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(A) The reaction shown is a free radical halogenation of an alkane (cyclohexane).The reactivity order of halogens towards free radical substitution is

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$F_2$

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(A) The reaction shown is a free radical halogenation of an alkane (cyclohexane).The reactivity order of halogens towards free radical substitution is $F_2 > Cl_2 > Br_2 > I_2$.Fluorine $(F_2)$ is the most reactive halogen due to its high electronegativity and the low bond dissociation energy of the $F-F$ bond,making the reaction with $F_2$ extremely fast and often explosive.Therefore,the fastest rate of reaction is observed with $F_2$.

For the fastest rate of reaction in the given free radical halogenation of cyclohexane,$X_2$ must be:

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