Precipitation Reaction: Any reaction that produces an insoluble solid (called a precipitate) when two solutions are mixed is called a precipitation reaction.
Example: When sodium sulphate solution is mixed with barium chloride solution, a white insoluble precipitate of barium sulphate is formed.
Balanced Chemical Equation:
$$\text{Na}_2\text{SO}_4(aq) + \text{BaCl}_2(aq) \rightarrow \text{BaSO}_4(s) + 2\text{NaCl}(aq)$$
The white precipitate of BaSO₄ is formed by the reaction of SO₄²⁻ and Ba²⁺ ions. Sodium chloride remains dissolved in the solution.
Source: Chapter 1, Section 1.2.4 Double Displacement Reaction
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