To determine the organic compound, we will follow the analysis given in the problem:
- The combustion reaction involves an organic compound X, which contains only carbon and hydrogen. When it burns with oxygen, the products are carbon dioxide (CO2) and water (H2O).
- According to the problem, 80 mL of the compound is mixed with 264 mL of O2 and the combustion produces 224 mL of a gaseous mixture.
- When the gaseous mixture is passed through KOH (which absorbs CO2), 64 mL of gas remains. This remaining gas is likely to be H2O in a gaseous state, since it will not be absorbed by KOH.
- Therefore, the 224 mL of gaseous mixture consists of:
- CO2 (absorbed by KOH)
- Remaining gas (H2O as steam/gas), which is 64 mL
- The volume of CO2 released can be calculated as: \(224\, \text{mL} - 64\, \text{mL} = 160\, \text{mL}\).
- We need to write the combustion reactions and match the stoichiometry for each option to find out which compound provides the resulting volumes:
- For C2H6: \(2C_2H_6 + 7O_2 \rightarrow 4CO_2 + 6H_2O\).
- For C2H2: \(2C_2H_2 + 5O_2 \rightarrow 4CO_2 + 2H_2O\). The logical flow here indicates that 80 mL of C2H2 and 264 mL of O2 can yield approximately 160 mL of CO2 and 64 mL of H2O. This precisely matches the problem statement.
- For C4H10: \(2C_4H_10 + 13O_2 \rightarrow 8CO_2 + 10H_2O\).
- For C6H6: \(2C_6H_6 + 15O_2 \rightarrow 12CO_2 + 6H_2O\).
- Thus, according the balanced reactions that match the volumes accordingly, the organic compound is C2H2 (acetylene).
Therefore, the correct answer is C₂H₂.