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The value of the equilibrium constant for a
particular reaction under specific conditions may be determined
by experiment. The only data required would be the concentrations
of all products and reactants once the system has reached
equilibrium.
In practice it is generally not necessary to
measure all of the substances. If the initial amounts of
substances are known and the final amount of just one can be
determined, it is then possible to determine the concentrations
of all other species by following the stoichiometry of the
reaction. More about that later.
The simplest possible calculation of the value
of Kc would be by plugging
given values into the correct expression. 
Simple calculations can give some idea of what
the equilibrium constant is all about but they only go so far. It
would be helpful to know a bit more about how the constant can be
used to make predictions about a system or to compare two systems.
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