1Lesson 16, Geof Silcox, Chemical Engineering, University of UtahVI. EntropyA. Introduction1. The first law: energy cannot be created or destroyed2. The second law: certain processes do occur and certain processes don’t3. The magic vortex tube. Will it work or won’t it?Magic Vortex TubeCompressed air2 kg at 4 atm, 300 KHot air1 kg at 1 atm,333 KCold air1 kg at 1 atm273 KWe need a quantitativeanswer. This suggests that we arelooking for a property (like T, P, u, or V). How can we findsuch a property?Lesson 16, Geof Silcox, Chemical Engineering, University of UtahVI. EntropyB. The Clausius InequalityRev. HeatEngineTHTLQLQHWout,netFor a reversible heat engine, (6-16), isHLrevHLQQQor0TTTδ==∫vFor an irreversible heat engine, with QHconstant,HLirrevL,irrevL,revHLQQQQQoror0TTTδ><<∫vIn general, we have the Clausius inequality,Q0Tδ≤∫v(7-1)HLHLTTQQ=and
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