Solid $Ba(NO_3)_2$ is gradually dissolved in $1 \times 10^{-4} \ M \ Na_2CO_3$ solution. At what concentration of $Ba^{+2}$ will the precipitation of $BaCO_3$ start? (Given: $K_{sp}$ of $BaCO_3 = 5.1 \times 10^{-9}$)
- A$4.1 \times 10^{-5} \ M$
- B$5.1 \times 10^{-5} \ M$
- C$1.6 \times 10^{-4} \ M$
- D$8.1 \times 10^{-7} \ M$
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