The rate law for a reaction between the substances $ A $ and $B$  is given by, rate $= k{[A]^n}{[B]^m}$. On doubling the concentration of $A$ and halving the concentration of $B$, the ratio of the new rate to the earlier rate of the reaction will be as

  • [AIEEE 2003]
  • A

    $\frac{1}{{{2^{(m + n)}}}}$

  • B

    $(m + n)$

  • C

    $(n - m)$

  • D

    ${2^{(n - m)}}$

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  • [AIEEE 2006]

For the decomposition of azoisopropane to hexane and nitrogen at $543$ $K ,$ the following data are obtained.

$t$ $(sec)$ $P(m m \text { of } H g)$
$0$ $35.0$
$360$ $54.0$
$720$ $63.0$

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