Here's how to determine the number of particles in solution produced by one formula unit of potassium carbonate (K₂CO₃):

1. Identify the ions:

* Potassium carbonate dissociates in water into potassium ions (K⁺) and carbonate ions (CO₃²⁻).

2. Determine the number of each ion:

* The formula K₂CO₃ indicates that there are two potassium ions (K⁺) for every one carbonate ion (CO₃²⁻).

3. Calculate the total number of ions:

* One formula unit of potassium carbonate produces 3 ions in solution (2 K⁺ ions + 1 CO₃²⁻ ion).