In a saturated solution of the sparingly soluble strong electrolyte $AgIO_3$ (molecular mass $= 283$),the equilibrium which sets in is $AgIO_{3(s)} \rightleftharpoons Ag^+_{(aq)} + IO^-_{3(aq)}$. If the solubility product constant $K_{sp}$ of $AgIO_3$ at a given temperature is $1.0 \times 10^{-8}$,what is the mass of $AgIO_3$ 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
    $1.0 \times 10^{-7} \ g$

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$III$$8.2 \times 10^{-46}$
$IV$$5.0 \times 10^{-34}$

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