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
  $1.0 \times 10^{-4} \, g$