Final answer:
Without the solubility data of glycerol at the given conditions, we cannot definitively classify the solution as unsaturated, saturated, or supersaturated. We might qualitatively describe the solution as concentrated due to the large amount of glycerol used, but this is not a precise classification.
Step-by-step explanation:
When a solution contains less solute than its solubility limit at a given temperature and pressure, it is known as an unsaturated solution. In contrast, a saturated solution is one in which the maximum amount of solute has been dissolved. If you are able to dissolve even more solute by changing the conditions (such as heating) and then cool it down without precipitating the solute, you have created a supersaturated solution.
If 500 grams of glycerol has been dissolved in water without any specification of the amount of water or whether any glycerol remains undissolved, we do not have enough information to determine if the solution is unsaturated, saturated, or supersaturated. To determine the state of the solution, we would need to know the solubility of glycerol in water at the relevant temperature and compare it to the amount dissolved. In the absence of this information, one could tentatively classify the solution as concentrated based on the amount of glycerol relative to the water, but this assumption is purely qualitative without specific solubility data.