In my quest to find info on how hot the compressed air is at the transfer port, I found this article. It is lengthy, but I found the info I wanted in the last few sections. The calculated numbers after conversion for this particular subject rifle was around 1900 degrees F with over 2600 PSI air pressure.
https://www.researchgate.net/publication/274638905_Internal_Ballistics_of_Spring_Piston_Airguns
https://www.researchgate.net/publication/274638905_Internal_Ballistics_of_Spring_Piston_Airguns