Time required to complete half of the reactant in a zero order reaction is equal to a/(2k).
The half life (t1/2) of a reaction is the time required for the concentration of the radioactive substance to decrease to one-half of its original value. The half-life of a zero-order reaction can be derived as follows:
For a reaction involving reactant a and from the definition of a half-life, t1/2 is the time it takes for half of the initial concentration of reactant a to react. These new conditions can be substituted into the integrated rate law form to obtain the following:
1/2[a]=−kt1/2+aSolving for t1/2gives the following:
t1/2=a/(2k)