For an elementary chemical reaction, the Arrhenius plot is given below.
If the energy of activation is $6.64 \mathrm{~kJ} \mathrm{~mol}^{-1}$ and $\mathrm{R}=8.3 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$, the temperature at which the rate constant becomes $\mathrm{e}^2 \mathrm{~min}^{-1}$, is
$2 A \xrightarrow{k} B$ is a zero-order reaction, where $k=1.0 \mathrm{~mol} \mathrm{~L}^{-1} \mathrm{~min}^{-1}$. If the initial concentration of $A$ is 2 M , then the time taken to complete $75 \%$ of the reaction will be
$$ \text { Match List I with List II : } $$
| List-I (Order of reaction) |
List-II (Unit of rate constant) |
||
|---|---|---|---|
| A. | Zero order | I. | $\mathrm{mol}^{-1} \mathrm{~L} \mathrm{~s}^{-1}$ |
| B. | First order | II. | $\mathrm{mol}^{-2} \mathrm{~L}^2 \mathrm{~s}^{-1}$ |
| C. | Second order | III. | $\mathrm{s}^{-1}$ |
| D. | Third order | IV. | $\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}^{-1}$ |
For a certain reaction $R \rightarrow$ Product, the plot of concentration $[R]$ vs time has a negative slope as shown. The order of reaction is :

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