JEE CHEMISTRY MCQ: CHEMICAL KINETICS

Rate of a reaction $\mathrm{A}+\mathrm{B} \longrightarrow \mathrm{C}$ is given below as a function of differential concentrations of $\mathrm{A}$ and $\mathrm{B}$.

$\begin{array}{cccccccccccccccccccc} {{\text{Exp}}{\text{.}}}&{\left[ {\text{A}} \right]}&{\left[ {\text{B}} \right]}&{{\text{Rate}}} \\ {}&{{\text{mol }}{{\text{L}}^{ - 1}}}&{{\text{mol }}{{\text{L}}^{ - 1}}}&{{\text{mol }}{{\text{L}}^{ - 1}}\,{\text{tim}}{{\text{e}}^{ - 1}}} \\ {1.}&{0.01}&{0.01}&{0.005} \\ {2.}&{0.02}&{0.01}&{0.010} \\ {3.}&{0.01}&{0.02}&{0.005} \end{array}$

Determine the order of reaction with respect to $\mathrm{A}$ and and also calculate the half-life of $\mathrm{A}$ in the reaction.