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84                  Basic physical chemistry

                Solution.  Hydrochloric acid is a gas under normal conditions, but it
              is a strong electrolyte that dissolves in water to form equal numbers of
              H + (aq) and Cl  ( aq).  Therefore,  when 0.02  mole of HCI dissolve in  1
                           -
              L  of water, 0.02  mole of  + (aq)  and  0.02  mole of ci -(aq) will form
                                     H
              [we can neglect the small additional number of H + (aq)  produced  by
                                                    +
              the dissociation  of the  water].  Hence,  [H  ( aq)] = 0 . 0 2  M  .   Since  we
              can apply Eq. (4.22) to the solution
                                            1 . 00 x  1 0 - 14
                                            ---- = 5 X  1 0 - 13 M
                                               0 . 0 2
                Comparing  the concentration  of OH - (aq) calculated  i n   the  above
              exercise  with  that calculated for pure  water in  Exercise 4 . 8 ,   we see
              that by adding 0.02 mole of HCI to  1  L of water, we have lowered the
              oH - (aq) concentration from  1 0 - 7   M  to 5 x 1 0 - 1 3   M  !   But  the H  + (aq)
              concentration  has  increased  from  1 0 - 7   M  to  0 . 0 2  M  .   Clearly,  the
              solution is now very acidic. Thu s ,   HCI is both a strong electrolyte and
              a strong acid,  because when  a  small amount of it is added to water it
                                                      l
              produces a  strongly  acidic  solution.  Similar y ,   a  substance  that  dis­
                                                                       -
              solves in water to produce relatively high concentrations of OH  ( aq)
              ions  (compared to those in pure  water),  such  as  NaOH(s),  will  raise
              the  concentration  of OH -(aq)  relative  to  H + (aq)  by  a  tremendous
              amount (see  Exercise 5 . 8 ) .   Such materials are called bases,  because
              when added to water they form basic solutions. 1  It follows from the
              above  definitions  that  acids  and  bases  have  opposite  (or  opposing)
              tendencies.  Thus,  bases  react  with  acids to neutralize  their  acidity.
              For example, two neutralizing reactions are

                                 HCI + NaOH � H20 + NaCl
                                H2S04 + C ao� H20 + CaS04

              In both cases, an acid reacts with a base to produce water and a third
              class of substance called a salt (e. . ,   NaCl and CaS04).
                                            g
                The  acidity  (or  alkalinity,  as  the  case  may  be)  of water  is  very
              important  because  H  + (aq)  and  OH - (aq)  ions  play  crucial  roles  in
              many  reactions  in  aqueous  solution .   For  example,  the  acidity  (or
                                               s
                                                                          e
              alkalinity) determines the ability of water to sustain fish and plant lif ;
              i t   also determines the solubility of many materials  n   water.
                                                          i
                In  addition  to  the  acids  we  have  already  mentioned,  some  other
              common acids are sulfuric acid  (H 2 S04 ,   nitric acid (HN0 ) ,   formic
                                                  )
                                                                    3
                           )
                                                    )
              acid  (HCOOH ,   phosphoric  acid  (H3P04 ,   hydrogen  fluoride  ( H F ) ,
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