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Calculate the pH of the solution?

Part A -

Calculate the pH of a solution prepared by dissolving 0.750 mol of NH3 and 0.250 mol of NH4Cl in water sufficient to yield 1.00 L of solution. The Kb of ammonia is 1.8 x 10^(-5).

pOH = pKb + log[(conj. acid) / (base)]

pOH = -log(1.8*10^(-5)) + log[0.750 / 0.250]

pOH = 5.22

pH = 14 - pOH = 14 - 5.22 = 9.78

Answer 1: pH = 9.74

Part B -

Calculate the pH of the above solution after addition of 0.25 mol of HCl, assuming there is no change in volume.

Answer 2: 9.56

This part I don't understand how to do. Could someone show or explain it to me? I tried assuming that HCl completely dissociates; I tried writing it with an initial concentration for each: [NH4] = 0.250, [NH3] = 0.750, [H+] = 0.250. But this didn't give me any sort of definite answer, and I was unsure how to proceed. I have a test on Monday, so it would be great if someone could help me on this today. Thanks in advance.

2 Answers

Relevance
  • Dr.A
    Lv 7
    1 decade ago
    Favorite Answer

    HCl completely dissociates and the net ionic equation will be :

    NH3 + H+ = NH4+

    moles NH3 = 0.750 - 0.25= 0.500

    moles NH4+ = 0.250 + 0.250 = 0.500

    pOH = pKb + log 0.500/0.500 = pKb

    pKb = 4.74

    pH = 14 - 4.74 = 9.26

  • sandie
    Lv 5
    1 decade ago

    The HCl will convert NH3 to NH4+, so after the addition of the HCl there are 0.5 mol each of NH3 and NH4+

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