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please help- short buffer calculation will rate high!

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Date Posted: 4/13/2008 12:22:06 PM  Status: Live
please help- short buffer calculation will rate high!
Course Textbook Chapter Problem
General Chemistry N/A 17 N/A
Question Details:
Calculate the pH at the equivalence point for the following titration

100 mL of 0.10 M C2H5NH2 (Kb=5.6 * 10-4) titrated with 0.20 M HNO3

please show work


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Date Posted: 5/16/2008 10:04:02 AM  Status: Live
Asker's Rating: Lifesaver   
Response:
   Given that
  The molarity of C2H5NH2 = 0.10 M
  The volume of C2H5NH2 = 100.0 ml
   Kb = 5.6 * 10-4
  The molarity of HNO3 = 0.2 M
 At equivalence point all the C2H5NH2 will be converted as C2H5NH3+
 The volume of HNO3 required for this point is 50.0 ml because the molarity of acid is double to base.
  The molarity of C2H5NH3+  = 100.0 ml  * 0.10 M / 150 ml
                                      C    = 0.067 M
  The Ka for C2H5NH3+  = Kw / Kb
                                       = 1*10-14/5.6 * 10-4
                                       = 1.786*10-11
    ∴ [H+] = √Ka*C
                = √1.786*10-11 *0.067 M
               = 1.093*10-6 M
      pH = - log([H+])
           = - log(1.093*10-6 M)
           = 5.961



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