Step 1: Understanding the reaction.
The reaction involves the combustion of the organic compound with oxygen, producing a gaseous mixture. The gas remaining after passing through KOH is the unreacted oxygen.
Step 2: Calculation of gas volumes.
- Volume of gas after reaction: \(224 \, \text{mL}\)
- Volume of gas left after passing through KOH (unreacted O₂): \(64 \, \text{mL}\)
- Volume of CO₂ formed = \(224 \, \text{mL} - 64 \, \text{mL} = 160 \, \text{mL}\)
Now, applying stoichiometric relations:
Let the volume of C₂H₂ be \(x \, \text{mL}\), and the volume of O₂ used in the reaction is \(x + \frac{y}{4}\). Using the relation:
\[
\frac{80}{200} = \frac{2}{2 + \frac{y}{4}}
\]
Solving for \(y\), we get that \(y = 2\), hence the organic compound is \(\text{C}_2\text{H}_2\).
Step 3: Conclusion.
The correct answer is (2) C₂H₂.