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What is the pH of 0.51 M diethylammonium bromide, (C2H5)2NH2Br. The Kb of diethylamine, (C2H5)2NH, is 6.9 x 10-4.

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Chemistry

What is the pH of 0.51 M diethylammonium bromide,(C2H5)2NH2Br.
The Kb of diethylamine,(C2H5)2NH, is 6.9 x10-4.

Answer & Explanation Solved by verified expert
3.6 Ratings (470 Votes)

(C2H5)2NH2Br it is a salt of strong acid and weak base. so cation participate in the reaction

(C2H5)2NH2+ + H2O    ---------------------> (C2H5)2NH2 + H3O+

    0.51                                                               0                 0

0.51 - x                                                            x                   x

Ka = Kw / Kb = 1.0 x 10^-14 / 6.9 x 10-4. = 1.45 x 10^-11

Ka = [ (C2H5)2NH2 ][H3O+] / [(C2H5)2NH2+ ]

1.45 x 10^-11 = x^2 / 0.51 - x

x = 2.71 x 10^-6

[H3O+] = x = 2.71 x 10^-6 M

pH = -log[H3O+]

      = -log (2.71 x 10^-6)

      = 5.57

pH = 5.57

   
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