The pH and conductance of a weak acid (HX) was found to be 5 and 4 × 10^-5 S, respectively. The conductance was measured under standard condition…

The pH and conductance of a weak acid (HX) was found to be $\displaystyle 5$ and $\displaystyle 4 \times 10^{-5} \mathrm{~S}$, respectively. The conductance was measured under standard condition using a cell where the electrode plates having a surface area of $\displaystyle 1 \mathrm{~cm}^2$ were at a distance of $\displaystyle 15$ cm apart. The value of the limiting molar conductivity is $\displaystyle \_\_\_\_$ $\displaystyle \mathrm{S} \mathrm{m}^2 \mathrm{~mol}^{-1}$. (nearest integer) (Given : degree of dissociation of the weak acid $\displaystyle (\alpha) \ll 1$ )