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Temperature plays a large role in determining a substances solubility. Generally the hotter the solvent the greater the ability to dissolve a compound, however this isn't always the case an example being calcium phosphate (chemical that makes up your teeth).

In addition the presence of other substances can alter solubility. For example the present of NaOH in water lowers the solubility of NaCl in that solution due to the common ion effect. Since the Na+ cation has limited solubility in the solvent water a solution already containing the ion will not as easily solvate the solid. In another example is Mg(OH)2 is more soluble in acidic solutions and less soluble in basic solutions due to formation of MgCl2 which is more soluble and water.

If the solute is dissolved in a solvent that is miscible with another solvent with greater or less polarity, the dissolution of the solid is effected. For example the parafin of candle wax is dissolved into acetone such that it forms a saturated solution. Acetone has a somewhat strong dipole but the overall molecule is fairly nonpolar, at least when compared with water. Parafin is exceedingly insoluble in water and mixtures of acetone with greater water content exhibit less solubility for the parafin. By taking the saturated solution of acetone/parafin and slowly adding water to dilute the acetone, solid parafin will be forced to precipitate because the solvent is no longer able to dissolve as completely.

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