A bottle at 325 K contains an ideal gas at a pressure of 162.5 × 10³ Pa. The rubber stopper closing the bottle is removed. The gas expands adiabatically against P _external = 120.0 × 10³ Pa, and some gas is expelled from the bottle in the process. When P = P _external , the stopper is quickly replaced. The gas remaining in the bottle slowly warms up to 325 K. What is the final pressure in the bottle for a monatomic gas, for which C_{V ,m} = 3/2R, and a diatomic gas, for which C_{V ,m} = 5/2R?