A device for the exchange of heat between a first and a second medium with pairs of trays stacked one on top of the other in a stacking direction is provided, wherein a first flow chamber that can be flowed through by a first medium is provided between the two trays of at least one pair of trays or several pairs of trays and a second flow chamber that can be flowed through by a second medium is provided between two pairs of trays adjacent to one another, wherein the first flow chamber has first flow path with flow path sections that can be flowed through consecutively in opposite directions for the first medium, which are separated from one another by a division wall arranged between the at least two trays of the at least one pair of trays, and wherein the second flow chamber has a second flow path for the second medium.