You have to calculate Ka values at both points. But both should be roughly equal, otherwise something wrong in collecting the data or reading the graph.
Ignore what I wrote earlier. In this I am giving you complete answer using ICE table.
MW of ascorbic acid = 176.13
Moles of HA added = 0.8994/176.13 = 0.005106
At the first point:
Before titration:-
Total volume = 50 ml + 4.00 ml = 54 ml
[NaOH] = moles of NaOH/total volume = 0.40 M * 4.00 ml/54 ml
[NaOH] = 0.02963 M
Moles of HA = initial moles of HA - moles of NaOH = 0.005106 - 0.40 * (4.00 * 10^-3)
Moles of HA = 0.003506
[HA] = 0.003506 moles/(54 ml) = 0.003506/(54*10^-3)
[HA] = 0.0649 M
HA --------> H+ + A-
0.0649 0 0 (I)
-x +x +x (C)
0.0649-x x x (E)
x = [H+] = 10^-pH = 10^-3.7 = 2.00 * 10^-4 = 0.0002
[A-] = x + [NaOH] = 0.0002 + 0.02963 = 0.02983 M
[HA] = 0.0649 - x = 0.0649 - 0.0002 = 0.0647 M
Ka = [H+] [A-]/[HA] = 0.0002 * 0.02983/0.0647 = 9.2 * 10^-5
At the second point:
Before titration:-
Total volume = 50 ml + 9.00 ml = 59 ml
[NaOH] = moles of NaOH/total volume = 0.40 M * 9.00 ml/59 ml
[NaOH] = 0.06102 M
Moles of HA = initial moles of HA - moles of NaOH = 0.005106 - 0.40 * (9.00 * 10^-3)
Moles of HA = 0.001506
[HA] = 0.001506 moles/(59 ml) = 0.001506/(59*10^-3)
[HA] = 0.0255 M
HA ---------> H+ + A-
0.0255 0 0 (I)
-x +x +x (C)
0.0255-x x x (E)
x = 10^-pH = 10^-4.5 = 3.1623 * 10^-5 M
[A-] = x + [NaOH] = 3.1623 * 10^-5 + 0.06102 = 0.0611 M
[HA] = 0.0255 - x = 0.0255 - 3.1623 * 10^-5 = 0.02547 M
Ka = [H+] [A-]/[HA] = (3.1623 * 10^-5) (0.0611) / 0.02547 = 7.59 * 10^-5
Edited by akhl - 13 years ago
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