Chemistry - Chemical Kinetics Question with Solution | TestHub

For a zero order reaction, the integrated rate equation is given by:

$[A]=[A{]}_0-kt$

At half-life, $t=t_{1/2}$ and $[A]=\frac{[A{]}_0}{2}$.

Substituting these values into the rate equation:

$\frac{[A{]}_0}{2}=[A{]}_0-k{t}_{1/2}$

$k{t}_{1/2}=\frac{[A{]}_0}{2}$

$t_{1/2}=\frac{[A{]}_0}{2k}$

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

Answer: initial concentration of reactant