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The temperature near the floor of a room is about 68.7 F. The temperature near the ceiling 77.2F. What is the difference in density of the air at the top and bottom of the room? (Hint: assume that the volume and pressure is the same, if you like, you can take the volume to be 1L and the pressure to be 1atm, but if you think carefully you may realize that this is not necessary.)

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