Final answer:
The solution that results from dissolving 61.0 g of NH4NO3 in 50 mL of water at 60°C and cooling it to 0°C without any precipitate forming is supersaturated, as it contains more solute than the maximum solubility at 0°C. Option C is the correct answer.
Step-by-step explanation:
The question at hand involves the concept of solubility and the different types of solutions: unsaturated, saturated, and supersaturated. To address it, we must consider the solubilities given for NH4NO3 at different temperatures.
Initially, 61.0 g of NH4NO3 is added to 50 mL of water at 60°C. Since the solubility at 60°C is 205.8 g, all the solute will dissolve, creating an unsaturated solution. However, when this solution is slowly cooled to 0°C without any precipitate forming, it becomes supersaturated because the solubility at 0°C is only 59.0 g, and so the solution still contains more dissolved solute (61.0 g) than what is soluble at that temperature.
Therefore, the correct option for a solution obtained by adding 61.0 g NH4NO3 to 50 mL of H2O at 60°C and cooling to 0°C without any precipitate is (c) Supersaturated.