The rate of the reaction :

$2N_2O_5 \rightarrow 4NO_2 + O_2$ can be written in three ways.

$\frac{-d[N_2O_5 ]}{dt} = k[N_2O_5]$

$\frac{d[NO_2 ]}{dt} = k'[N_2O_5]\,;$   $\frac{d[O_2 ]}{dt} = k"[N_2O_5]$

The relationship between $k$ and $k'$ and betweenk and $k''$ are

  • [AIPMT 2011]
  • A

    $k' = 2k$ ;  $k'' = k$

  • B

    $k' = 2k$ ;  $k'' = k/2$

  • C

    $k' = 2k$ ;  $k'' = 2k$

  • D

    $k' = k$ ;  $k'' = k$

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