Consider a piston/cylinder assembly. Between region A and region B is a thin, rigid membrane, the mass of which can be considered negligible. Region A has 0.5 kg of air initially at 200 kPa and 300 K. Region B has 1 cubic meter of nitrogen at 100 kPa and 400 K. The piston between region B and the surroundings is frictionless. In region A also sits a 0.01 kg copper block at the same temperature as the air. Consider a system that includes all three substances. A process occurs such that the temperature of the system increases to 500 K. Determine the following: a. The final pressure of air.
b. The final volume of nitrogen.
c. The change in total energy of the system.
d. What are the assumptions necessary to answer the first three questions?