The reaction between silver nitrate and potassium carbonate can be represented by the following equation:
2AgNO3 + K2CO3 -> Ag2CO3 + 2KNO3
In this equation, the silver ions (Ag+) from silver nitrate switch places with the potassium ions (K+) from potassium carbonate, forming silver carbonate (Ag2CO3) and potassium nitrate (KNO3).
The reaction between silver nitrate and potassium carbonate produces a white precipitate of silver carbonate. This precipitate can be filtered out of the solution, leaving behind a solution of potassium nitrate.