engr2010-f11-hw-03

engr2010-f11-hw-03 - 4 A system contains air initially at P...

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ENGR 2010 Thermodynamics I: Homework Due 9/08 1. A system is expanded from state 1 to state 4 in the multistep process plotted at right. Compute the work done by the system during each separate process (1–2, 2–3, 3–4) and the total work for the entire process. P , kPa V , m 3 200 300 0.10 0.20 0.30 2 4 3 . . . 100 1 . 2. A piston cylinder of initial volume V 1 =0.2 m 3 contains m = 1 kg of water at an initial temperature T 1 = 120 C. The piston floats and maintains a constant pressure. Heat is added to the system and the system expands. The process ends at V 2 = 1 . 5 m 3 . Find the final temperature of the system and the work done by the water. 3. A system contains air, initially at P 1 = 100 kPa, V 1 = 0 . 1 m 3 , and T 1 = 300 K. The system is now compressed in an isothermal process. The final volume is one half the initial volume. Find the work done on the system. Assume ideal gas behavior.
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Unformatted text preview: 4. A system contains air, initially at P 1 = 200 kPa, V 1 = 0 . 1 m 3 , and T 1 = 400 K. The system is now allowed to expand, and during the process the pressure and volume are related by Pv 1 . 4 = constant. At the ﬁnal state a total of W 1 − 2 = 10 kJ has been done by the system. Find the ﬁnal temperature and volume. Assume ideal gas behavior. 5. A gas is contained in a spherical balloon. The balloon has an initial diameter of D 1 = 0 . 05 m, and the initial pressure of the gas is P 1 = 120 kPa. Gas is now added to the balloon, during which the pressure increases proportionally with diameter, i.e., P P 1 = D D 1 At the end of the process the diameter of the balloon has doubled. Find the work done by the gas in the balloon during the process....
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