Step 1: Analyzing the Reaction Sequence.
In the given sequence, the reaction starts with butan-2-ol.
- In the first step, when butan-2-ol reacts with phosphorus trichloride (PCl\(_3\)), it undergoes chlorination to form 2-chlorobutane (X).
- In the second step, when 2-chlorobutane reacts with alcoholic potassium hydroxide (alc. KOH), it undergoes elimination to form But-2-ene (Y).
- In the final step, when But-2-ene is treated with sulfuric acid (H\(_2\)SO\(_4\)) and then heated, it undergoes dehydration to form But-2-ene (Z). Hence, Z is But-2-ene.
Step 2: Analyzing the options.
(A) Butan-1-ol: Incorrect. Butan-1-ol is not formed in this reaction sequence.
(B) 2-chlorobutane: Incorrect. 2-chlorobutane is formed in the first step of the reaction but is not the final product.
(C) Butan-2-ol: Incorrect. Butan-2-ol is the starting material, not the final product.
(D) But-2-ene: Correct. But-2-ene is the final product after the elimination and dehydration steps.
Step 3: Conclusion.
The correct answer is But-2-ene, corresponding to option (D).