How do I separate a mixture of liquids?

Answer 1

If they are homogenous (miscible), you can use distillation or try to freeze one of them out. Neither technique is perfect; the removed material is not 100% pure. Repeated applications may be necessary

Answer 2

If they are not miscible and form two phases then these can be physically separated using a separating funnel.

http://en.wikipedia.org/wiki/Separating_funnel

There are other methods if there are very small amounts of the liquids.