Calculate the number of metamers represented by molecular formula `C_(4)H_(10)O`.

Explanation

To calculate the number of metamers represented by the molecular formula \( C_4H_{10}O \), we need to consider the structural variations that can occur while maintaining the same molecular formula. Metamers are structural isomers that differ in the arrangement of carbon chains around the functional group.

### Step-by-Step Solution:

1. **Identify the Functional Group**:
The molecular formula \( C_4H_{10}O \) suggests that the compound could be an alcohol, ether, or a ketone. For simplicity, we will consider the alcohol functional group (-OH) since it is common for this formula.

2. **Draw the Carbon Skeleton**:
The simplest carbon skeletons for four carbon atoms can be straight-chain or branched. The two main structures we can consider are:
- Butanol (straight-chain)
- Isobutanol (branched)

3. **Construct the Metamers**:
- **1-Butanol**: \( CH_3-CH_2-CH_2-CH_2OH \)
- **2-Butanol**: \( CH_3-CH(OH)-CH_2-CH_3 \)
- **Isobutanol**: \( (CH_3)_2CH-CH_2OH \)
- **Tert-Butanol**: \( (CH_3)_3COH \)

4. **Count the Metamers**:
From the structures we have drawn, we can see that there are four distinct metamers:
- 1-Butanol
- 2-Butanol
- Isobutanol
- Tert-Butanol

5. **Conclusion**:
Therefore, the total number of metamers for the molecular formula \( C_4H_{10}O \) is **4**.

### Final Answer:
The number of metamers represented by the molecular formula \( C_4H_{10}O \) is **4**.