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If you were designing a room in a house, where would be the better place to...

If you were designing a room in a house, where would be the better place to put a heater, near the floor or near the ceiling? Why? Consider your answer in the context of convection.

Near the ceiling, because the air warmed by the heater would quickly spread down and across the room, replacing the cold air.
Near the floor, because the heater would warm the air close to it. After being heated, the now-warm air would rise, and be replaced by cool air, which the heater would warm. The cycle would continue until the room is heated.
Near the ceiling, because the heater would warm the air close to it. After being heated, the now-warm air would descend, and be replaced by cool air, which the heater would warm. The cycle would continue until the room is heated.
Near the floor, because the air warmed by the heater would quickly spread up and across the room, replacing the cold air.
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