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12/13/2015 11:00 PM A 71.7/100 12/7/2015 07:46 PM Gradebook Print n Calculator P

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Question

12/13/2015 11:00 PM A 71.7/100 12/7/2015 07:46 PM Gradebook Print n Calculator Periodic Table Question 16 of 17 Map A General Chemistry University Science Books presented by Sapling Learning Donald McQuarrie .Peter A. Rock.Ethan Gallogly Phosphorous acid, H3PO3(aq), is a diprotic oxyacid that is pKa1 pKa2 an important compound in industry and agriculture. 1.30 670 Calculate the pH for each of the following points in the titration of 50.0 mL of a 3.00 M H3PO3(aq) with 3.0 M KOH(aq). Phosphorous acid Number (a) before addition of any KOH Number (b) after addition of 25.0 mL of KOH l Number (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 O Previous Give Up & View Solution Check Answer Next Exit Hint

Explanation / Answer

H3PO3 millimoles = 50 x 3 = 150

(a) Before any addition of KOH :

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

3                                       0             0

3 - x                                   x              x

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

0.05 = x^2 / 3 - x

x = 0.363

[H+] = 0.363 M

pH = -log [H+] = -log [0.363]

       = 0.44

pH = 0.44

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 = 50 x 3 = 150

HPO3^-2 molarity = 150 / (50 +100) = 1

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

1 -x                                           x                x

Kb2 = x^2 / 1.4-x

5.01 x 10^-8 = x^2 / 1-x

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

x = 2.24 x 10^-4

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

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

pOH = 3.65

pH + pOH = 14

pH = 10.35

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