Step 1: Understanding the Question:
The question asks us to identify the specific structural isomer of butyl alcohol ($\text{C}_4\text{H}_{10}\text{O}$) that possesses the highest melting point.
Step 2: Detailed Explanation:
The melting point of organic structural isomers depends heavily on molecular symmetry and structural packing efficiency in the crystal lattice.
• tert-Butyl alcohol ($\text{(CH}_3)_3\text{COH}$) features a highly symmetrical, compact, and spherical pseudo-globular structure.
• Because of this exceptional spherical symmetry, the molecules pack much more tightly and neatly into a rigid crystal lattice compared to its linear or less symmetrical branched isomers (n-butyl, isobutyl, and sec-butyl alcohols).
• A more compact and well-packed crystal lattice requires significantly more thermal energy to break apart, leading to an exceptionally high melting point (around $25^\circ\text{C}$ to $26^\circ\text{C}$, making it a solid or near-solid at room temperature), whereas the other open isomers melt well below $ -50^\circ\text{C}$.
Step 3: Final Answer:
The compound with the highest melting point is tert-Butyl alcohol, which corresponds to option (A).