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Physical Chemistry     86

















                              Fig. 3. pH response of a buffered
                              solution to the addition of acid or base.

        Most biological systems are buffered solutions, with their pH maintained at or around a
        value  of  7,  the  optimum  value for physiological processes, despite the presence of
        variable amounts of acid-base species such as dissolved carbon dioxide (carbonic acid).



                                   Acid-base indicators
        An acid-base indicator is generally a large, soluble organic molecule which in its acid
                                                        −
        form  (HIn)  is  colored  and in its conjugate base form (In ) is differently colored. The
        Henderson-Hasselbalch equation for this species is:




        and so if the solution pH changes from a value much less than pK a where   to
        one much greater than pK a where      , the indicator changes from its acid form
                              −
        (HIn) to its basic form (In ) and changes color. In fact this change is generally seen to
                                                                            −
        take  place between pH=pK a−1, where there is a ten-fold excess of HIn over In  and
        pH=pK a+1, where there is a ten-fold excess of In− over HIn. The abrupt change in pH at
        the end point of an acid-base titration is at least as large as two pH units and so the color
        change of a small amount of indicator added  to  the acid-base titration can be used to
        detect  this  end  point. This will be possible as long as the pH at the end point is
        approximately equal to the pK a of the indicator.
           It  is  important  that the concentration of indicator is very much smaller than the
        concentration of acid and of base in the titration. This ensures that very little extra titrant
        is required to effect the indicator acid-base color change, which ensures the accuracy of
        the end-point determination is unaffected. This can easily be achieved, as indicators are
        highly colored.
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