is evident that the half-life is