When 100.0 mL of a weak acid was titrated with 0.09381 M NaOH, 27.63 mL were required to reach the equivalence point. The pH at the equivalence point was 10.99. What was the pH when only 19.47 mL of NaOH had been added?
millimoles of NaOH added = 0.09381 x 27.63 = 2.592
2.592 millimoles acid must be present.
2.592 = M x 100.0
M = 0.02592 M
[acid] = 0.02592 M
after equivalence point reached
[salt] = 2.592 / 100 + 27.63 = 0.0203 M
pH = 1/2 [pKw + pKa + logC]
10.99 = 1/2 [14 + pKa + log 0.0203]
21.98 = pKa + 12.31
pKa = 9.67
millimoles of NaOH added = 19.47 x 0.09381 = 1.826
2.592 - 1.826 = 0.766 millimoles acid left
1.826 millimoles salt formed
[acid] = 0.766 / 100 + 19.47 = 0.0064 M
[salt] = 1.826 / 119.47 = 0.0153 M
pH = pKa + log [salt] / [acid]
pH = 9.67 + log [0.0153] / [0.0064]
pH = 10.05
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