Question

Obtain an expression for half-life period of zero order reaction.

Answer 1

The rate law expression for zero order reaction is, 

[A]t = – kt + [A]₀ 

Where [A]₀ and [A]_t are the concentrations of the reactant at time, t = 0 and after time t respectively, 

Half-life period, 

t_1/2 is the time when the concentration reduces from [A]₀ to [A]₀/2. 

i.e., at t = t_1/2, [A]_t = [A]₀/2.

Hence for a zero-order reaction, the half-life period is directly proportional to the initial concentration of the reactant.