Step 1: Concept
Friedel-Crafts Alkylation
Step 2: Meaning
The Friedel-Crafts alkylation is a type of electrophilic aromatic substitution reaction where an alkyl group is introduced into the benzene ring. This process requires a Lewis acid catalyst, such as $\text{AlCl}_3$, to activate the alkyl halide.
Step 3: Analysis
In this scenario, we have benzene reacting with methyl chloride ($\text{CH}_3\text{Cl}$) in the presence of anhydrous aluminum chloride ($\text{AlCl}_3$). This is a classic example of Friedel-Crafts alkylation. The $\text{AlCl}_3$ acts as a Lewis acid, facilitating the reaction by deactivating the chlorine atom on methyl chloride, making it more electrophilic and capable of attacking the benzene ring.
The other options can be ruled out:
Wurtz reaction involves the coupling of alkyl halides in the presence of sodium metal to form longer carbon chains.
Fittig reaction is an alkylation using phosphorus trichloride as a catalyst, not aluminum chloride.
Friedel-Crafts acylation introduces an acyl group into the benzene ring.
Step 4: Conclusion
The correct identification of this reaction type confirms that it fits the description and conditions provided in the question.
Final Answer: (A)