Derek Cole explains why closing HVAC vents backfires: it forces air back into the ductwork, overworks the blower motor, and reduces efficiency. Closed vents also stop conditioning exterior walls, causing uneven temperatures. Air takes the path of least resistance, so blocking vents creates problems for your whole system.
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I would say no, don't do it, because what you're doing actually, you're closing the vent. If you have a split system or package unit, it doesn't really matter, but the air is now coming back in to the duct system, so the motor is having to work harder to get it pushed back out to where it needs to go versus where it's going to start with. Does that make sense? And also it's conditioning the house. So if you have a bedroom you don't use and say it's on the southwest wall, okay, it's trying to condition that wall. The purpose of heating and air is to condition those outside walls. So again, you're defeating that purpose as well. You walk in that room, it's a little hot or it's a little cold. It's not good. So if you close it off, it's going to push the air back into the duct system and then it's going to make the motor work harder to get it to where it needs to go. Because air is just like water, it's going to go to the easiest place it can get to. So if you're making it difficult, you're going to have challenges.