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Unformatted text preview: 20.110/5.60 Fall 2005 Lecture #9 page 1 Gibbs Free Energy, Multicomponent Systems, Partial Molar Quantities, and the Chemical Potential Comments on the special role of G ( T , p ): If you know G ( T , p ), you know all other thermodynamic quantitites. , p T G G S V T p = = p G H G TS H G T T = + = p T G G U H pV U G T p T p = = T G A U TS A G p p = = = = 2 2 p p p p S G C T C T T T We can get all the thermodynamic functions from G ( T , p ). p-dependence of G ( T , p ) for liquids, solids, and gases (ideal) From T G V p = ( ) ( ) 2 1 2 1 , , p p G T p G T p Vdp = + 20.110J / 2.772J / 5.601J Thermodynamics of Biomolecular Systems Instructors: Linda G. Griffith, Kimberly Hamad-Schifferli, Moungi G. Bawendi, Robert W. Field 20.110/5.60 Fall 2005 Lecture #9 page 2 Liquids and solids V is small ( ) ( ) ( ) ( ) ( ) 2 1 2 1 1 , , , G T p G T p V p p G T p G T = + Ideal gases ( ) ( ) ( ) 2 1 2 2 1 1 1 , , , p p ln p RT G T p G T p dp G T p RT p p = + = + Take o 1 1 bar p p = = ( ) ( ) ( ) ( ) o o , ln or , ln p G T p G T RT G T p G T RT p p = + = + ( p in bar) From ( ) ( ) o , ln p G S S T p S T T = = R p Multicomponent systems, the chemical equilibrium, partial molar quantitites. So far weve worked with fundamental equations for a closed (no mass change) system with no composition change....
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This note was uploaded on 11/11/2011 for the course BIO 20.010j taught by Professor Lindagriffith during the Spring '06 term at MIT.
- Spring '06