Electrochemistry

For a salt XY, which is a strong electrolyte, the plot of $\Lambda_{\mathrm{m}}$ versus $\sqrt{\mathrm{c}}$ has a slope of $-90.0 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-3 / 2} \mathrm{L}^{1 / 2}$ at 298 K . At 0.01 M concentration of $\mathbf{X Y}$, the value of $\Lambda_{\mathrm{m}}$ is $145.0 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$. The limiting molar conductivity of $\mathbf{Y}^{-}$ion $\left(\lambda_{\mathbf{Y}^{-}}^0\right.$, in $\left.\mathrm{S} \mathrm{cm}^2 \mathrm{~mol}^{-1}\right)$ at 298 K will be

(Given : $\lambda_{\mathrm{X}^{+}}^0=74.0 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}$ )