I'm studying the systems on my first turbine-engine aircraft, specifically, a C208B.
I know that there is "bleed air heat" that mixes with re-circulated cabin-air. I know that the bleed air is compressed, and thus hotter than it would be in an ambient pressure. I also understand that if the compressed air were decompressed it would return to its original temperature or lower due to entropy in the compressed state.
Do these systems utilize heat exchangers much like a car's A/C system except they warm the uncompressed air entering the cabin and cool the compressed bleed air through a heat exchanger? Surely they cannot send actual bleed air directly into the cabin and have it remain hot because it would immediately decompress, right?
How do these systems typically work? How is it different between an uncompressed unpressurized and compressed pressurized cabin? I would think even a pressurized cabin would not retain enough internal pressure to maintain anything close to the heat level of the compressor air.