Page 85 - Instant notes
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Fundamentals of equilibria     71


           A special example of these equations is  the  equilibrium produced by the physical
        transition of a species from a liquid to a gas (vaporization) and the reverse reaction,
        where the gas becomes a liquid (condensation):

        In this case



        and so










        where        is the  standard enthalpy of vaporization of A (see  Topic  B3).  This
        expression is called the Clausius-Clapeyron equation. The equivalent expression for a
        temperature range where     can be assumed to be constant is:





        which allows       to be determined from two measurements  of  the  gas vapor
        pressure, p 1 and p 2, each at their respective temperature T 1 and T 2.


                                   Response to changes


        For the general reaction               at equilibrium, ∆G=0 and




        However, when a species on the left-hand side (LHS) of the equation, e.g. A, is added so
        that  c A increases, this removes  the  equilibrium condition, decreases  the reaction
        quotient Q and hence makes ∆G negative. The forward reaction becomes spontaneous
        and dominates the backward reaction, and species on the LHS of the equation (A, B) are
        consumed in order to produce more on the RHS (C, D).  This  continues  until  a  new
        equilibrium  position  is reached, for which the equations  ∆G=0 and hence
                        again apply and the concentrations are again related  by  the
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