For the reaction

$2H_2 + 2NO \to N_2 + 2H_2O$

the following mechanism has been proposed

$(i)$  $2NO \rightleftharpoons N_2O_2\,$   (fast)

$(ii)$ $N_2O_2 + H_2 \xrightarrow{{{k_2}}} N_2O + H_2O\,$    (slow)

$(iii)$  $N_2O + H_2 \to N_2 + H_2O\,$   (fast)

then what will be the rate law of this reaction ?

  • A

    $k[NO]\,{[{H_2}]^2}$

  • B

    $k[NO]\,[{H_2}]$

  • C

    $k{[NO]^0}\,{[{H_2}]^3}$

  • D

    $k{[NO]^2}\,[{H_2}]$

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  • [JEE MAIN 2015]

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