An isolated chamber with rigid walls is divided into two equal compartments. The partition between the compartments rupture. After the passage of a sufficiently long period of time the temperature and pressure are found to be uniform throughout the chamber. If the filled chamber initially contains steam at $1$MPa and $500K,$ the second chamber initially contains the same fluid as the first chamber but at half the pressure and $100K$ higher temperature. What is the final temperature and pressure in the chamber?