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Problem 2 [20 points] An adiabatic rigid cylinder is divided in two compartments by a piston. One compartment is filled with N = 13 moles of water vapor at a temperature 7, and pressure p. The other compartment is filled with 2 = 12 moles of carbon dioxide CO, at a temperature T2 = 37, and pressure p2 = 2p1. Each gas is initially in thermodynamic equilibrium. The piston is removed and the gases mix. After equilibrium has been reached, 1. What is the internal energy of the gas mixture in the cylinder? 2. What is the temperature of the gas mixture? 3. What is the pressure of the gas mixture? Consider both gases as ideal and treat the molecular rotations and atomic vibrations using classical mechanics. HO CO2