A bottle at 285K contains an idea gas at a pressure of 155.7 * 10^3 Pa. The rubber stopper closing the bottle is removed. Gas expands adiabatically against P(external) = 111.4 * 10^3 Pa, and some gas is expelled from the bottle from the process. When P = P(external), the stopper is quickly replaced. The gas remaining in the bottle slowly warms up to 285K. what is the final pressure in the bottle for a diatomic gas for which C(v,m) = 5R/2?