The mechanism of the reaction $2NO_2 + F_2 \to 2NO_2F$ is given by:
$(i)$ $NO_2 \xrightarrow{slow} NO + O$
$(ii)$ $F_2 + O + NO \xrightarrow{fast} NO_2F + F$
$(iii)$ $F + NO_2 \xrightarrow{fast} NO_2F$
Select the correct statement.

  • A
    The reaction is of $3^{rd}$ order.
  • B
    The molecularity of the reaction is the sum of the molecularities of all steps.
  • C
    The reaction is zero order with respect to $F_2$.
  • D
    The half-life of the reaction depends upon the initial concentration of $NO_2$.

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$(i)$ $X + Y \rightleftharpoons M$ (very rapid equilibrium)
$(ii)$ $M + Z \to P$ (slow)
$(iii)$ $P + Y \to N$ (very fast)
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At what concentration of the reactant (in $M$) are the rate constants for first-order,second-order,and third-order reactions equal?

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