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

  • A

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

  • B

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

  • C

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

  • D

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

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$0.1$ $0.2$ $1 \times {10^{ - 2}}\,M{s^{ - 1}}$
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Order of reaction w.r.t. $A_2$ and $B$ are respectively