`20 mL` of `1.5 xx 10^(-5)` M barium chloride solution is mixed with 40 mL of `0.9 xx 10^(-5)` sodium sulphate . Will a precipitate get formed ? `(K_(sp) " for " BaSO_(4) = 1xx 10^(-10))`

Explanation

To determine whether a precipitate will form when mixing barium chloride and sodium sulfate solutions, we can follow these steps:

### Step 1: Write the Reaction
When barium chloride (BaCl₂) is mixed with sodium sulfate (Na₂SO₄), a double displacement reaction occurs, forming barium sulfate (BaSO₄) and sodium chloride (NaCl):
\[ \text{BaCl}_2 + \text{Na}_2\text{SO}_4 \rightarrow \text{BaSO}_4 \downarrow + 2 \text{NaCl} \]

### Step 2: Calculate the Total Volume of the Mixture
The total volume of the mixed solution is:
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