For a reaction $A \to$ Products, a plot of $log\,t_{1/2}$ versus $log\,a_0$ is shown in the figure. If the initial concentration of $A$ is represented by $a_0,$ the order of the reaction is

For the reaction taking place on water, the order of reaction is

${{H}_{2}}+C{{l}_{2}}\xrightarrow{\text{Sunlight}}2HCl$

An elementary reaction between $A$ and $B$ is a second order reaction. Which of the following rate equations must be correct?

The rate of reaction between two reactants $A $ and $B$ decreases by a factor of $4$ if the concentration of reactant $B$ is doubled. The order of this reaction with respect to reactant $B$ is

The rate constant for the reaction, $2N_2O_5 \to 4NO_2 + O_2$ is $3.0\times 10^{- 4}\,s^{-1}$ . If start made with $1.0\,mol\,L^{-1}$ of $N_2O_5$, calculate the rate of formation of $NO_2$ at the moment of the reaction when concentration of $O_2$ is $0.1\, mol\, L^{-1}$.

For which type of reactions, order and molecularity have the same value ?