absporbing and emitting heat

[ChrisBaker8]

I'm doing an experiment to measure the Stefan Boltzmann constant with two small copper discs, one normal copper and one with a painted black surface. Both are covered with a a heated container and the termperature of the discs electronically measured. The black disc's temperature rises at a fairly constant rate, then tails off after a temperature rise of about 10 degrees. For the normal disc, a rise of 5 degrees was measured in the same time period and didn't tail off.

My question is had I allowed more time for the normal disc, would it have reached the same temperature as the other did and then tail off, or will this temperature be different?

[ideasrule]

If the heated container is maintained at exactly the same temperature and the disc is in contact with only the container, both discs must eventually reach thermal equilibrium with the container. It seems, from your description, that the discs aren't completely inside the container. In that case, conduction comes into play and it's hard to say what will happen without doing the experiment.