Page 194 - Basic physical chemistry for the atmospheric sciences
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1 8 0               Basic physical chemistry

                     Therefore,  this  is  a  "common  ion"  problem ;  proceed  as  in
                                      4
                      Exercises 4.4 and  . 5 .
                                       CHAPTER  5
            5 . 8 .    Concentrations  o f   H + (aq)  and  OH - ( aq)  are  2  x  1 0 - 1 3   and
                      0.05  M  ,   respectively. NaOH  is a base.
            5 . 9.    Concentrations  of  H + (aq)  and  oH - (aq)  are  0 . 0 40  and
                      2 . 5 x 1 0 - 13 M, respectively.
            5 . 1 0 .   (a)  HS04- (aq) + H 2 0(l) �  H  3 0 + ( aq) + Sol - ( aq)
                          acid I    base 2    acid 2    base  1
                      (b)  H2P04 (aq) + HCl(l) �  H  3 POiaq) + Cl - (aq)
                          base 2     acid  I   acid 2   base I
                      (c) NH4+ (aq) + CH COO - ( aq) � CH COOH(aq) + N  H 3(aq)
                                                      3
                                      3
                          acid I    base 2         acid 2       base 1
            5 . 1 1 .    0 . 0 1 0   and  1 . 0 x  1 0 - 12  M  ,   respectively. pH = 1 2  .
            5 . 1 2 .    Acid-dissociation constant  s   3 . 9 6 x 1 0 - 1 0 •
                                              i
                      Solution:  Let  y  be  the  number of moles  per  liter  of  HCN
                      that ionize.

                                       HC N (g) + H 2 0(l)�  H 30  + (aq) + CN - (aq)
                                        0
                      Initially in solution:  . 2 00 M
                            s
                      Change :          - yM            yM         yM
                      At equilibrium:   (0.2 00  - y)M   yM        yM
                      Also, y =  [H3 0  + ( aq)] =  [CN - ( aq)] .
                      Therefore,

                                - log[H 0 + (aq)]  =  - log y = pH = 5 .05
                                       3
                      or,

                                          y =  8 . 9 1 x  1 0 - 6

                      Hence ,
                                                     [H 3 0 + (aq)][CN  - ( aq)]
                   Acid-dissociation constant for HCN      [HCN(g)]
                                                        2
                                                       y
                                                     0. 2 - y
                                                       (8.9 x 1 0 - 6) 2
                                                     0 . 2 -  8 .9 X 1 0 -  6
                                                    =  .96  x  1 0  - 1 0
                                                     3
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