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oct15_solution - Solution to recitation problems Problem#1...

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Solution to recitation problems 15 October Problem #1 Known: Devices operating between two reservoirs of temperature T H and T C . Find: Whether the devices are operating in reversible, irreversible or impossible cycles. a) max 1 ( 5.8) C H T Eq T η = - max 1000 1 0.667(66.7%) 3000 K K η = - = ( 5.10) 400 0.4(40%) 1000 cycle H W Eq Q kJ kJ η η = = = Since η < η max , this is an irreversible cycle. b) max ( 5.10) H H C T Eq T T γ = - max 303.15 12.126 303.15 278.15 K K K γ = = - ( 5.4) 300 15 20 H cycle Q Eq W kJ kJ γ γ = = = Since γ > γ max , this is an impossible cycle. c) max ( 5.9) C H C T Eq T T β = - max 275.15 55.03 280.15 275.15 K K K β = = - Since β < β max , this is an irreversible cycle. 1 T H = 3000K T C = 1000K Q H = 1000kJ Q C Engine T H = 303.15K T C = 278.15K Q H = 300kJ Q C Heat Pump W cycle = 400kJ W cycle = 20kJ T H = 280.15K T C = 275.15K Q H = 15kJ Q C =10kJ Refrigerator W cycle ( 5.3) 10 2 15 10 C C cycle H C Q Q Eq W Q Q kJ kJ kJ β β = = - = = -
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p v 1 2 3 4 Solution to recitation problems 15 October Problem #2 Known: 1kg pf water undergoes a reversible Carnot cycle in a piston-cylinder combination Find: a) p-v diagram of the cycle b) W cycle c) η d) η max Assumptions: i) Insignificant change in K.E and P.E. in the system
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