Electrochemistry

The mole conductivity of acetic acid solution at infinite dilution is $390 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$. What is the molar conductivity of 0.01 M acetic acid solution (in $\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-1}$ )?

(Given $K_a\left(\mathrm{CH}_3 \mathrm{COOH}\right)=1.8 \times 10^{-5}$, assume $1-\alpha=1$ )