Question
Solid Ba(NO3), is gradually dissolved in a 1.0 × 10-4 M Na2CO3 solution. At what concentration of Ba2+ will a precipitate begin to form.(Ksp for BaCO3 = 5.1 × 10-9)

Answer

$\text{BaCO}_3(\text{s})\rightleftharpoons\text{Ba}^{2+}+\text{CO}^{2-}_{3}$
$\text{Na}_2\text{CO}_3\xrightarrow{\ \ \ \ \ \ \ \ }2\text{Na}^++\text{CO}^{2-}_3$
$[\text{Na}_2\text{CO}_3]=1.0\times10^{-4}\text{M}$
$\text{K}_{\text{sp}}=[\text{Ba}^{2+}][\text{CO}_3^{2-}]$
$5.1\times10^{-9}=[\text{Ba}^{2+}][1\times10^{-4}\text{M}]$
$\text{[Ba}^{2+}]=\frac{5.1\times10^{-9}}{1\times10^{-4}}$
$=5.1\times10^{-5}\text{M}$
At 5.1 × 10-5M concentration of [Ba2+], I.P(ionic product) will become equal to Ksp and precipitate will begin to from.

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