`C_3H_6Cl_2` has how many isomers which are vicinal dihalide ?

Options

A. 1
B. 2
C. 3
D. 4

Explanation

To determine how many isomers of the compound \( C_3H_6Cl_2 \) are vicinal dihalides, we can follow these steps:

### Step 1: Identify the Structure of the Compound
The molecular formula \( C_3H_6Cl_2 \) indicates that we have a three-carbon chain (propane) with two chlorine atoms and six hydrogen atoms.

### Step 2: Draw Possible Structures
We can draw the structures based on the placement of the chlorine atoms:

1. **Isomer 1 (Geminal Dihalide)**: Both chlorine atoms are attached to the same carbon atom.
- Structure:
```
Cl
|
H-C-H
|
Cl-C-H
|
H
```

2. **Isomer 2 (Vicinal Dihalide)**: Chlorine atoms are on adjacent carbon atoms.
- Structure:
```
Cl H
| |
H-C-C-H
| |
H Cl
```

3. **Isomer 3 (Non-vicinal Dihalide)**: Chlorine atoms are on the first and third carbon atoms.
- Structure:
```
Cl H
| |
H-C-H
|
H-C-H
|
Cl
```

### Step 3: Identify Vicinal Dihalides
A vicinal dihalide has two halogen atoms on adjacent carbon atoms. From the structures drawn:

- **Isomer 1** is a geminal dihalide (not vicinal).
- **Isomer 2** is a vicinal dihalide (valid).
- **Isomer 3** is not vicinal as the chlorines are on non-adjacent carbons.

### Step 4: Count the Vicinal Dihalides
From the three isomers we identified, only **Isomer 2** qualifies as a vicinal dihalide.

### Conclusion
Thus, there is **1 vicinal dihalide** isomer for the compound \( C_3H_6Cl_2 \).

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