The first blank can be filled with distillation, which separates liquids based on their boiling points. The second blank can be filled with chromatography, which moves particles through a medium (such as a solid or gel) and separates them based on their movement speed or affinity for the medium.
So the complete sentence would be: "Distillation separates liquids based on their boiling points whereas chromatography moves particles through some kind of material that separates them by how fast they are moving."