Answer: C. \(\text{BaSO}_4\) is insoluble, so it forms by precipitation. To make a pure sample by precipitation, mix two soluble starting materials so that the unreacted excess and the soluble by-product stay in solution, leaving only \(\text{BaSO}_4\) as the filtered residue.
Option C: \(\text{H}_2\text{SO}_4 + \text{Ba(NO}_3)_2 \rightarrow \text{BaSO}_4 (\text{s}) + 2\text{HNO}_3\). Both starting materials are soluble; the by-product \(\text{HNO}_3\) is soluble. Filter, wash, dry → pure \(\text{BaSO}_4\).
A and D involve insoluble starting materials — barium oxide (\(\text{BaO}\)) and barium carbonate (\(\text{BaCO}_3\)) — which would contaminate the residue. Note that barium oxide is not directly soluble in water as BaO: it reacts with water to give barium hydroxide \(\text{Ba(OH)}_2\), which is only sparingly soluble. B leaves \(\text{BaSO}_4\) mixed in solution with excess barium hydroxide \(\text{Ba(OH)}_2\) — crystallisation can't separate them since \(\text{BaSO}_4\) doesn't dissolve to crystallise.
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