A container and a method for handling and for treating a bio-compatible feeding liquid, or of a liquid for biological use, having an interior volume wherein the liquid is held and is distributed as a shallow layer of thickness. The feeding liquid, is disposed in contact with surface of the container having large areas. The numerical denomination of the areas may be larger than the thickness by at least 50%, or by one, two, three or more orders of magnitude. The large areas and the shallow thickness enhance rapid heat exchange between the liquid, and a fluid having a thermal capacity wherein the container is immersed. A through opening is disposed in the container for bidirectional liquid communication with the interior volume. The through opening may be coupled to a feeding bottle and to ancillary equipment.