Concept:
This is a multistep organic reaction sequence involving oxidation, acyl chloride formation, Friedel–Crafts acylation, and Clemmensen reduction.
Step 1: Oxidative cleavage of 2-butene.
Hot acidic $\text{KMnO}_4$ cleaves the double bond of 2-butene to form carboxylic acids:
\[
\text{CH}_3-\text{CH}=\text{CH}-\text{CH}_3 \rightarrow 2\,\text{CH}_3\text{COOH}
\]
Thus, $X$ is ethanoic acid.
Step 2: Formation of acyl chloride.
Ethanoic acid reacts with $\text{SOCl}_2$ to form acetyl chloride:
\[
\text{CH}_3\text{COOH} \rightarrow \text{CH}_3\text{COCl}
\]
Thus, $Y$ is acetyl chloride.
Step 3: Friedel–Crafts acylation.
Acetyl chloride reacts with benzene in presence of anhydrous $\text{AlCl}_3$ to form acetophenone:
\[
\text{C}_6\text{H}_6 \rightarrow \text{C}_6\text{H}_5\text{COCH}_3
\]
Step 4: Clemmensen reduction.
Acetophenone is reduced using $\text{Zn-Hg}/\text{HCl}$ to ethylbenzene:
\[
\text{C}_6\text{H}_5\text{COCH}_3 \rightarrow \text{C}_6\text{H}_5\text{CH}_2\text{CH}_3
\]
Conclusion:
The final product $Z$ is ethylbenzene, which is an alkyl-substituted benzene ring. Hence, it is classified as an arene.