4. A 1m3 isolated chamber with rigid walls is divided into two compartments of equal volume. The partition permits transfer of heat. One side contains a non-ideal gas at 5 MPa and 300K and the other side contains a perfect vacuum. The partition is ruptured, and after sufficient time for the system to reach equilibrium, the temperature and pressure are uniform throughout the system. The objective of the problem statements below is to find the final T and P. The gas follows the equation of state RTPV=1+(bTa)RTP Where b=20cm3/mole;=40,000cm3K/mole; and CP=41.84+0.084T(K)J/molK. (a) Setup and simplify the energy balance (b) Derive formulas for the departure functions which you use to calculate the variables in the energy balance (c) Determine the final P and T by solving the required equations (trial and error or programming)