80 mL of a hydrocarbon on mixing with 264 mL of oxygen in a closed U-tube undergoes complete combustion. The residual gases after cooling to 273 K occupy 224 mL. When the system is treated with KOH solution, the volume decreases to 64 mL. The formula of the hydrocarbon is:
- A.
- B.
- C.
- D.
- Set up the general combustion equation. Since a hydrocarbon combusts as
and at 273 K water is liquid (negligible volume), the residual gas after combustion consists of unreacted plus produced.
- Use the total residual gas volume to find y. Given 80 mL of hydrocarbon reacts with 264 mL , and the residual gas volume (unreacted + ) is 224 mL,
Simplifying,
- Use the KOH absorption step to find x. Since KOH absorbs , leaving only unreacted (64 mL) behind,
Substituting ,
- Combine the results. Since and , the hydrocarbon formula is .
Hence, the answer is option A — .