SPSolution8-10

SPSolution8-10 - Naik, Sameer V. Solution for Special...

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Naik, Sameer V. Fall 2009 1000 Solution for Special Problem 8 Given: - Air inside piston-cylinder device undergoing a cycle comprised of three processes Find: - P-V diagram - Pressure (bar) and volume (m 3 ) at States 2 and 3 - Work (kJ), heat transfer (kJ), and internal energy change (kJ) for each process - Net work (kJ) and heat transfer (kJ) for cycle System: Assumptions: - Negligible leakage in piston-cylinder device, i.e. closed system (mass constant) - Quasistatic processes - Stationary system, i.e., 0 PE Δ= and 0 KE Δ = Basic Equation(s): WP d v = QW U P E K E −= Δ + Δ + Δ Solution: (a) The cycle is shown the P-V diagram below. P (bar) V (m 3 ) 12 3 V 2 = V 3 = 0.26 m 3 V 1 = 0.1 m 3 P 1 = P 2 = 5 bar P 3 = 1.44 bar
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Naik, Sameer V. Fall 2009 1000 (b) We can apply the energy balance for process 1-2 as: 12 12 12 QW U P E K E , i.e., () 12 12 2 1 m uu −= . From given information: 12 100kJ Q =+ and ( ) 21 20kJ mu u + . Hence, the work interaction for process 1-2: 12 80kJ W . Since the process is isobaric, 2 5bar P = . The quasistatic expansion work during the constant pressure is given as: 12 1 2 1 WP V V =− .
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This note was uploaded on 05/15/2010 for the course ME 200 taught by Professor Gal during the Spring '08 term at Purdue University.

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SPSolution8-10 - Naik, Sameer V. Solution for Special...

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