A medical or dental device for dispensing a powdered medium with a container having a container interior space. The container can be connected to a compressed gas source to convey the powdered medium together with the compressed gas out of the interior space, and to a dispensing unit, so that the powdered medium is conveyed with the compressed gas to the dispensing unit. The container comprises: a wall, and a bottom that is connected to the wall and has at least one bore through which compressed gas from the compressed gas source can be conducted into the interior space. A swirl plate made of a porous material is provided at the bottom. Compressed gas can be conducted through the porous swirl plate into the interior space to aerate at least a portion of the powdered medium without conveying the powdered medium out of the interior space to the dispensing unit.