Chemistry - Chemical Kinetics Question with Solution | TestHub

For zero order reaction, if concentration of reactant is $\left[{\mathrm{C}}_0\right]$ at time t and $\frac{\left[{\mathrm{C}}_0\right]}{2}$ at time ${\mathrm{t}}_2$, then $\begin{array}{rl}& \mathrm{k}=\frac{\left[{\mathrm{C}}_0\right]-\left[\frac{{\mathrm{C}}_0}{2}\right]}{{\mathrm{t}}_2-{\mathrm{t}}_1}=\frac{\left[{\mathrm{C}}_0\right]-\left[\frac{{\mathrm{C}}_0}{2}\right]}{{\mathrm{t}}_{1/2}}\\ \therefore & {\mathrm{t}}_{1/2}=\frac{\left[{\mathrm{C}}_0\right]}{2\mathrm{k}}\end{array}$ Thus, ${\mathrm{t}}_{1/2}$ for zero order reaction is directly proportional to the initial concentration of the reactant.