The solubility of \( \mathrm{CaCO}_{3} \) is \( 7 \mathrm{mg} \) /litre. Calculate the solubilit...

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The solubility of \( \mathrm{CaCO}_{3} \) is \( 7 \mathrm{mg} \) /litre. Calculate the solubility product of \( \mathrm{BaCO}_{3} \) from this information and from the fact that when \( \mathrm{Na}_{2} \mathrm{CO}_{3} \) is added slowly to a solution containing equimolar concentration of \( \mathrm{Ca}^{+2} \) and \( \mathrm{Ba}^{+2} \), no precipitate is formed until \( 90 \% \) of \( \mathrm{Ba}^{+2} \) has been precipitated as \( \mathrm{BaCO}_{3} \).
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