How many structural isomers of all the tertiary alcohols with molecular formular formula `C_(6)H_(14)O`.

Options

A. 2
B. 3
C. 4
D. 5

Explanation

To find the number of structural isomers of tertiary alcohols with the molecular formula \(C_6H_{14}O\), we need to follow these steps:

### Step 1: Understand the definition of tertiary alcohols
A tertiary alcohol is one in which the hydroxyl group (-OH) is attached to a carbon atom that is connected to three other carbon atoms. This means the carbon with the -OH group must be a central carbon atom in a branched structure.

**Hint:** Remember that for a tertiary alcohol, the carbon bonded to the -OH must have three other carbon substituents.

### Step 2: Determine the carbon skeletons
We will start by determining the possible carbon skeletons that can accommodate the -OH group while ensuring that the carbon with the -OH is tertiary.

1. **First Structure:**
- Structure: \(CH_3-C(OH)(CH_3)-CH_2-CH_3\)
- This structure has the -OH group on a carbon that is bonded to three other carbons (two methyl groups and one ethyl group).

2. **Second Structure:**
- Structure: \(CH_3-C(OH)(CH_3)-CH(CH_3)-CH_3\)
- In this structure, the -OH group is again on a tertiary carbon, with three other carbons (two methyl groups and one ethyl group).

3. **Third Structure:**
- Structure: \(CH_3-CH_2-C(OH)(CH_3)-CH_2-CH_3\)
- Here, the -OH is on a carbon that is attached to three other carbons (two ethyl groups and one methyl group).

### Step 3: Count the structural isomers
From the structures identified, we can see that there are three distinct structural isomers of tertiary alcohols with the molecular formula \(C_6H_{14}O\).

### Final Answer
Thus, the total number of structural isomers of all the tertiary alcohols with the molecular formula \(C_6H_{14}O\) is **3**.

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