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2. A bottle at 350 K contains an ideal gas at a pressure of 1.50x105 Pa....

2. A bottle at 350 K contains an ideal gas at a pressure of 1.50x105 Pa. A rubber stopper is removed and you hear a pop as the gas expands quickly and adiabatically against Pext=1.00x105 Pa and some of the gas is expelled from the bottle. When P=Pext, the stopper is immediately replaced. The gas inside the bottle slowly equilibrates and goes back to having a temperature of 350K. What is the final pressure inside the bottle, assuming the gas is monoatomic (CV=3R/2)? What if the gas is diatomic (CV=5R/2)?

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Answer #1

Initial temperature = 350 K

Initial Pressure = 1.5 x 105 Pa

Adiabatic expansion against P = 105 Pa

Slowly equilibrates meaning isochoric process keeping the volume constant,

If the gas is diatomic,

Slowly equilibrates meaning isochoric process keeping the volume constant,

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