Final answer:
The balanced chemical equation for the reaction between potassium carbonate (K2CO3) and aluminum iodide (AlI3), which leads to the formation of a precipitate, is 3 K2CO3(aq) + 2 AlI3(aq) → Al2(CO3)3(s) + 6 KI(aq).
Step-by-step explanation:
When aqueous solutions of potassium carbonate (K2CO3) and aluminum iodide (AlI3) are combined, a precipitation reaction occurs. The balanced chemical equation for this reaction is as follows:
3 K2CO3(aq) + 2 AlI3(aq) → Al2(CO3)3(s) + 6 KI(aq)
This equation represents the double displacement that occurs during the reaction, leading to the formation of aluminum carbonate, a solid precipitate, and potassium iodide, which remains in the aqueous phase. The equation reflects the stoichiometry that three moles of potassium carbonate react with two moles of aluminum iodide to yield one mole of aluminum carbonate and six moles of potassium iodide.