Thermfcn

Thermfcn - Thermodynamic Functions from Partition Functions...

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Thermodynamic Functions from Partition Functions U-U(0) = – 1 Q ( Q ∂β ) V S = k ln Q + U-U(0) T H = U + PV at T = 0, H(0) = U(0) for ideal gases: PV =nRT H - H(0) = U - U(0) + nRT A = U - TS at T = 0, A(0) = U(0) A - A(0) = U - U(0) -TS A - A(0) = U - U(0) - kT ln Q - (U - U(0)) A - A(0) = - kT ln Q P = – ( A V ) T = kT ( ln Q V ) T G = A + PV at T=0, G(0) = A(0) G - G(0) = A - A(0) + PV G - G(0) = -kT ln Q + kTV ( ln Q V ) T for ideal gases:
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