If 
, assume complete dissociation and use the charge balance equation. If 
, solve the equilibrium expression. If 
, use the exact solution
To determine the equilibrium constant using a cell consider as an example the equilibrium constant for
The half-cell equations are
From the Nernst equation
At equilibrium,
and
The equilibrium constant of water is
, assume complete dissociation and use the charge balance equation. If , solve the equilibrium expression. If , use the exact solution (1)
To determine the equilibrium constant using a cell consider as an example the equilibrium constant for
(2)
The half-cell equations are
(3)
(4)
From the Nernst equation
(5)
At equilibrium,
(6)
and
(7)
The equilibrium constant of water is
(8)
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