olecular wei n 1040615 and Malonic Acid information: the 1.5x10 and Ku 2.0v10\"
ID: 520526 • Letter: O
Question
Explanation / Answer
Malonic acid titration with NaOH
lets say we started with 0.2 g of malonic acid
concentration of malonic acid solution = 0.2 g/104.06 g/mol x 0.1 L = 0.02 M
25 ml aliquit titrated
pH
a) before adding NaOH
let x amount of acid has dissociated
H2A + H2O <==> HA- + H3O+
Ka1 = [HA-][H3O+]/[H2A]
1.5 x 10^-3 = x^2/0.02
x = [H3O+] = 5.48 x 10^-3 M
pH = -log[H3O+] = 2.26
b) pH at first half equivalence point
[H2A] remaining = [HA-] fomed
pH = pKa1
pKa = -log[Ka] = 2.82
c) at first equivalence point
pH = 1/2(pKa1 + pKa2)
= 1/2(2.82 + 5.70) = 4.26
d) at second half equivalence point
[HA-] left = [A^2-] formed
pH = pKa2
pKa2 = -log[Ka2] = 5.70
e) at the second equivalence point
volume of NaOH added = 0.02 M x 25 ml/0.25 M = 2 ml
[A^2-] formed = 0.02 m x 25 ml/27 ml = 0.02 M
A^2- + H2O <==> HA- + OH-
let x amount has hydrolyzed
Kb1 = Kw/Ka2 = [HA-][OH-]/[A^2-]
1 x 10^-14/2 x 10^-6 = x^2/0.02
x = [OH-] = 1 x 10^-5 M
pOH = -log[OH-] = 5
pH = 14 - pH = 9
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