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Question 19.3: Consider the following reaction of methane with molecular ch...

Consider the following reaction of methane with molecular chlorine:

CH_{4}\left( g \right)+Cl_{2}\left( g \right)\to CH_{3}Cl\left( g \right)+HCl\left( g \right)

Experimental studies have shown that the rate law for this reaction is one-half order with respect to Cl_{2}. Is the following mechanism consistent with this behavior?

Cl_{2} \overset{k_{1}}\longrightarrow 2 Cl\cdot


Cl\cdot +CH_{4}\overset{k_{2}}\longrightarrow HCl+CH_{3}\cdot


CH_{3}\cdot+Cl_{2} \overset{k_{3}}\longrightarrow CH_{3}Cl+Cl\cdot


Cl\cdot +Cl\cdot \overset{k_{4}}\longrightarrow Cl_{2}


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