This problem is providing 0.53 g as the mass of lithium acetate that is dissolved in 100 mL of water to make a solution; thus, asking for the resulting type of solution. Hence, since its solubility at 25 °C is about 45 g in 100 mL of water, one infers this solution will be unsaturated according to the following:
In chemistry, the physical limit to the solvation of a solute in a solvent is known as solubility; which is roughly defined as the maximum mass of solute one can completely dissolve into a solvent, without getting any precipitate (solid leftover).
In such a way, when we try to dissolve a mass of a solute, less than the solubility, the solution will be unsaturated, yet supersaturated if the dissolved mass exceeds the solubility and saturated if these two are approximately the same.
Thereby, since the solubility of lithium acetate in 100 mL of water at 25 °C is about 45 g, and the dissolved amount is just 0.53 g, the resulting solution will be unsaturated.
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