I'm sorry to bother the forum with this but a question came to my mind in a part of physics I have not studied thoroughly and the semester is over so I can't bother any physics professors right now and I've come to an assumption and I was curious if it was valid.

 

Say you have a solid body in space that is hot, it's excited molecularly. And it cools. Did the heat escape by emission of electromagnetic waves?

Yes, it does.

To give you a practical example:

http://www.pewclimate.org/global-warming-basics/facts_and_figures/greenhouse.cfm

The emitted power is given by the Stefan-Boltzmann equation