A compound with molecular formula `C_(7)H_(16)` shows optical isomerism, the compound will be

Options

A. 2, 3-dimethyl pentane
B. 2, 2-dimethyl butane
C. 2-methyl hexane
D. None of the above

Answer

To determine which compound with the molecular formula C7H16 shows optical isomerism, we need to identify the presence of a chiral center in the given options. A chiral center is a carbon atom that is bonded to four different substituents.

### Step-by-Step Solution:

1. **Identify the Molecular Formula**: The compound has the molecular formula C7H16. This indicates that it is an alkane with 7 carbon atoms.

2. **List the Options**: The options provided are:
- A) 2,3-Dimethylpentane
- B) 2,2-Dimethylbutane
- C) 2-Methylhexane
- D) None of the above

3. **Analyze Each Compound for Chiral Centers**:
- **Option A: 2,3-Dimethylpentane**:
- Structure: This compound has a pentane backbone with two methyl groups at the 2nd and 3rd carbons.
- Chiral Center: At carbon 3, it has one hydrogen, one methyl group, one ethyl group (from the pentane chain), and one isopropyl group. Since all four substituents are different, carbon 3 is a chiral center. Therefore, this compound shows optical isomerism.

- **Option B: 2,2-Dimethylbutane**:
- Structure: This compound has a butane backbone with two methyl groups at the 2nd carbon.
- Chiral Center: The 2nd carbon has two identical methyl groups and two hydrogen atoms. Therefore, it does not have a chiral center and does not show optical isomerism.

- **Option C: 2-Methylhexane**:
- Structure: This compound has a hexane backbone with one methyl group at the 2nd carbon.
- Chiral Center: The 2nd carbon has two identical methyl groups and two hydrogen atoms. Therefore, it does not have a chiral center and does not show optical isomerism.

4. **Conclusion**: The only compound that shows optical isomerism is **2,3-Dimethylpentane** (Option A).

### Final Answer:
The compound with molecular formula C7H16 that shows optical isomerism is **2,3-Dimethylpentane**.