A aqueous solution contains an


A aqueous solution contains an unknown concentration of $\mathrm{Ba}^{2+}$. When $50 \mathrm{~mL}$ of a $1 \mathrm{M}$ solution of $\mathrm{Na}_{2} \mathrm{SO}_{4}$ is added, $\mathrm{BaSO}_{4}$ just begins to precipitate. The final volume is $500 \mathrm{~mL}$. The solubility product of $\mathrm{BaSO}_{4}$ is $1 \times 10^{-10}$. What is the original concentration of $\mathrm{Ba}^{2+}$ ?

  1. $2 \times 10^{-9} \mathrm{M}$

  2. $1.1 \times 10^{-9} \mathrm{M}$

  3. $1.0 \times 10^{-10} \mathrm{M}$

  4. $5 \times 10^{-9} \mathrm{MS}$

Correct Option: , 2


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