The solubility product of a sparingly soluble salt A_2 X_3 is 1.1 × 10^-23. If specific conductance of the solution is 3 × 10^-5 S m^-1, the limiting…

The solubility product of a sparingly soluble salt $\displaystyle \mathrm{A}_2 \mathrm{X}_3$ is $\displaystyle 1.1 \times 10^{-23}$. If specific conductance of the solution is $\displaystyle 3 \times 10^{-5} \mathrm{~S} \mathrm{~m}^{-1}$, the limiting molar conductivity of the solution is $\displaystyle x \times 10^{-3} \mathrm{~S} \mathrm{~m}^2 \mathrm{~mol}^{-1}$. The value of $\displaystyle x$ is \_\_\_\_.