110c-lecture6 - qrev is Path Independent and a State...

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Path A: isothermal ( T = 0) Path B: adiabatic (q B = 0) Path C: const. V ( δ w = 0) Path D: const. P Path E: const. V δ q rev T is Path Independent and a State Function Path Condition S T q rev = δ A T=const = = + = = 1 2 1 1 ln 0 V V nR S dV V nRT dS T w q dU A δ δ B q=0 0 = = T q S B B δ C V=const * ln ln 1 2 2 1 1 2 1 2 V V nR T T C T dT C dS S TdS q w q dU dT C V T T V T T C V = = = = = = + = = δ δ δ Path A connects Path (B+C) and S A = S B + S C
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