For a sparingly soluble strong electrolyte $AgIO_3$ (molar mass = $283 \, g/mol$),the equilibrium in a saturated solution is given by $AgIO_3(s) \rightleftharpoons Ag^+(aq) + IO_3^-(aq)$. If the solubility product constant $K_{sp}$ of $AgIO_3$ at a given temperature is $1.0 \times 10^{-8}$,how many grams of $AgIO_3$ are contained in $100 \, mL$ of its saturated solution?

  • A
    $28.3 \times 10^{-2} \, g$
  • B
    $2.83 \times 10^{-3} \, g$
  • C
    $1.0 \times 10^{-7} \, g$
  • D
    $1.0 \times 10^{-4} \, g$

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