# 110216 - Chemical equilibrium(ctd(Chapter 6 199200 205-207...

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1 CHM3400 - Lecture 17 Feb 16 Chemical equilibrium (ctd) (Chapter 6 199- 200, 205-207) and ligand binding to macromolecules (Chapter 6 p.209-217) reaction quotient van’t Hoff equation protein ligand binding: dissociation constant, multiple binding sites experimental techniques

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2 Gas-phase reaction equilibrium ( ) () a o A b o B o r r P P P P RT G G / / ln + Δ = Δ ( ) P a o A b o B o r K RT P P P P RT G ln / / ln = = Δ At equilibrium, Δ r G = 0: How do we calculate Δ r G away from equilibrium? ( ) a o A b o B o r r P P P P RT G G / / ln + Δ = Δ Not zero P A and P B not at equilibrium Q RT G G o r r ln + Δ = Δ Reaction quotient Q
3 Example 6.2 The equilibrium constant K P for the reaction: N 2 O 4 (g) 2 NO 2 (g) is 0.113 at 298 K, which corresponds to a standard Gibbs energy change of 5.40 kJ mol -1 . In a certain experiment, the initial pressures are P NO2 = 0.122 bar and P N2O4 = 0.453 bar. Calculate Δ r G for the reaction at these pressures and predict the direction of the net reaction. Q RT G G o r r ln + Δ = Δ Answer : ( ) () 4 2 2 2 ln / / ln O N NO o r a o A b o B o r P P RT G P P P P RT G + Δ = + Δ = 453 . 0

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110216 - Chemical equilibrium(ctd(Chapter 6 199200 205-207...

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