sorry with my limited knowledge i cant help you then mate, looks like a cheap air-con unit or some kind of heat exchange is your only option if your dead set on using that kind of power.

all i can suggest is looking at building a large scale version of what they use for hard core computer cooling, but thats basicly an air-con system anyway.

by the sound of it, you need to get the exhaust heat spread out, so maybe you could have multiple long exhust pipes....but in an apartment thts gonna be impossible.

a portble standalone air-con unit is your only option really.