Consider the following data for the given reaction  $2 \mathrm{HI}_{(\mathrm{g})} \rightarrow \mathrm{H}_{2(\mathrm{~g})}+\mathrm{I}_{2(\mathrm{~g})}$ .  The order of the reaction is................

  $1$ $2$ $3$
$\mathrm{HI}\left(\mathrm{mol} \mathrm{L}^{-1}\right)$ $0.005$ $0.01$ $0.02$
Rate $\left(\mathrm{mol} \mathrm{L}^{-1} \mathrm{~s}-1\right)$ $7.5 \times 10^{-4}$ $3.0 \times 10^{-3}$ $1.2 \times 10^{-2}$

  • [JEE MAIN 2024]
  • A

    $1$

  • B

    $2$

  • C

    $3$

  • D

    $4$

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  • [AIIMS 1983]

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  • [AIEEE 2012]

For the non-stoichiometric reaction $2A + B \to C + D,$ the following kinetic data were  obtained in three separate experiments, all at $298\,K$.

Initial Conc.
 $(A)$
Initial Conc.
 $(B)$

Initial rate of
formation of $C\,(mol\, L^-S^-)$

$0.1\,M$ $0.1\,M$ $1.2 \times 10^{-3}$
$0.1\,M$ $0.2\,M$ $1.2 \times 10^{-3}$
$0.2\,M$ $0.1\,M$ $2.4 \times 10^{-3}$

For the reaction the rate of formation of $C$ will be