InterviewSolution
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Calculate the pH of a 0.10 M ammonia solution. |
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Answer» H2O → NH4+ + OH- KB = [NH4+ ] [OH- ] = 1.77 x 10-5 [NH3]Before neutralization,[NH4+ ] = [OH-] = xThusKb = x2 = 1.77x 10-5 0.10Hence x = 1.33 x 10-5 = [OH-] Now Kw = [H+][OH-]So [H+] = Kw/ [OH-] = 10-14 / 1.33x 10-12 = 7.51 x 10-12 p H = - log(7.51 x 10-12) = 11.12On ADDITION of 25 ml of 0.1 M HCl solution to 50 ml of 0.1 M ammonia solution , 2.5 MOL of ammonia are neutralized. The resulting 75 ml solution CONTAINS the remaining unneutralised 2.5 mol of NH3 molecules and 2.5 mol of NH4+. NH3 + HCl → NH4+ + Cl- 2.5 2.5 0 0 At equilibrium 0 0 2.5 2.5The resulting 75 ml of solution contains 2.5 mol of NH4+ ions and 2.5 mol of uneutralised NH3 molecules. This NH3 exists in the following equilibrium.NH4OH ⇌ NH4+ + OH-0.033 M- y y yWhere y = [OH-] = [NH4+]The FINAL 75ml solution after neutralization already contains 2.5 mol NH4+ ions, thus total concentration of NH4+ ions is given as:[NH4+] = 0.033 + yAs y is small, [NH4OH] = 0.033 M and [NH4+] = 0.033MKb = [NH4+] [OH-] = y (0.033) = 1.77x 10-5 M [NH4OH] (0.033)Thus , y = 1.77 x 10-5 = [OH-][H+] = 10-14 = 0.56 x 10-9 1.77 x 10-5 Hence p H = 9.24 |
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