What are different methods used to separate mixtures?
Some methods include: distillation, crystallization and chromatography.
Distillation of two liquids can be used to separate a solution of two liquids that have different boiling points. Example: Distilling an ethanol water solution to produce a more highly concentrated ethanol which could be used as a fuel additive or a higher proof alcohol.
Crystallization removes a solute from solution by returning it to its solid state. Example: Crystallizing a sugar solution to make rock candy.
Here is a video which discusses the chromatography technique.