Answer
$pKa=4.86$
Work Step by Step
$[H_3O^+]=10^{-3.44}=3.63\cdot10^{-4}\ M=[A^-]$
$K_a=[H_3O^+][A^-]/[HA]$
$K_a=(3.63\cdot10^{-4})^2/0.0096$
$K_a=1.37\cdot10^{-5}$
$pKa=4.86$
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