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1.) 50 mL of an unknown monoprotic weak acid was titrated with 0.1 M NaOH and th

ID: 1045105 • Letter: 1

Question

1.) 50 mL of an unknown monoprotic weak acid was titrated with 0.1 M NaOH and the results below were obtained.

a.What is the concentration of the weak acid?_________________________

b.Using the graph, what is the pKa of the weak acid?_________________________

c.Calculate the pH of the solution before and base is added._________________________

d.Calculate the pH of the solution when 9mL of base are added._________________________

e.Calculate the pH at the equivalence point._________________________

f.Calculate the pH when 14 mL of of base are added._________________________

14 12 10 6 4 2 0 10 15 20 ViNaOH), mL

Explanation / Answer

From the titration plot shown above

a. concentration of weak acid = 0.1 M x 10 ml/50 ml = 0.02 M

b. pKa = 4.5

c. initial pH

HA + H2O <==> H3O+ + A-

le x amount dissociated

Ka = [A-][H3O+]/[HA]

pKa = -log[Ka] = 5

Ka = 1 x 10^-5

so,

1 x 10^-5 = x^2/0.02

x = [H3O+] = 4.47 x 10^-4 M

pH = -log[H3O+] = 3.35

d. after 9 ml NaOH added

moles HA = 0.02 M x 50 ml = 1 mmol

moles NaOH = 0.1 M x 9 ml = 0.9 mmol

A- formed = 0.9 mmol

HA remained = 0.1 mmol

pH = pKa + log(A-/HA)

     = 5 + log(0.9/0.1)

     = 5.95

e. pH at equivalence point

[A-] formed = 0.02 M x 50 ml/60 ml = 0.0167 M

A- + H2O <==> HA + OH-

let x amount hydrolyzed

Kb = [HA][OH-]/[A-]

1 x 10^-14/1 x 10^-5 = x^2/0.0167

x = [OH-] = 4.1 x 10^-6 M

[H3O+] = 1 x 10^-14/4.1 x 10^-6 = 2.45 x 10^-9 M

pH = -log[H3O+] = 8.61

f. after 14 ml NaOH added

excess [NaOH] = [OH-] = 0.1 M x 4 ml/64 ml = 0.00625 M

[H3O+] = 1 x 10^-14/0.00625 = 1.6 x 10^-12 M

pH = -log[H3O+] = 11.79