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12) A student conducting a titration of a mono-protic weak acid by a mono-protic

ID: 103398 • Letter: 1

Question

12) A student conducting a titration of a mono-protic weak acid by a mono-protic strong base collected the data shown in the graph below. pH Titration Results 13.0 12.0 11.0 10.0 9.0 8.0 7.0 6.0 5.0 4.0 3.0 0.010 0.050 0.020 Vol. Added Base (L) 0.000 0.030 0.040 a) If the concentration of the strong base is 0.075 M, how many moles of acid were present in the sample? b) If the sample weighed 0.375 g, what is the formula weight of the unknown acid? c) Using graphical methods determine the pKa of the unknown acid. d) Calculate the pK, of the unknown acid using the initial pH value. The unknown acid was dissolved in enough solvent to make a solution with a volume of 10 mL. Show work.

Explanation / Answer

a)

Answer

0.0021mol

Explanation

From graph , Equivalence point = 28ml

Concentration of Base = 0.075M

no of mole of Base = (0.075mol/1000ml)×28ml = 0.0021mol

0.0021mole of monoprotic base react with 0.0021mole of monoprotic acid, so

no of mole of monoprotic acid = 0.0021mol

b)

Answer

178.57g/mol

Explanation

Formula weight = Mass/no of mole

Formula weight of acid = 0.375g/0.0021mol

   = 178.57g/mol

c)

Answer

6.0

Explanation

at half equivalence point

   pH = pKa

   half equivalence point = 0.014L

from graph, pH corresponding to 0.014L is 5.90

d)

Answer

6.12

Explanation

From graph , initial pH = 3.40

-log[H+] = 3.40

[H+] = 3.98×10^-4M

dissociation of monoprotic acid is

HA <------> H+ + A-

Ka = [H+] [A-]/[HA]

[H+] = [A-]

[HA] = 0.21 - 0.000398

Ka = (0.000398)^2/0.2096

= 7.56×10^-7

pKa = 6.12