Final answer:
The rapid cooling of an impure benzoic acid solution in an ice-water bath will result in the formation of pure benzoic acid crystals.
Step-by-step explanation:
When impure benzoic acid is dissolved in hot water and then rapidly cooled in an ice-water bath, the result is the formation of crystals of pure benzoic acid. This is because cooling the solution quickly does not allow enough time for impurities to incorporate into the growing crystals. As a result, the impurities are left behind in the solution, while the pure benzoic acid crystallizes out.