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I. (30 pts.) One mole of an ideal gas with constant heat capacities and ? 5/3 is compressed adiabatically in a piston-cylinder device from T1-300 K, pi = 1 bar to p2 = 10 bar at a constant external pressure Pext- P2 -10 bar. Calculate the final temperature, T2, and W, Q. AU, AH for this process. 2. (20 pts.) Repeat problem 1 for an adiabatic and reversible compression. 3. (20 pts.) A rigid, insulated tank is divided into two equal-volume parts by a partition. One part contains an ideal gas at p, 100 kPa and T1-300 K whereas the other part is evacuated ( p=0). The partition is removed and the gas expands to fill the entire tank. Find the final temperature and pressure in the tank 4. (30 pts.) A closed system contains one mole of an ideal gas with constant heat capacities and y- 5/3 at 71-300 K. The system undergoes a constant-pressure process during which it receives 12471 J of heat. Calculate the final temperature, T2, and the work, W
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