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engr2010-f11-hw-03-solns

# engr2010-f11-hw-03-solns - ENGR 2010 Thermodynamics I...

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ENGR 2010 Thermodynamics I: Homework Set 3 Solutions 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 . Work = area under the process curve on a P - V diagram. 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. The initial state has v 1 = 0 . 2 / 1 = 0 . 2m 3 / kg and T 1 = 120 C. This is a saturated mixture, with P 1 = 198 . 5 kPa. The final volume is v 2 = 1 . 5m 3 / kg, and P 1 = P 2 . The final state is superheated, with T 2 = 374 C. The work done for the constant pressure process is W 1 2 = 2 1 P dV = P ( V 2 - V 1 ) = 198 . 5 · (1 . 5 - 0 . 2) = 258 kJ 3. A system contains air, initially at

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