An isolated chamber with rigid walls is divided into two equal compartments, one containing gas and the other evacuated. The partition between the compartments ruptures. After the passage of a sufficiently long period of time, the temperature and pressure are found to be uniform throughout the chamber.

a. If the filled compartment initially contains an ideal gas of constant heat capacity at 1 MPa and 500 K, what are the final temperature and pressure in the chamber? 

b. If the filled compartment initially contains steam at 1 MPa and 500 K, what are the final temperature and pressure in the compartment? 

c. Repeat part (a) if the second compartment initially contains an ideal gas, but at half the pressure and 100 K higher temperature. 

d. Repeat part (b) if the second compartment initially contains steam, but at half the pressure and 100 K higher temperature.