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Unformatted text preview: 1 This is going to seem pretty abstract..so Hang on for the ride! Meeting 17 Sections 71—76 What we covered Monday • Carnot Corollaries • Maximum (Carnot) Efficiency • Absolute Temperature Scale • Carnot Cycle • Maximum (Carnot) COP 2 Topics for Today • Clausius Inequality • Entropy Generation • Obtain Entropy Values • Entropy Change • Constant Entropy (___________) Processes • Ts Diagram 3 4 Clausius Inequality ∫ Another corollary of the 2nd Law. Now we will deal with increments of heat and work, Q and W, rather than Q and W. We will employ the symbol , which means to integrate over all the parts of the cycle. 5 Look at a reversible power cycle Hot reservoir Cold reservoir System H Q L Q outR W 6 Look at a reversible cycle: 29 L H cycle Q Q Q = ∫ δ We know: And: 29 W Q outR cycle = ∫ δ 7 For the reversible cycle cycle T Q ∫ δ ∫ ∫ = L L H H T Q T Q δ δ Look at Q/T: Since the heat transfer occurs at ______________ temperature, we can pull T out of integrals: cycle T Q ∫ δ L L H H T Q T Q = 8 For the reversible cycle H L rev H L T T Q Q = or L L H H T Q T Q = This allows us to write: cycle T Q ∫ δ T Q T Q H H H H = = 9 For an irreversible cycle Hot reservoir Cold reservoir System H Q LI Q outI W 10 For an irreversible cycle outR outI W W < For the same heat input: For both cycles we can write: L H outR Q Q W = LI H outI Q Q W = and Apply inequality: L H LI H Q Q Q Q < or L LI Q Q < L LI Q Q or 11 Apply cyclic integral cycle T Q ∫ δ L LI H H T Q T Q = T Q T Q L L H H = < For the irreversible cycle: T Q cycle < ∫ δ 12...
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This note was uploaded on 10/04/2011 for the course MEEN 315 taught by Professor Ramussen during the Summer '07 term at Texas A&M.
 Summer '07
 RAMUSSEN

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