At $25^oC$ the specific conductance of a saturated solution of $AgCl$ is $2.68\times 10^{-4}Sm^{-1}$ and that of water with which the solution was made is $0.86\times 10^{-4}Sm^{-1}$.If molar conductances at infinite dilution of $AgNO_3,HNO_3$ and $HCl$ are respectively,$1.33$$\times 10^{-4},421\times 10^{-4}$ and $426\times10^{-4}Sm^2mol^{-1}$,calculate solubility of $AgCl$in grams per $dm^3$ in water at given temperature