what is the proper name for (CH3)2CHCH(OH)CH3?

Not exactly sure what you mean by 'proper name'.

This is a hexane (longest C chain)

There is an OH at C-3 and a methyl group at C-1, counting from the left as drawn above. [counting from the right gives a higher number].

Hence it is

1-methyl-3-hexanol, or
1-methyl-hexan-3-ol

The absolute configuration of C-3 is not stated, so

(+/-)-1-methyl-3-hexanol.

My question above 'Not exactly sure what you mean by 'proper name'?' is because there is more than one system for naming compounds.

The proper name for the compound (CH3)2CHCH(OH)CH3 is 2-methyl-2-propanol.

To derive the proper name, we follow the rules of IUPAC nomenclature for organic compounds. Here's how you can arrive at the name step by step:

1. Identify the longest continuous carbon chain: In this case, we have a 4-carbon chain (CH3)2CHCH(OH)CH3.

2. Number the carbon atoms in the chain: Start numbering from one end of the chain that gives the substituents the lowest possible numbers. Our chain can be numbered from either end, so we start numbering from the end closest to the substituent (OH) group.

CH3 CH(CH3)CH(OH)CH3
1 2 3 4

3. Name the substituents: In this compound, we have one methyl group attached to the second carbon, indicated as 2-methyl. Also, we have an alcohol group OH attached to the third carbon.

4. Name the main chain: Based on the numbering above, the main chain consists of three carbon atoms. We use the root word 'propan' to indicate a three-carbon chain.

5. Combine the names: Finally, we put all the parts together to get the full name: 2-methyl-2-propanol.

So, the proper name for (CH3)2CHCH(OH)CH3 is 2-methyl-2-propanol.

The proper name for (CH3)2CHCH(OH)CH3 is 2-methyl-2-propanol.