Solid $Ba(NO_3)_2$ is gradually dissolved in a $1.0 \times 10^{-3} \ M \ Na_2CO_3$ solution. At what concentration of $Ba^{2+}$ will a precipitate begin to form? ($K_{sp}$ for $BaCO_3 = 5.1 \times 10^{-9}$)
- A$4.1 \times 10^{-5} \ M$
- B$5.1 \times 10^{-6} \ M$
- C$8.1 \times 10^{-8} \ M$
- D$8.1 \times 10^{-7} \ M$
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