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Question

Determine the gauge pressure given an absolute pressure of 2 atm and atmospheric pressure of 1 atm.

The correct answer is

1 atm

Pressure can be reported on two different reference scales, and this question tests the relationship between them.

  • Absolute pressure is measured from a perfect vacuum (true zero pressure), where there are no molecules exerting any force.
  • Atmospheric pressure is the pressure of the surrounding air, taken here as 1 atm.
  • Gauge pressure is measured relative to the local atmospheric pressure, because most pressure gauges read zero when open to the atmosphere.

The three are linked by:

Pabsolute = Patmospheric + Pgauge, so Pgauge = Pabsolute − Patmospheric.

Substituting the given values:

  • Pgauge = 2 atm − 1 atm = 1 atm

This is why the answer is 1 atm. The value 2 atm is simply the absolute pressure copied unchanged — it ignores that the gauge is referenced to the atmosphere. The value 3 atm comes from mistakenly adding the two pressures instead of subtracting, which would give absolute-plus-atmospheric and has no physical meaning here. 0.5 atm corresponds to dividing rather than subtracting and is unrelated to the definition. A gauge reading of 1 atm here simply means the fluid is at twice atmospheric pressure in absolute terms.

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