How to solve these 2 problems about the pH?

1) A solution 5.50*10‐2 M of lactic acid has pH = 2.195. Calculate the constant of dissociation of

lactic acid (CH3CHOHCOOH).

Answer: 8.37*10‐4

2) Ammonia, NH3, is a weak base with Kb = 1.79*10‐5. Calculate the concentration of a solution of NH3 so as its pH is 11.040.

Answer: 6.87*10‐2 M

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  • Lactic acid: CH3CHOHCOOH … AKA: HLac

    HLac <==> H+ + Lac- ……. Ka = ???

    [H+] can be determined from the pH, [H+] = 10^-pH, which also gives [Lac-]

    [H+] = 0.638M

    [Hlac] = 5.5×10^-2 – 0.638 …. this accounts for the HLac that dissociated

    Ka = [H+] [Lac-] / [HLac]

    Ka = 0.638² / (5.5×10^-2 – 0.638)

    Ka = 8.37×10^-4

    —————————-

    An ammonia solution is basic because it reacts with water to make a dilute solution of hydroxide ion, plus ammonium ion.

    NH3(aq) + H2O(l) <==> NH4+ + OH- …….. Kb = 1.79×10^-5

    If the pH is 11.040, then pOH = 2.96, and since [OH-] = 10^-pOH, then [OH-] = 0.110M

    Kb = [NH4+] [OH-] / [NH3]

    1.79×10^-5 = 0.110² / (x – 0.110) ….. where x is the original concentration of NH3. The original NH3 concentration is reduced by the amount that reacts with water which is 0.110 moles per liter.

    x = 0.0687

    [NH3] = 0.0687M

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