(25) An isolated vessel is initially divided in half by a thin membrane; on one side of the membrane are 500 moles of gas " X " at 300K, while the other side is initially evacuated (a vacuum). The total vessel volume is 1m3. At time t=0, the membrane ruptures and the gas is allowed to fill the entire vessel and equilibrate. a. (5) What would the final gas temperature after the process if X were an ideal gas? b. (20) " X " is NOT an Ideal Gas under these conditions, but it can be described using the Berthelot EOS: P=vbRTTv2a where a=35PaKm6mol2 and b=2.5105m3mol1. Calculate the final temperature of the gas; assume cVIG=1.5R (Ideal Gas condition heat capacity... so, this is like the polynomials in Appendix A.2, but with only a constant term)