In a saturated solution of the sparingly soluble strong electrolyte ${\mathrm{AgIO}}_3$ (molecular mass = 283) the equilibrium which sets is

${\mathrm{AgIO}}_3 \left(\mathrm{s}\right) \rightleftharpoons {\mathrm{Ag}}^{+} \left(\mathrm{aq}\right) + {\mathrm{IO}}_3^{-} \left(\mathrm{aq}\right)$

If the solubility product constant $K_{SP} of AgI{O}_3$ at a given temperature is $1.0 \times {10}^{-8},$ what is the mass of ${\mathrm{AgIO}}_3$ contained in 100 mL of its saturated solution ?

• A

  $28.3 \times {10}^{-8} g$

• B

  $28.3 \times {10}^{-3} g$

• C

  $1.0 \times {10}^{-7} g$

• D

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