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Answer to Question #9075 in Inorganic Chemistry for Sarah Afzal

Question #9075
Glycolic acid which is a monoprotic acid and a constituent in sugar has a pka of 3.9. A 25 ml solution of glycolic acid is tritrated to the stoichiometric point with 35.8 ml of 0.020 M sodium hydroxide solution. What is the ph of the resulting solution at the stoichiometric point?
Expert's answer
pKa = -logKa
Ka = 10^-3.9 = 1.26x10^-4
Ka = [H+][An-]/[HAn] = [H+]^2 /[HAn] "An" is HOCH2COO-

NaOH + HAn = NaAn + H2O

n of NaOH is:
0.020 mol is in 1000ml
x mol is in 35.8
x = 0.000716 mol

so n of HAn is the same,and concentration is 0.000716 mol in 25ml,or 0.029 mol in 1000 ml or

Now, acetate ions are a base and will react with water by the reaction:

An- + H2O --> HAn + OH-

Kb for this reaction can be calculated from Ka x Kb = Kw to be 7.94x10^-11

By that equation, [HAn] = [OH-], so Kb = x^2/0.029
You can solve this to show that [OH-] = 1,52x10^-6 M. pOH, then = 5.82 and pH = 14 - pOH = 8.18

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