Answer:
We know that the chlorination of
methane proceeds by free radical mechanism in which methyl free radical \[(\overset{\centerdot
}{\mathop{C}}\,{{H}_{3}})\] is formed. Two such free radicals may combine to
give ethane which upon further chlorination gives chloroethane.
\[\overset{\centerdot }{\mathop{C}}\,{{H}_{3}}+\overset{\centerdot
}{\mathop{C}}\,{{H}_{3}}\xrightarrow{{}}\underset{\text{Ethane}}{\mathop{C{{H}_{3}}-C{{H}_{3}}}}\,\xrightarrow[(hv)]{C{{l}_{2}}}\]\[\underset{\text{Chloroethane}}{\mathop{C{{H}_{3}}-C{{H}_{2}}Cl}}\,+HCl\]
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