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]
  • A

    $\frac{{dc}}{{dt}} = k[A][B]$

  • B

    $\frac{{dc}}{{dt}} = k[A]^2[B]$

  • C

    $\frac{{dc}}{{dt}} = k[A][B]^2$

  • D

    $\frac{{dc}}{{dt}} = k[A]$

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  • [AIIMS 2011]

The given data are for the reaction :

$2NO(g) + Cl_2(g) \to 2NOCl(g)$ at $298\, K$

$[Cl_2]$                $[NO]$                       Rate $(mol\, L^{-1} \sec^{-1})$

$I$    $0.05\, M$       $0.05\,M$                           $1 \times 10^{-3}$

$II$   $0.15\, M$      $0.05\,M$                           $3 \times 10^{-3}$

$III$  $0.05\, M$      $0.15\,M$                           $9 \times 10^{-3}$

The rate law for the reaction is

Consider the kinetic data given in the following table for the reaction $A + B + C \rightarrow$ Product.

Experiment No. $\begin{array}{c}{[ A ]} \\ \left( mol dm ^{-3}\right)\end{array}$ $\begin{array}{c}{[ B ]} \\ \left( mol dm ^{-3}\right)\end{array}$ $\begin{array}{c}{[ C]} \\ \left( mol dm ^{-3}\right)\end{array}$ Rate of reaction $\left( mol dm ^{-3} s ^{-1}\right)$
$1$ $0.2$ $0.1$ $0.1$ $6.0 \times 10^{-5}$
$2$ $0.2$ $0.2$ $0.1$ $6.0 \times 10^{-5}$
$3$ $0.2$ $0.1$ $0.2$ $1.2 \times 10^{-4}$
$4$ $0.3$ $0.1$ $0.1$ $9.0 \times 10^{-5}$

The rate of the reaction for $[ A ]=0.15 mol dm ^{-3},[ B ]=0.25 mol dm ^{-3}$ and $[ C ]=0.15 mol dm ^{-3}$ is found to be $Y \times 10^{-5} mol dm d ^{-3} s ^{-1}$. The value of $Y$ i. . . . . . .

  • [IIT 2019]