A solubility curve is a graphical representation that shows how the solubility of a solute (the substance being dissolved) in a solvent (the substance in which the solute is dissolved) varies with temperature.
In the context provided, the definitions can be summarized as follows:
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Unsaturated solution: This is a solution where more solute can still be dissolved in the solvent. In this state, the concentration of the solute is less than its solubility limit at a given temperature.
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Saturated solution: This is a solution that contains the maximum amount of solute dissolved in the solvent at a specific temperature. At this point, the solution is in equilibrium, meaning that any additional solute added will not dissolve.
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Supersaturated solution: This refers to a solution that contains more solute than can normally be dissolved at a given temperature. This state is generally achieved by dissolving solute at a higher temperature and then allowing the solution to cool without crystallization occurring.
The solubility curve illustrates these concepts by showing the amount of solute that can dissolve in the solvent at varying temperatures, with saturation points indicated on the curve.
Therefore, from your description, the solubility curve is a visual tool that helps to understand how temperature affects solute solubility and identifies the differences between unsaturated, saturated, and supersaturated solutions.