I am trying to experimentally determine the $\mathrm{p}K_\mathrm{a}$ of acetic acid by titrating sodium acetate with $\ce{HCl}$. The $\mathrm{pH}$ curve starts in the alkaline region (since sodium acetate is alkaline) and the equivalence point is acidic since at the equivalence point $\ce{CH3COOH}$ is present.
$\ce{CH3COO- + HCl -> CH3COOH + Cl-}$
So, from the half equivalence point : $\mathrm{pH} = \mathrm{p}K_\mathrm{a}$ (of acetic acid) or $\mathrm{pOH} = \mathrm{p}K_\mathrm{b}$ (of sodium ethanoate)
The literature value of the $\mathrm{p}K_\mathrm{a}$ of acetic acid at $\pu{25^{\circ} C}$ is 4.75. This means that my experimental half equivalence point should be around $\mathrm{pH}$ 4.75 which will NEVER be the case since during the titration till the equiv. point the curve lies on the basic region.
What am I doing wrong? Is there any chance the Henderson/Hasselbach equation won't apply ?