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Phosphoric acid is triprotic. Ka1 = 7.5 x10-3, Ka2=6.2x10-8 and Ka3=4.2x10-13. p

ID: 565170 • Letter: P

Question

Phosphoric acid is triprotic. Ka1 = 7.5 x10-3, Ka2=6.2x10-8 and Ka3=4.2x10-13.

pH

Indicator

1

2

3

4

5

6

7

8

9

10

11

Phenolphthalein

Colorless

Pink

Red

Methyl Red

Red

Orange

Yellow

Orange IV

Orange

Peach

e) What would be the pH of a solution prepared by combining equal quantities of sodium dihydrogen phosphate and sodium hydrogen phosphate?

f) Sufficient strong acid is added to a solution containing Na2HPO4 to neutralize one half of it. What will be the pH of this solution? Explain.

pH

Indicator

1

2

3

4

5

6

7

8

9

10

11

Phenolphthalein

Colorless

Pink

Red

Methyl Red

Red

Orange

Yellow

Orange IV

Orange

Peach

Explanation / Answer

H3PO4 phosphoric acid

e) when equal amount of NaH2PO4 and NaH2PO4 are mixed together

according to Hendersen-Hasselbalck equation,

pH = pKa2 + log([Na2HPO4]/[NaH2PO4])

with,

[NaH2PO4] = [NaH2PO4]

pH = pKa2

     = -log(Ka2)

     = -log(6.2 x 10^-8)

     = 7.20

--

f) when strong acid added to neutralize 1/2 of Na2HPO4

we will have,

[HPO4^2-] remained = [H2PO4^-] formed

in solution.

according to Hendersen-Hasselbalck equation,

pH = pKa2+ log([HPO4^2]/[H2PO4^-])

with,

pH = pKa2

     = -log(Ka2)

     = -log(6.2 x 10^-8)

     = 7.20