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ID: 1026281 • Letter: E

Question

erie PLAY High Wastex l H&R; Block Budget Cha g.com/ibiscms/mod/ibis/view.php?id-5047047 X · H&R; Block Budget Cho XCopyofCopy of Cashe Jump to... 3/11/2018 11:55 PM A5/103/6/2018 09:01 PM -Prin! Caluator Periodic Table Gradebook The pKb values for the dibasic base B are pin#2.10 and pK62-786. Calculate the pH at each of the following points in the titration of 50.0 mL of a 0.55 M B(aq) with 0.55 M HCaq Number ajbefore addition of any HC Number (b) after addition of 25.0 mL ot HC I 0 (c) after addition of 50 0 mL of HCl 110 11 . (d) after addition ot 75.0 ml of CO (e) after addition of 1000mL of HCl

Explanation / Answer

dibasic base = pKb1 = 2.10

pKb2 = 7.86

millimoles of base = 50 x 0.55 = 27.5

(a) before addition of any HCl

pOH = 1/2 [pKb1- logC]

pOH = 1/2 [pKb1 - log 0.55]

          = 1/2 (2.10 - log 0.55)

          = 1.18

pH + pOH = 14

pH = 14 - pOH

      = 12.8

pH = 12.82

(b) after addition of 25.0 mL of HCl

millimoles of HCl = 15 x 0.5 = 12.5

it is half equivalence point. so

pOH = pKb1

pOH = 2.10

pH = 11.90

(c) after addition of 50.0 mL of HCl

millimoles of HCl = 25

it is equivalence point . at equivalence point

pOH = (pKb1 + pKb2 )/ 2

         = 2.10 + 7.86 / 2

         = 4.98

pH = 9.02
(d) after addition of 75.0 mL of HCl

moles of HCl = 75 x 0.5 = 37.5

it is second half equivalence point . so

pOH = pKb2

pOH = 7.86

pH = 6.14

(e) after addition of 100.0 mL of HCl

millimoles of HCl = 100 x 0.55 = 55

it is second equivalence point.here it is only BH2+ remains.so its concentration

BH2+ millimoles = 55

BH2+ concentration = 55 / total volume

                                 = 55 / (100 + 50)

                                 = 0.367 M

BH2+ + H2O ------------------> BH+   + H3O+

0.367                                            0             0

0.367 - x                                         x              x

Ka2 = x^2 / (0.367 -x)

7.24 x 10^-7 = x^2 / (0.367 -x)

x = 5.15 x 10^-4

[H3O+] = x = 5.15 x 10^-4 M

pH = -log[H3O+] = -log (5.15 x 10^-4)

       = 3.29

pH = 3.29