The conductivity of a saturated solution of $AgCl$ at $288 \ K$ is $1.382 \times 10^{-6} \ \Omega^{-1} \ cm^{-1}$. Find its solubility in $g \ L^{-1}$. The ionic conductivities of $Ag^+$ and $Cl^-$ at infinite dilution are $61.9 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ and $76.3 \ \Omega^{-1} \ cm^2 \ mol^{-1}$ respectively.

  • A
    $1.562 \times 10^{-6}$
  • B
    $1.382 \times 10^{-6}$
  • C
    $1.435 \times 10^{-3}$
  • D
    $1.482 \times 10^{-7}$

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