To name this compound using IUPAC nomenclature, first expand the condensed structural formula (CH\(_3\))\(_2\)CHCH(OH)CH\(_2\)C(CH\(_3\))\(_3\):
\[\text{CH}_3-\underset{|}{\overset{\text{CH}_3}{\text{CH}}}-\underset{|}{\overset{\text{OH}}{\text{CH}}}-\text{CH}_2-\underset{|}{\overset{\text{CH}_3}{\underset{|}{\overset{}{\text{C}}}}}(\text{CH}_3)_2\]
Step 1: Find the longest carbon chain containing the OH group.
Tracing through the backbone: CH\(_3\)-CH-CH(OH)-CH\(_2\)-C-CH\(_3\) gives 6 carbons, so the parent chain is hexane.
Step 2: Number to give the OH group the lowest locant.
Numbering from the end nearest the OH group:
- C1: CH\(_3\) (end near the isopropyl group)
- C2: CH (bearing one CH\(_3\) branch)
- C3: CH-OH
- C4: CH\(_2\)
- C5: C (bearing two CH\(_3\) branches)
- C6: CH\(_3\)
OH is on carbon 3. Numbering from the other end would place OH on carbon 4, which is higher, so this direction is correct.
Step 3: Identify substituents.
- Carbon 2: one methyl group
- Carbon 5: two methyl groups
There are three methyl substituents at positions 2, 5, and 5.
Step 4: Construct the name.
The IUPAC name is 2,5,5-trimethylhexan-3-ol.