Sean Henry wrote:So after the candles were put out did both rooms cool at the same rate or did the one with the flower pot cool slightly slower?
To be honest, after 30 minutes of having the house that cold, my wife wanted the heater back on. So, I didn't do any further measurements. But I can infer, from the facts on hand, what the answer to your question would have been had I left the rooms to their own accord:
Yes, the rooms would have lost heat at the same rate as they normally do. Since there is a fixed amount of energy stored per unit of wax of the candles, and that the candles release that energy through combustion at the same rate regardless of whether they are burning a pot or not (and I have no reason to believe that this would not be true), then we can say that there was an equal amount of energy released into the rooms in the 30 minute period. The fact that, at a distance, I detected the same temperature rise in both rooms, tells me that the flower pot released as much energy as it absorbed during the period. What I can now infer is that had I let the rooms go any further, that the flower pot would not have had any significant energy to continue heating the room. In fact, I know that it was about 5 minutes after I blew out the candles that I was able to pick the flower pots back up with my hand and take them down to the basement. They were not quite room temperature at that point, but cool enough that It was comfortable for me to touch. And at that point, there is not enough energy left in the mass to heat the room to any degree.
But feel free to try the experiment your self!