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Q9.1:
How do you account for the formation of ethane during chlorination of methane ?

Solution :

Step 1: Theoretical Framework of Free Radical Substitution

The chlorination of methane ($CH_4$) follows a free-radical chain reaction mechanism consisting of three distinct phases: Initiation, Propagation, and Termination. [Per the mechanism of free-radical halogenation].

The reaction proceeds via the following steps:

  • Initiation: Homolytic cleavage of $Cl_2$ by UV light or heat: $Cl_2 \xrightarrow{h\nu} 2Cl^\bullet$
  • Propagation 1: $CH_4 + Cl^\bullet \rightarrow {}^\bullet CH_3 + HCl$
  • Propagation 2: ${}^\bullet CH_3 + Cl_2 \rightarrow CH_3Cl + Cl^\bullet$

Step 2: The Origin of Ethane (Termination Step)

Ethane ($C_2H_6$) is formed as a byproduct due to the collision of two methyl radicals (${}^\bullet CH_3$) during the Termination phase of the reaction mechanism. While the primary objective of the propagation phase is the formation of chloromethane ($CH_3Cl$), the radical concentration allows for side reactions. [By the Principle of Radical Coupling].

Step 3: Quantitative Reaction Mechanism

The termination step involves the bimolecular recombination of two carbon-centered radicals to form a new carbon-carbon covalent bond:

${}^\bullet CH_3 + {}^\bullet CH_3 \rightarrow CH_3-CH_3$

Visual Representation of Radical Coupling

CH₃• + •CH₃ CH₃—CH₃ (Ethane)

Step 4: Analytical Summary

Process Chemical Event Outcome
Propagation ${}^\bullet CH_3 + Cl_2$ $CH_3Cl$ (Major Product)
Termination ${}^\bullet CH_3 + {}^\bullet CH_3$ $C_2H_6$ (Byproduct)

The formation of ethane occurs because free radical reactions are non-selective regarding termination partners. When two methyl radicals encounter one another in the reaction medium, their unpaired electrons pair up to form a stable $C-C$ sigma bond, effectively acting as a "side-path" to the desired halogenation sequence. [Per Kinetic Theory of Gases and Radical Stability].

Final Solution: The formation of ethane is accounted for by the termination step of the free-radical mechanism, wherein two methyl radicals (${}^\bullet CH_3$) collide and combine to form a covalent carbon-carbon bond, resulting in the higher alkane, ethane ($CH_3CH_3$).


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