For a sparingly soluble,strong electrolyte salt,the following equilibrium is established in a saturated solution:
$AgIO_{3(s)} \rightleftharpoons Ag^+_{(aq)} + IO_{3(aq)}^-$
At a certain temperature,the solubility product of $AgIO_3$ is $K_{sp} = 1.0 \times 10^{-8}$. The molar mass of $AgIO_3$ is $283 \ g \ mol^{-1}$. What is the mass of $AgIO_3$ in $100 \ mL$ of its saturated solution?

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