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Unformatted text preview: work Important question: What is free about the free energy? Important relations (under what conditions are these valid?) Function A(V,T) : dA=-PdV-SdT Function G(P,T) : dG= VdP-SdT Combined 1-st and 2-nd laws: dU= -pdV+TdS The variation of G with T and P: T G V P G = & , P G S T G = - < & Plot G vs. T and P Variation of G with P (const. T) 2 1 2 1 ( ) ( ) ( ) P P G P G P V P dP = + For the ideal gas: 2 1 2 1 ( ) ( ) ln( / ) G P G P nRT P P = + Variation of G with T (const. P) Start from P G G H S T T G-= - = & Derive the Gibbs-Helmholtz equation 2 P G H T T T = -& (there are several other forms of the GH equation)...
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