A separation module and method are disclosed for processing a liquid sample and providing high conversion by operating a single-pass tangential-flow process without a recirculation loop. In one embodiment, the separation module includes three reservoirs and has at least one long, thin channel with a large ratio of channel membrane area to: channel void volume; volume of a sample feed reservoir; and volume of the feed sample. In another embodiment, the separation module includes two reservoirs and a hydrophobic vent. The single-pass process provides high conversion while operating with relatively low pressure sources.