Concept:
Friedel–Crafts alkylation is an electrophilic aromatic substitution reaction in which an alkyl group is introduced into an aromatic ring.
The reaction generally uses:
• An alkyl halide (\(R-X\))
• A Lewis acid catalyst
The most commonly used Lewis acid catalyst is \( \text{AlCl}_3 \).
Step 1: Role of the Lewis acid catalyst.
The Lewis acid catalyst \( \text{AlCl}_3 \) helps generate the electrophile from the alkyl halide.
Example:
\[
R-Cl + AlCl_3 \rightarrow R^+ + AlCl_4^-
\]
The carbocation \(R^+\) then attacks the aromatic ring.
Step 2: Examine the options.
• \( \text{AlCl}_3 \): Lewis acid catalyst used in Friedel–Crafts alkylation.
• \( \text{FeCl}_3 \): Commonly used in halogenation of benzene.
• \( \text{RCOCl} \): Used in Friedel–Crafts acylation, not alkylation.
• \( \text{H}_2\text{SO}_4 \): Used in nitration and sulfonation reactions.
Step 3: Identify the correct reagent.
Thus, the reagent used in Friedel–Crafts alkylation is
\[
\boxed{\text{AlCl}_3}
\]