Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Phosphorous acid, H3PO3(aq), is a diprotic oxyacid that is an important compound

ID: 494337 • Letter: P

Question

Phosphorous acid, H3PO3(aq), is a diprotic oxyacid that is an important compound in industry and agriculture.

Calculate the pH for each of the following points in the titration of 50.0 mL of a 1.5 M H3PO3(aq) with 1.5 M KOH(aq).

McQuarrie Rock Gallogly presented by Sapling Learning Phosphorous acid, H3PO3(aq), is a diprotic oxyacid that is pKa1 pKa2 1.30 670 an important compound in industry and agriculture Calculate the pH for each of the following points in the titration of 50.0 mL of a 1.5 M H3PO3(aq) with 1.5 M KoH (aq). Number before addition of any KOH Number (b) after addition of 25.0 mL of KOH Numbe click to edit (c) after addition of 50.0 mL of KOH Number (d) after addition of 75.0 mL of KOH Number (e) after addition of 100.0 mL of KOH HO -P OH Phosphorous acid

Explanation / Answer

H3PO3 millimoles = 50 x 1.5 = 75

a ) Before any addition of KOH :

H3PO3 ---------------------> H+ +   H2PO3-

1.5                                       0             0

1.5- x                                   x              x

Ka1 = [H+][H2PO3-] / [H3PO3]

0.05 = x^2 / 1.5 - x

x = 0.25

[H+] = 0.25 M

pH = -log [H+] = -log [0.25]

       = 0.6

pH = 0.6

b) after addition of 25.0 mL KOH

it is first equivaelce point

pH = pKa1 = 1.30

pH = 1.30

c ) addition of 50.0 mL KOH

it is first equivalence point

pH = 1/2 (pKa1 + pKa2)

pH =1/2 (1.30 + 6.70)

pH = 4.0

d) 75.0 mL KOH

it is seond half equivalece point

pH = pKa2

pH = 6.70

e) 100.0 mL KOH

it is second equivalece point

HPO3^-2 millimoles = 100 x 2.1 = 210

HPO3^-2 molarity = 210 / (50 +100) = 1.4M

HPO3^-2 + H2O ------------------> H2PO4- + OH-

1.4 -x                                           x                x

Kb2 = x^2 / 1.4-x

5.01 x 10^-8 = x^2 / 1.4-x

x^2 + 5.01 x 10^-8 - 7.017 x 10^-8 = 0

x = 2.65 x 10^-4

[OH-] = 2.65 x 10^-4 M

pOH = -log[OH-] = -log (2.65 x 10^-4 )

pOH = 3.58

pH + pOH = 14

pH = 10.42