A method for separating liquids is disclosed. A feed stream is passed into a separator. The feed stream comprising an organic compound, carbon dioxide, and oxides selected from the group consisting of sulfur oxides, nitrogen oxides, ozone and combinations thereof. A portion an organic-rich stream is separated from a portion of an inorganic-rich stream through separation by gravity. The organic-rich stream contains a portion of the organic compound and a first portion of the carbon dioxide. The inorganic-rich stream contains a portion of the oxides and a second portion of the carbon dioxide.