Which one of the following formula correctly represents the organic compound formed when 1,2- dibromoethane is heated with NaOH in ethanol solution ?

Options

A. `C_(2)H_(2)`
B. `C_(2)H_(4)`
C. `C_(2)H_(6)`
D. `CH_(3)OH`

Answer

To solve the question about the organic compound formed when 1,2-dibromoethane is heated with NaOH in ethanol solution, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Reactant**: The reactant given is 1,2-dibromoethane. Its molecular formula is C2H4Br2. The structure can be represented as:
\[ \text{CH}_2\text{Br}-\text{CHBr}-\text{CH}_2 \]

2. **Understand the Reaction Conditions**: The reaction involves heating 1,2-dibromoethane with sodium hydroxide (NaOH) in an ethanol solution. This indicates that we are likely to see an elimination reaction.

3. **Elimination of HBr**: When 1,2-dibromoethane is heated with NaOH, the bromine atoms (Br) and hydrogen atoms (H) can be eliminated. The first elimination will remove one HBr molecule. The reaction can be represented as:
\[ \text{CH}_2\text{Br}-\text{CHBr} \xrightarrow{\text{NaOH, heat}} \text{CH}_2=\text{CHBr} + \text{HBr} \]
This results in the formation of vinyl bromide (bromoethylene).

4. **Further Elimination**: The product still has a bromine atom and an alpha hydrogen. Therefore, it can undergo another elimination reaction:
\[ \text{CH}_2=\text{CHBr} \xrightarrow{\text{NaOH, heat}} \text{C} \equiv \text{C} + \text{HBr} \]
This results in the formation of ethyne (acetylene).

5. **Final Product**: The final product after both eliminations is ethyne (C2H2).

### Conclusion:
The correct formula representing the organic compound formed when 1,2-dibromoethane is heated with NaOH in ethanol solution is:
\[ \text{C}_2\text{H}_2 \]