Final answer:
The precipitate formed when barium nitrate and sodium phosphate are mixed in water is barium phosphate, with the chemical formula Ba3(PO4)2.
Step-by-step explanation:
When barium nitrate (Ba(NO3)2) and sodium phosphate (Na3PO4) are mixed together in a water solution, a double displacement reaction occurs leading to the formation of a precipitate. The chemical reaction can be represented as:
3Ba(NO3)2(aq) + 2Na3PO4 (aq) → Ba3(PO4)2 (s) + 6NaNO3(aq)
The precipitate formed in this reaction is barium phosphate, with the chemical formula Ba3(PO4)2. This solid is produced because barium phosphate is relatively insoluble in water, which makes it precipitate out of the solution. Therefore, the most likely chemical formula for the precipitate is answer option c) Ba3(PO4)2.