The number of `1^(@), 2^(@)`, and `3^(@) H` atoms in 2,5,6-trimethy1 octane, respectively,is

Options

A. 16,5,3
B. 15,5,3
C. 16,6,3
D. 15,5,2

Explanation

To determine the number of primary, secondary, and tertiary hydrogen atoms in 2,5,6-trimethyl octane, we will follow these steps:

### Step 1: Understand the Structure of 2,5,6-trimethyl octane
- Octane has a straight-chain structure with 8 carbon atoms (C8).
- The "trimethyl" indicates that there are three methyl (−CH3) groups attached to the main chain at the 2nd, 5th, and 6th carbon positions.

### Step 2: Draw the Structure
- The structure can be represented as follows:
```
CH3
|
CH3-CH-CH-CH-CH-CH3
| |
CH3 CH3
```
- In this structure, the main chain is octane, and the methyl groups are attached to the specified carbon atoms.

### Step 3: Identify Primary, Secondary, and Tertiary Carbons
- **Primary Carbons**: Carbons attached to only one other carbon.
- **Secondary Carbons**: Carbons attached to two other carbons.
- **Tertiary Carbons**: Carbons attached to three other carbons.

### Step 4: Count the Carbons
- Identify the carbons in the structure:
- Primary Carbons: 5 (the terminal CH3 groups and the CH2 groups at the ends)
- Secondary Carbons: 3 (the carbons in the middle that are connected to two other carbons)
- Tertiary Carbons: 3 (the carbons that are connected to three other carbons)

### Step 5: Count the Hydrogen Atoms
- **Primary Hydrogens**: Each primary carbon has 3 hydrogen atoms. Therefore, for 5 primary carbons:
- Total Primary Hydrogens = 5 * 3 = 15
- **Secondary Hydrogens**: Each secondary carbon has 2 hydrogen atoms. Therefore, for 3 secondary carbons:
- Total Secondary Hydrogens = 3 * 2 = 6
- **Tertiary Hydrogens**: Each tertiary carbon has 1 hydrogen atom. Therefore, for 3 tertiary carbons:
- Total Tertiary Hydrogens = 3 * 1 = 3

### Step 6: Final Count
- Primary Hydrogens: 15
- Secondary Hydrogens: 6
- Tertiary Hydrogens: 3

### Conclusion
The number of `1^(@)`, `2^(@)`, and `3^(@) H` atoms in 2,5,6-trimethyl octane, respectively, is:
- Primary Hydrogens: 15
- Secondary Hydrogens: 6
- Tertiary Hydrogens: 3