A microfluidic dispensing tap, such as for use in screening assays, includes a dispensing tube translatable within a sealed reservoir housing. The tube has an outer surface and defines an inner cavity open at a lower end of the tube, and a metering aperture extending through a side wall of the tube between the inner cavity and the outer surface to define a known volume. The tube is movable against a seal at a lower end of the reservoir housing between a first position, in which the metering aperture is disposed below the seal, and a second position, in which the metering aperture is disposed above the seal and exposed to the reservoir for entraining a discrete dose of a sample liquid within the aperture. An injector is configured to inject a known quantity of a diluent into the inner cavity of the tube and into fluidic contact with the dose of sample liquid in the aperture, such that the dose of sample liquid diffuses into the diluent to form a discrete mixture for dispensing from an open end of the tube.