Theorie der Wärme2

Lernkarten zur Vorlesung im FS22 von G. Blatter, Dep. Physik, ETH

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Flashcards	10
Language	Deutsch
Category	Physics
Level	University
Created / Updated	07.06.2022 / 27.06.2022
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Entropie

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\(S(U,V)\) in \([J/K]\)

freie Energie

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\(F(T,V,n) = U - TS\)

\(\left. \frac{\partial U}{\partial S} \right|_{V,n} = T\)

Enthalpie

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\(H(S,p,n) = U + pV\)

\(\left. \frac{\partial U}{\partial V} \right|_{S,n} = -p\)

U: innere Energie,
pV: Arbeit, die gegen p verrichtet werden muss, um V aufrechtzuerhalten

Gibbs freie Energie

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\(G(T,p,n) = U-TS+pV\)\(= H-TS = F+ pV\)

(im Ggw minimal)

Grosses Potential

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\(\Omega (T,V,\mu) = U - TS - \mu n\)

\(\left. \frac{\partial U}{\partial n} \right|_{S,V} = \mu\)

konjugierte Variable zu S

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Temperatur

\(\left. \frac{\partial U}{\partial S} \right|_{V,n} = T\)

konjugierte Variable zu V

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Druck (negativ)

\(\left. \frac{\partial U}{\partial V} \right|_{S,n} = -p\)

1. Hauptsatz der Thermodynamik

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\(d U = \delta Q - \delta W\)

2. Hauptsatz der Thermodynamik

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\(dS = \frac{\delta Q}{T}\)

3. Hauptsatz der Thermodynamik

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\(S(T\rightarrow0)\rightarrow \text{const}\)

unabhängig von Aggregatszustand, p, ...

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Theorie der Wärme2

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