Final answer:
The aqueous solution with the greatest number of ions is 0.1 M CaCl₂ (calcium chloride), which dissociates into Ca²+ and 2Cl¯ ions for a total particle concentration of 0.03 M.
Step-by-step explanation:
When determining the number of particles in a solution, it's important to consider whether the solute is an ionic compound that dissociates in water or a neutral molecule that remains intact. In this case, the aqueous solution with the greatest number of ions would be option B) 0.1 M CaCl₂ (calcium chloride). Calcium chloride dissociates into Ca²+ and 2Cl¯ ions, resulting in a total particle concentration of 0.03 M. The other options, A) 0.1 M NaCl (sodium chloride) and C) 0.1 M KNO₃ (potassium nitrate) will have lower particle concentrations because they only produce one cation and one anion each.