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8.1: Fundamental Equation of Thermodynamics
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Let’s summarize some of the results from the first and second law of thermodynamics that we have seen so far.
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8.2: Thermodynamic Potentials
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Starting from the fundamental equation, we can define new thermodynamic state functions that are more convenient to use under certain specific conditions. The new functions are determined by using a mathematical procedure called the Legendre transformation.
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8.3: Free Energies
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he Legendre transformation procedure translates all information contained in the original function to the new one. Therefore, H(S,P,{ni}) , A(T,V,{ni}) , and G(T,P,{ni}) all contain the same information that is in U(S,V,{ni}) .
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8.4: Maxwell Relations
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Let’s consider the fundamental equations for the thermodynamic potentials that we have derived in section 8.1.