Match the rate expressions in $LIST-I$ for the decomposition of $X$ with the corresponding profiles provided in $LIST-II$. $X _5$ and $k$ constants having appropriate units.

224316-q

  • [IIT 2022]
  • A

    $I$ $\rightarrow P ;$ II $\rightarrow Q ; III \rightarrow S ; IV \rightarrow T$

  • B

    $I$ $\rightarrow R; II \rightarrow S; III \rightarrow S; IV \rightarrow T$

  • C

    $I$ $\rightarrow P; II \rightarrow Q; III \rightarrow Q ; IV \rightarrow R$

  • D

    $I$ $\rightarrow R ; II \rightarrow S ; III \rightarrow Q ; IV \rightarrow R$

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For the elementary reaction $M \rightarrow N$, the rate of disappearance of $M$ increases by a factor of $8$ upon doubling the concentration of $M$. The order of the reaction with respect to $M$ is :

  • [IIT 2014]

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

Initial Concentration

$(A)$

Initial Concentration

$(A)$

Initial rate of formation of $C$

$(mol\,L^{-1}\,s^{-1})$

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

The rate law for the formation of $C$ is :

  • [JEE MAIN 2014]

For $n^{th}$ order reaction where $(n < 1)$

Which of the following is correct ?