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110c-lecture20 - Gibbs Free Energy(rG and Keq A A g B B g =...

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Gibbs Free Energy ( r Gº) and K eq ( ) ( ) ( ) ( ) g Z g Y g B g A Z Y B A ν ν ν ν + = + B B A A Z Z Y Y dn dn dn dn dG µ µ µ µ + = bar P P P P rxn r r Q RT G G ln 0 + = B B A A Z Z Y Y rxn P P P P Q ν ν ν ν = P EQ B B A A Z Z Y Y rxn K P P P P Q = = ν ν ν ν Initial state: Z Y B A 1 0 0 0 0 = = = = Final state: equilibrium ( r G = 0) and rxn r r Q RT G G ln 0 + = P r K RT G ln 0 0 + = P EQ B B A A Z Z Y Y r K RT P P P P RT G ln ln 0 = = ν ν ν ν Rxn Coordinate Free Energy 0 0 < G r K P > 1 0 0 = G r K P = 1 0 0 > G r K P < 1
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