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Solid \( \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2} \) is gradually dissolved in a \( 1.0 \times 10^{-4} \mathrm{M} \mathrm{Na}_{2} \mathrm{CO}_{3} \) solution. At which concentration of \( \mathrm{Ba}^{2+} \), precipitate of \( \mathrm{BaCO}_{3} \) begins to form ? \( \left(K_{s p}\right. \) for \( \mathrm{BaCO}_{3} \) \( \left.=5.1 \times 10^{-9}\right) \)
(a) \( 5.1 \times 10^{-5} \mathrm{M} \)
(b) \( 7.1 \times 10^{-8} \mathrm{M} \)
(c) \( 4.1 \times 10^{-5} \mathrm{M} \)
(d) \( 8.1 \times 1^{-7} \mathrm{M} \)
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