This step should involve the reaction between $\mathrm{NO}_{2}$ and $\mathrm{F}_{2}$, as the rate law suggests. This step could be represented as follows:
\[\mathrm{NO}_{2}(g) + \mathrm{F}_{2}(g) \rightarrow \mathrm{NO}_{2}F(g) + F(g)\]
This step is consistent
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