To the crowd who have never really studied the physics of a gas turbine:
You would be amazed at the temperature rise through the compressor - many thousands of internal shaft horsepower bucking up P and T across a dozen-to-twenty stages.
You would also be amazed at the P and T extracted by each turbine stage in driving each compressor or fan.
I'm speaking here of any high-bypass turbofan - PW4000, Trent, CF6, two-spool, three-spool...
That said, a pure turbojet (J58, J75, Olympus etc) runs relatively cool through its turbomachinery cycle. Only about 25% of the available oxygen is burned. The other 75% is available for the afterburner (OK,OK, augmenter or relight) to use. THAT'S where the real hot-hot temperature and velocity (exhaust diamonds and REALLY LOUD NOISE) come from. But that's ALL DOWNSTREAM of the turbine.
