MECH 213 - 10.5.07

MECH 213 - 10.5.07 - MECH 213 October 5, 2007 Building a...

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MECH 213 – October 5, 2007 Building a refrigerator, A/C, or heat pump o Start with a piston-cylinder compression device Clausius Inequality o Total integral of δQ/T ≤ 0 o δQ R - δW C = dE sys where δW C = δW Rev + δW sys o Rev HE δQ R /δQ = T R /T δQ R = δQ(T R /T) o Combined system δW C = δQ R - dE Sys δW C = δQ(T R /T) - dE Sys o Total integral of δW C ≤ W C W C = T R *Tot.Int.(δQ/T) – Tot.Int.(dE Sys ) =0 Work input based on the second law is < 0 Therefore Tot.Int(δQ/T) ≤ 0 Where less than irreversible Where equal to reversible Combined System and Completely reversible System o Tot.Int(δQ/T) = 0 o dS = δQ/T, where dS is total entropy o ΔS = S 2 – S 1 = ∫ 1 2 dS = ∫ 1 2 δQ/T
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MECH 213 - 10.5.07 - MECH 213 October 5, 2007 Building a...

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