Okay, after rereading it I notice that my original post is a little lacking in detail, so let me form it into a more concrete problem:
Say that there's a sphere of radius R surrounded by empty space but fill with gas X and at temperature T. What is the total power emitted to the surrounding space and what are the relevant properties of the gas?
I assume that any possible answer is bounded by the power emitted by a blackbody of the same size, but how is the actual power related to the properties of the gas?
Now, turning it up a notch, say there's is a finite mass M of the gas normally distributed with standard deviation S. What is the total emitted power from the mass when seen very far from the center?