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Map A Sapling Learning Ilculate the pH of the solution after the addition of the

ID: 508075 • Letter: M

Question

Map A Sapling Learning Ilculate the pH of the solution after the addition of the following amounts of 0.0647 M HNO3 to a 60.0 mL solution of 0.0750 M aziridine. The pKa of aziridinium is 8.04. d) 66.1 mL of HNO3. a) 0.00 mL of HNO3 Number Number pH 6.7571 pH 0.4575 b) 5.36 mL of HNO e) Volume of HNO3 equal to the equivalence point Number Number pH 9.118 pH 4.7496 c) Volume of HNO3 equal to half the equivalence point volume 74.4 mL of HNO3 Number Number pH 8.04 pH Incorrect Previous Try Again Next I Exit Explanation

Explanation / Answer

aziridine is a weak base with pKb = 14-8.04 = 5.96

[base] =0.075 M and volume of base = 60mL

[acid] =0.0647 M

a) before the titration

pH = 14 - pOH

= 14 - 1/2[pkb -log C]

= 14 - 1/2[5.96 - log 0.075]

= 10.4575

b) 5.36mL of 0.0647M HNO3

B + H+ --------------> BH+

60x0.075 =4.5 0 0 initial mmoles

- 5.36x0.0647=0.3467 - change

4.153 0 0.3467 fter mmoles

The solution is a buffer whose pH is given by Hendersen equation as

pH = 14 -{pkb +log [conjugate acid]/[base]}

= 14 -{5.96 + log 0.3467/4.153}

= 9.118

c) At half equivalenc epoint

pOH = pKb and pH = 14-pKb

pH = 14 -5.96

= 8.04

d) 66.1mL of HNO3

B + H+ --------------> BH+

60x0.075 =4.5 0 0 initial mmoles

- 66.1x0.0647= 4.277 - change

0.223 0 4.277 after mmoles

Thus the pH of this buffer

pH = 14 -{pkb + log [conjugate acdi]/[base]}

= 14 -{5.96 + log 4.277/0.223]

= 6.7571

e) At equivalence

60x0.075 = VmL x 0.0647

Thus volume of HNo3 at equivalence = 69.55mL

B + H+ --------------> BH+

60x0.075 =4.5 0 0 initial mmoles

- 69.55x0.0647=4.5 - change

0 0 4.5 after mmoles

thus the solution has a salt of weak base and strong acid

concentration of salt = mmoles / volme

= 4.5/129.55 = 0.03473

whose pH is givenby

pH = 1/2[pKw -pKb - logC]

= 1/2 [14 -5.96 -log 0.03473]

= 4.7496

e) Vof HNo3 =74.4 mL

excess acid = 74.4 -69.55= 4.85 mL

Thus [H+] in solution = 4.85x0.0647/134.4

= 0.002334 M

thus pH = -log 0.002334

= 2.63

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