Multiple Choice Gas Pressure Question?

NetherCraft 0

A gas is compressed by an adiabatic process that decreases its volume by a factor of 2.

In this process, the pressure:

– increases by a factor of 2.

– does not change.

– increases by a factor of more than 2.

– increases by a factor of less than 2.

1 Answer

  • For an adiabatic process, the product pV^γ remains constant, so p1V1^γ = p2V2^γ, and

    p2/p1 = (V1/V2)^γ

    If V2 = 1/2 V1, then

    p2/p1 = 2^γ

    Since γ = cp/cv > 1, the pressure increases by a factor of more than 2.

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