1 × 10^-5 M AgNO_3 is added to 1 L of saturated solution of AgBr. The conductivity of this solution at 298 K is ____ × 10^-8 S m^-1. [Given: K_SP (…

$\displaystyle 1 \times 10^{-5} \mathrm{M} \mathrm{AgNO}_3$ is added to $\displaystyle 1$ L of saturated solution of AgBr . The conductivity of this solution at $\displaystyle 298$ K is $\displaystyle \_\_\_\_$ $\displaystyle \times 10^{-8} \mathrm{~S} \mathrm{~m}^{-1}$. [Given : $\displaystyle \mathrm{K}_{\mathrm{SP}}(\mathrm{AgBr})=4.9 \times 10^{-13}$ at $\displaystyle 298$ K $$\begin{aligned} & \lambda_{\mathrm{Ag}^{+}}^0=6 \times 10^{-3} \mathrm{~S} \mathrm{~m}^2 \mathrm{~mol}^{-1} \\ & \lambda_{\mathrm{Br}^{-}}^0=8 \times 10^{-3} \mathrm{~S} \mathrm{~m}^2 \mathrm{~mol}^{-1} \\ & \left.\lambda_{\mathrm{NO}_3^{-}}^0=7 \times 10^{-3} \mathrm{~S} \mathrm{~m}^2 \mathrm{~mol}^{-1}\right] \end{aligned} $$