For the non-stoichiometric 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 $(B)$ 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:

  • A
    $\frac{d[C]}{dt} = k[A][B]$
  • B
    $\frac{d[C]}{dt} = k[A]^{2}[B]$
  • C
    $\frac{d[C]}{dt} = k[A][B]^{2}$
  • D
    $\frac{d[C]}{dt} = k[A]$

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