The solubility product of silver bromide $(AgBr)$ is $5.0 \times 10^{-13}$. How much potassium bromide $(KBr)$ (molar mass $120 \, g \, mol^{-1}$) should be added to $1 \, L$ of $0.05 \, M$ silver nitrate $(AgNO_3)$ solution to initiate the precipitation of $AgBr$?

  • A
    $5.0 \times 10^{-8} \, g$
  • B
    $1.2 \times 10^{-10} \, g$
  • C
    $1.2 \times 10^{-9} \, g$
  • D
    $6.2 \times 10^{-5} \, g$

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