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d/ibis/view.php?id 3822155 PrintCalculator Periodic Table on 17 of 21 eral Chemi

ID: 1033136 • Letter: D

Question

d/ibis/view.php?id 3822155 PrintCalculator Periodic Table on 17 of 21 eral Chemistry 4th Edition University Science Books presented by Sapling Leaming Phosphorous acid, HsPOs(aq), is a diprotic oxyacid that is an important compound in industry and agriculture. PKat pK 1.30 6.70 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 (a) before addition of any KOH Number (b) after addition of 25.0 mL of KOH (c) after addition of 50.0 mL of KOH (d) after addition of 75.0 ml of KOH 0 (e) after addition of 100.0 mL of KOH Number Number Number

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 = 0.60

b) after addition of 25.0 mL KOH

it is first half equivaelce point

pH = pKa1 = 1.30

pH = 1.30

2 ) 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

3) 75.0 mL KOH

it is seond half equivalece point

pH = pKa2

pH = 6.70

4) 100.0 mL KOH

it is second equivalece point

HPO3^-2 millimoles = 100 x 1.5 =150

HPO3^-2 molarity = 150 / (50 +100) = 1.0 M

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

1.0 -x                                           x                x

Kb2 = x^2 / 1.4-x

5.01 x 10^-8 = x^2 / 1.0-x

x = 2.24 x 10^-4

[OH-] = 2.24x 10^-4 M

pOH = -log[OH-] = -log (2.24 x 10^-4 )

pOH = 3.65

pH + pOH = 14

pH = 10.35