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Consider the titration of 100.0 mL of 0.82 M H 3 A by 0.82 M KOH for the next th

ID: 877492 • Letter: C

Question

Consider the titration of 100.0 mL of 0.82 M H3A by 0.82 M KOH for the next three questions. The triprotic acid has Ka1 = 1.0 x 10-5, Ka2 = 1.0 x 10-8, and an unknown value for Ka3.

1) Calculate the pH after 100.0 mL of KOH has been added.

pH =

2) Calculate the pH after 150.0 mL of KOH has been added.

pH =

This is one of the three equivalence points in the titration. At the first two equivalence points, an amphoteric substance is the only major species present, with acidic/basic properties. To calculate the pH when an amphoteric substance is the only major species, we use the formula pH = (pKa1 + pKa2)/2 or pH = (pKa2 + pKa3)/2, depending on which amphoteric substance is present.

Explanation / Answer

1). Ka1 = 1.0X10-5

pKa1 = - logKa1

= - log(1.0X10-5 )

= 5

Ka2 = 1.0X10-8

pKa2 = - log(1.0X10-8 )

= 8

pH = (pKa1 + pKa2)/2

= (5 + 8) /2

= 13/2

= 6.5

2). Volume of KOH added = 100mL + 150 mL = 250 mL

= 0.250 L

Moles of OH- = 0.82*0.250

= 0.205

Moles of OH- in excess = 0.205 - 0.082

= 0.123 moles

Total volume = 100 + 250 = 350 mL

= 0.350L

[OH-] = 0.123/0.350 = 0.351

pOH = - log[OH-]

= - log 0.351

= 0.45

pH = 14 - pOH

= 14 - 0.45

= 13.55