O Levels Physics (5054)•5054/12/M/J/22

Explanation
Manometer measures pressure difference via liquid column height
Steps:
- Convert height difference to meters: 72 mm = 0.072 m.
- Calculate pressure difference: ρgh = (13600 kg/m³)(10 N/kg)(0.072 m) = 9792 Pa = 9.792 kPa.
- Add to atmospheric pressure: gas pressure = 100 kPa + 9.792 kPa ≈ 101 kPa.
- Select closest option matching this value.
Why C is correct:
- Manometer gauge pressure is ρgh; absolute gas pressure is atmospheric pressure plus ρgh for supply above atmosphere.
Why the others are wrong:
- A: Equals atmospheric pressure, ignoring mercury column contribution.
- B: Subtracts ρgh from atmospheric, implying gas pressure below atmosphere.
- D: Unrelated doubling of atmospheric pressure, exceeding calculated value.
Final answer: C
Topic: Pressure
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