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636_Physics ProblemsTechnical Physics

636_Physics ProblemsTechnical Physics - 638 Heat Engines...

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638 Heat Engines, Entropy, and the Second Law of Thermodynamics P22.16 The Carnot summer efficiency is e T T c s c h , . = = + + = 1 1 273 20 273 350 0 530 a f a f K K And in winter, e c w , . = = 1 283 623 0 546 Then the actual winter efficiency is 0 320 0 546 0 530 0 330 . . . . F H G I K J = or 33 0% . P22.17 (a) In an adiabatic process, P V PV f f i i γ γ = . Also, P V T PV T f f f i i i F H G I K J = F H G I K J γ γ . Dividing the second equation by the first yields T T P P f i f i = F H G I K J γ γ 1 b g . Since γ = 5 3 for Argon, γ γ = = 1 2 5 0 400 . and we have T f = × × F H G I K J = 1 073 300 10 1 50 10 564 3 6 0 400 K Pa Pa K . b g . . (b) E nC T Q W W V int = = = eng eng 0 , so W nC T V eng = − , and the power output is P P . = = = = × = W t nC T t V eng mol kg or kg J mol K K s W 212 kW 80 0 8 314 564 1 073 60 0 212 10 1.00 0 039 9 3 2 5 . . . . b g e jc hb gb
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