eesmith parent
I provided links. It's how propane-powered fridges work. And it was a homework problem in thermodynamics class.
Since this discussion is still active, I think hwillis was the only one that got my idea. Pumping heat into the radiators will make them hotter then they would be by just passive conduction, and then the T^4 radiation scaling means that the radiators will start radiating a lot, i.e. a lot of heat will be sent into deep space.