I have an exhaust fan in my bathroom, and it exhausts into the attic. If I take a shower and forget to turn the fan on, the mirror fogs up. If I remember to turn the fan on, the mirror doesn't fog up. The door to the bathroom is kept closed, and there is a good seal at the door frame. So what is happening? If the exhaust fan were a perfect positive displacement device and I ran it with the door closed, the pressure within the room would start dropping, and would continue to drop until I turned the fan off or opened the door. But this doesn't happen. So I have to conclude that the fan is not a perfect positive displacement device. All fans have a so-called fan characteristic such that the net flow rate discharged by the fan is a function of the fan speed and the pressure differential across the fan. If the fan is run dead ended, the pressure differential is such that there is no net discharge flow. What's happening is that, when there is a pressure differential (higher at the outlet than the inlet), gas from the discharge side backflows to the inlet side through a fraction of the cross section. When the fan is dead ended, the back flow is equal to the base fan discharge with no pressure differential, and the net flow is zero. Back to my bathroom. The exhaust fan discharges air to the attic, but it also creates a pressure differential (a little lower pressure in the bathroom than in the attic), and this allows some backflow from the attic into the room (through a portion of the fan cross section). The net result is a flow of air from the attic to the bathroom, and an equal flow of air from the bathroom to the attic. This purges the humid air from the room, and replaces it with drier attic air. So the humidity in the bathroom stays lower and doesn't fog up my mirror.