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ACID–BASE INDICATORS    273



                We can split the fraction term in Equation (6.51) by employing the laws of logarithms,
                to yield
                                                              −
                                                            [A ]
                                                   +
                                  log 10  K a = log [H 3 O ] + log 10           (6.52)
                                              10
                                                            [HA]
                                                                                   +
                The term ‘log 10  K a ’ should remind us of pK a (Equation 6.52), and the term log [H 3 O ]
                                                                             10
                will remind us of pH in Equation (6.20), so we rewrite Equation (6.52) as
                                                          −
                                                        [A ]
                                      −pK a =−pH + log 10                       (6.53)
                                                        [HA]
                which, after a little rearranging, yields the Henderson–Hasselbach equation,
                Equation (6.50).

     6.5     Acid–base indicators



                                                                          Thename‘litmus’
              What is ‘the litmus test’?
                                                                          comes from the Old
             pH indicators                                                Norse litmosi,which
                                                                          derives from litr and
             Litmus is a naturally occurring substance obtained from lichen. It  mosi, meaning dye and
             imparts an intense colour to aqueous solutions. In this sense, the  moss respectively.
             indicator is a dye whose colour is sensitive to the solution pH.
             If the solution is rich in solvated protons (causing the pH to be
                                                                          Much of the litmus
             less than 7) then litmus has an intense red colour. Conversely, a
                                                                          in a laboratory is
             solution rich in hydroxide ions (with a pH greater than 7) causes  pre-impregnated on
             the litmus to have a blue colour.                            dry paper.
               To the practical chemist, the utility of litmus arises from the way
             its colour changes as a function of pH. Placing a single drop of
             litmus solution into a beaker of solution allows us an instant test of  Litmus is an indicator.
             the acidity (or lack of it). It indicates whether the pH is less than  To avoid ambiguity,
             7 (the litmus is red, so the solution is acidic), or the pH is greater  we shall call it an
                                                                          ‘acid–base indicator’
             than 7 (the litmus is blue, so the solution is alkaline). Accordingly,
                                                                          or a ‘pH indicator’.
             we call litmus a pH indicator.
               In practical terms, we generally employ litmus during a titration.
             The flask will contain a known volume of acid of unknown con-  Litmus often looks
             centration, and we add alkali from a burette. We know we have  purple–grey at the
             reached neutralization when the Litmus changes from red (acid  neutralization point.
             in excess) and just starts changing to blue. We know the pH of  This colour tells us we
             the solution is exactly 7 when neutralization is complete, and then  have a mixture of both
             note the volume of the alkali, and perform a calculation similar to  the red and blue forms
             Worked Example 6.11.                                         of litmus.
               The great English scientist Robert Boyle (1627–1691) was the
             first to document the use of natural vegetable dyes as acid–base indicators.
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