Calculate the concentration of `SO_4^(2-)` ions necessary to cause the precipitation of `BaSO_4 (K_(sp)=1.5xx10^(-9))` from solution of `BaCl_2` (0.5 M)

Explanation

To calculate the concentration of sulfate ions (\(SO_4^{2-}\)) necessary to cause the precipitation of barium sulfate (\(BaSO_4\)) from a solution of barium chloride (\(BaCl_2\)), we can follow these steps:

### Step 1: Write the dissociation equations
Barium sulfate dissociates in water as follows:
\[ BaSO_4 (s) \rightleftharpoons Ba^{2+} (aq) + SO_4^{2-} (aq) \]
Barium chloride dissociates in water as:
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