The following data are for the decomposition of ammonium nitrate in aqueous solution Volume of ....... The order of the reaction is

${N_2}$ in $cc$ $6.25$ $9.50$ $11.42$ $13.65$ $35.05$
 Time (minutes) $10$ $15$ $20$ $25$ Finally

  • A

    $0$

  • B

    $1$

  • C

    $2$

  • D

    $3$

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  • [AIEEE 2012]

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  • [AIEEE 2002]

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  • [AIIMS 2016]

The hypothetical reaction : $2A + B \to C + D$ is catalyzed by $E$ as indicated in the possible mechanism below -

Step$-1$ : ${\text{A  +  E }} \rightleftharpoons AE$ (fast)

Step$-2$ :${\text{AE  +  A }} \to {A_2} + E$ (slow)

Step$-3$ :${{\text{A}}_2}{\text{ +  B }} \to {\text{D}}$ (fast)

what rate law best agrees with this mechanism