In: Chemistry
The pKa of hypochlorous acid is 7.530. A 58.0 mL solution of 0.101 M sodium hypochlorite (NaOCl) is titrated with 0.332 M HCl. Calculate the pH of the solution
a) after the addition of 6.90 mL of 0.332 M HCl.
b) after the addition of 18.8 mL of 0.332 M HCl.
c) at the equivalence point with 0.332 M HCl.
millimoles of NaOCl = 58 x 0.101 = 5.858
pKa = 7.530
a)
millimoles of HCl = 6.90 x 0.332 = 2.2908
OCl- + HCl ---------------> HOCl
5.858 2.2908 0
3.567 0 2.2908
pH = pKa + log [salt / acid]
= 7.530 + log [3.567 / 2.2908]
pH = 7.72
b)
millimoles of HCl = 18.8 x 0.332 = 6.2416
OCl- + HCl ---------------> HOCl
5.858 6.2416 0
0 0.3836 5.858
here strong acid reamins.
[H+] = 0.3836 / (18.8 + 58) = 4.99 x 10^-3 M
pH = -log [H+] = -log (4.99 x 10^-3)
pH = 2.30
c)
At equivalence point.
volume of HCl = 17.64
here weak acid remains.
concentration of HOCl = 5.858 / (58 + 17.64) = 0.0744 M
pH = 1/2 (pKa - log C)
= 1/2 (7.530 - log 0.0744)
pH = 4.32