b)

Consider 4 different "cylinder with piston" systems as schematically illustrated in Fig.1: System 1 has adiabatic walls and the adiabatic piston is blocked by stoppers. System 2 has adiabatic walls and the adiabatic piston can move freely. System 3 has conducting (diathermal) walls and the conducting piston is blocked by stoppers. System 4 has conducting (diathermal) walls and the conducting piston can move freely. Initially all these 4 systems are at placed at the Earth's surface. All 4 systems are filled with air with same conditions as the near surface air: temperature T, = 290 K, pressure P, = 1 x 105 Pa. All systems contain 1 mole of dry air. a. (5 points) What is the volume of each of these systems? All these 4 systems are now slowly lifted to a height z in the atmosphere where the atmospheric pressure has reduced to 0.9 x 10 Pa and the atmospheric temperature has decreased to 280 K. b. (20 points) Determine pressure, temperature and mass density of the air in each of the four systems after they have been moved to the height z