Question:
The volume of a polyatomic gas (gamma=4/3)compressed adiabatically to 1/8th of the original volume. If the original pressure of the gas is P• the new pressure will be:
Answer:
Initial pressure = P•
New pressure = P2
Adiabatic processes happen when Q = 0:
The system is thermally insulated, or because the process happens very quickly.
Temperature, pressure and volume all change, but the quantities
PVγ and T Vγ-1 are constant,
γ = 4/3
For an adiabatic process PVγ = Constant
P2 = P• (V1/V2)γ
Or, P2/P• = (V1/V2)γ =P2/P• = (8)4/3
Or P2 = P• x (8)4/3
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