Chemistry Question from JEE Main 2023 · 1 February, Shift 2

$1 \times 10^{-5}$ M AgNO$_3$ is added to $1 \text{ L}$ of saturated solution of AgBr. The conductivity of this solution at $298 \text{ K}$ is _____ $\times 10^{-8}$ S m${}^{-1}$.

Given:

K$_{sp}$(AgBr) = $4.9 \times 10^{-13}$ at $298\text{K}$

$\lambda^0_{Ag^+}$ = $6 \times 10^{-3}$ Sm${}^{2}$ mol${}^{-1}$

$\lambda^0_{Br^-}$ = $8 \times 10^{-3}$ Sm${}^{2}$ mol${}^{-1}$

$\lambda^0_{NO_3^-}$ = $7 \times 10^{-3}$ Sm${}^{2}$ mol${}^{-1}$