The number of isomers possible for the molecular formula `C_(2)` FCIBrl is

Options

A. 2
B. 3
C. 4
D. 6

Answer

To determine the number of isomers for the molecular formula C2FClBrI, we will follow these steps:

### Step 1: Identify the Structure
The molecular formula C2FClBrI indicates a compound with two carbon atoms, one fluorine atom, one chlorine atom, one bromine atom, and one iodine atom. The presence of multiple halogens suggests that we can have different structural isomers.

### Step 2: Consider the Possible Structures
Since we have two carbon atoms, we can consider the following structural arrangements:
1. **Ethene (C=C)**: The two carbon atoms can be connected by a double bond, leading to the possibility of geometric isomers (cis/trans or E/Z configurations).
2. **Substituents**: The halogen atoms (F, Cl, Br, I) can be attached to the carbon atoms in various positions.

### Step 3: Draw the Possible Isomers
1. **1-Bromo, 2-Chloro, 2-Fluoro, 1-Iodoethene**:
- E and Z configurations can be drawn for this structure.

2. **1-Bromo, 2-Chloro, 1-Fluoro, 2-Iodoethene**:
- E and Z configurations can also be drawn for this structure.

3. **1-Bromo, 1-Chloro, 2-Fluoro, 2-Iodoethene**:
- E and Z configurations can be drawn.

4. **1-Bromo, 2-Fluoro, 1-Chloro, 2-Iodoethene**:
- E and Z configurations can be drawn.

5. **1-Chloro, 1-Bromo, 2-Fluoro, 2-Iodoethene**:
- E and Z configurations can be drawn.

6. **1-Fluoro, 1-Bromo, 2-Chloro, 2-Iodoethene**:
- E and Z configurations can be drawn.

### Step 4: Count the Isomers
After drawing all possible structures and considering the E/Z configurations, we find a total of 6 distinct isomers for the molecular formula C2FClBrI.

### Conclusion
The total number of isomers possible for the molecular formula C2FClBrI is **6**.

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