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A bottle at 21.0C contains an ideal gas at a pressure of 126.4 × 10^3 Pa....

A bottle at 21.0C contains an ideal gas at a pressure of 126.4 × 10^3 Pa. The rubber stopper closing the bottle is removed. The gas expands adiabatically against Pexternal = 101.9 × 10^3 Pa, and some gas is expelled from the bottle in the process. When P = Pexternal, the stopper is quickly replaced. The gas remaining in the bottle slowly warms up to 21.0oC. What is the final pressure in the bottle for a monatomic gas, for which CV,m = 3/2R, and a diatomic gas, for which CV,m = 5/2R?

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