Free Energy and Equilibrium

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        Kinetics decide if a process will go fast or slow to the equillbrium position.  Equilibrium from the thermodynamics view is the point at the lowest value of free energy available to the reacton system.  When substances undergo a chemical reaction the equilibrium is reached when the free energy is at a minimum.  This point is where Gproducts = Greactants or when

                        wpe5.jpg (740 bytes)G = Gproducts - Greactants = 0

From the equation wpe5.jpg (740 bytes)G = wpe5.jpg (740 bytes)G° + RT ln (Q) and at equilibrium wpe5.jpg (740 bytes)G equals 0 and Q equals K.

Then                  wpe5.jpg (740 bytes)G = 0 = wpe5.jpg (740 bytes)G° + RT ln (K)

or                       wpe5.jpg (740 bytes)G° = -RT ln (K)

Qualitative Relationship between the Change in Standard Free Energy and the Equilibrium Constant for a Given Reacton

wpe5.jpg (740 bytes) K
wpe5.jpg (740 bytes)G° = 0 K = 1
wpe5.jpg (740 bytes)G° < 0 K > 1
wpe5.jpg (740 bytes)G° > 0 K < 1

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