The molar conductivity of a 0.01 M weak acid (HX) at 298K, measured in a conductivity cell with cell constant of $0.4 \mathrm{cm}^{-1}$, is $64.4 \mathrm{Scm}^{2} \mathrm{mol}^{-1}$. The limiting molar conductivities at infinite dilution of $\mathrm{H}^{+}$and $\mathrm{X}^{-}$at 298 K are 350 and $410 \mathrm{S} \mathrm{cm}^{2} \mathrm{mol}^{-1}$. Ignoring activity coefficients, the $\mathrm{pK}_{\mathrm{a}}$ of HX at 298K is ____ (Upto two decimal places)
Answer
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