SPSolution25-26

SPSolution25-26 - Naik, Sameer V. Solution for Special...

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Naik, Sameer V. Fall 2009 1000 Solution for Special Problem 25 Given: - Water executing Carnot heat engine cycle Find: - Pressure, temperature, specific volume, specific internal energy, specific enthalpy at all four states within the cycle - Heat transfer and work (kJ) for each process in the cycle - Thermal efficiency (%) of the cycle - P-v diagram System: Assumptions: - Carnot cycle executed in a closed piston-cylinder device - Negligible changes in KE and PE Basic Equation(s): QW U K E P E −= Δ + Δ + Δ 1 cycle C thermal H H W T QT η == Solution: (a) At state 1, we have water at 40 bar and 15% quality. Using Table A-3: () 33 3 11 mm m 1.2522 10 0.15 0.04978 1.2522 10 0.008532 kg kg kg fg f vv x −− =+ = × + × = kJ kJ kJ 1082.3 0.15 2602.3 1082.3 1310.3 kg kg kg f uu x = + = 1 kJ kJ kJ 1087.3 0.15 1714.1 1344.42 kg kg kg f f f g hh xhh h x h = + = At state 2, we have saturated vapor at 40 bar. Using Table A-3: 3 2 m 0.04978 kg g , 2 kJ 2602.3 kg g , 2 kJ 2801.4 kg g hh Process 2-3 is adiabatic. Applying energy balance, we have: 23 23 23 qw u
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Naik, Sameer V. Fall 2009 1000 () 23 3 2 3 3 kJ kJ kJ 2602.3 491.5 2110.8 kg kg kg f g wu u u u u u −=−⇒ = = ⇒< < SLVM at state 3 and pressure 1.5 bar 3 3 2110.8 466.94 0.8 2519.7 466.94 f gf uu x == = −− 33 3
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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.

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SPSolution25-26 - Naik, Sameer V. Solution for Special...

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