In a saturated solution of the sparingly soluble strong electrolyte \[AgI{{O}_{3}}\](molecular mass = 283) the equilibrium which sets is \[AgI{{O}_{3}}(s)\rightleftharpoons A{{g}^{+}}(aq)+IO_{3}^{-}(aq).\] 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 \[AgI{{O}_{3}}\] contained in 100 mL of its saturated solution?

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