I have a home theater room that I want to have a central air supply duct installed. Being that this is a home theater room, I do not want noise to escape and thus, will be installing a solid-core door with weather-stripping (i.e., no door with undercut at the bottom to allow air to escape). I also have a single-large return in the hallway. Here is my question:
With no return duct in that room and with the door closed, will the room get cool just by cold air entering it from the supply duct?