Various embodiments disclosed relate to methods of separating volatile compounds from a liquid feed mixture comprising an emulsion. In various embodiments, the method includes contacting a first side of a first membrane with a liquid feed mixture including an emulsion having a polymer, and at least one volatile compound. The method can also include contacting a second side of the first membrane with a sweep medium including at least one a sweep fluid to produce a permeate mixture on the second side of the first membrane and a retentate mixture on the first side of the first membrane, wherein the permeate mixture is enriched in the volatile compound, and the retentate mixture is depleted in the volatile compound.