The type of isomerism exihibited by the compound with formula `C_(4)H_(10)O` is :

Options

A. Chain and position
B. Functional and position
C. Metamerism
D. Chain, position, functional, and metamerism

Explanation

To determine the type of isomerism exhibited by the compound with the formula \( C_4H_{10}O \), we can analyze the different types of isomerism that can occur in organic compounds.

### Step-by-Step Solution:

1. **Identify the Molecular Formula**:
The given molecular formula is \( C_4H_{10}O \). This indicates that the compound contains 4 carbon atoms, 10 hydrogen atoms, and 1 oxygen atom.

2. **Determine Possible Structures**:
We can draw various structural formulas for \( C_4H_{10}O \). The compound can exist as an alcohol, ether, or other functional groups. Some possible structures include:
- Butan-1-ol (a straight-chain alcohol)
- Butan-2-ol (a branched alcohol)
- 2-Methylpropan-1-ol (a branched alcohol)
- Diethyl ether (an ether)

3. **Analyze Types of Isomerism**:
- **Chain Isomerism**: This occurs when there are different arrangements of the carbon skeleton. For \( C_4H_{10}O \), we can have straight-chain and branched forms (e.g., butan-1-ol vs. 2-methylpropan-1-ol).
- **Position Isomerism**: This occurs when the functional group is in different positions on the carbon chain. For example, butan-1-ol and butan-2-ol differ in the position of the hydroxyl (-OH) group.
- **Functional Isomerism**: This occurs when compounds have the same molecular formula but different functional groups. For example, an alcohol and an ether can both have the formula \( C_4H_{10}O \) but differ in functional groups.
- **Metamerism**: This occurs when there are different alkyl groups attached to the same functional group. For example, in ethers, we can have different combinations of alkyl groups (e.g., ethyl methyl ether vs. diethyl ether).

4. **Conclusion**:
Since \( C_4H_{10}O \) can exhibit all of the above types of isomerism (chain, position, functional, and metamerism), we conclude that the compound exhibits multiple types of isomerism.

### Final Answer:
The type of isomerism exhibited by the compound with formula \( C_4H_{10}O \) is **chain, position, functional, and metamerism**.

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