To determine which options will increase the solubility of a solute, let's analyze each one:
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Cooling the solution: This generally decreases the solubility of most solutes, particularly solids in liquids. (Not applicable)
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Increasing the surface area of the solute: This increases the rate of dissolution, leading to more solute dissolving eventually. (Applicable)
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Stirring the solution: Stirring increases the contact between the solute and solvent, which generally increases the rate of dissolution. (Applicable)
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Heating the solution: For most solids, heating the solution increases solubility, while for gases it's the opposite. (Applicable for solids)
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Decreasing the surface area of the solute: This would slow down dissolution and not increase solubility. (Not applicable)
Based on this analysis, the options that will increase the solubility of a solute are:
- Increasing the surface area of the solute
- Stirring the solution
- Heating the solution (for solids)