Level of condensing temperature

[Peter_1]

Perhaps a silly question… compressor increases pressure of the superheated gas and increases therefore also its temperature so that the gas becomes hotter than outside and we then can condense with ambient air. Its internal energy increases.
But which phenomena, which natural law let’s the increasing pressure/temperature stops at the condensing temperature pressure? What happens physically in the gas so that it no further increases to a higher level then it stabilise on its high pressure level?
Is it right to say that the ambient air reduces the internal energy whereby the temperature of the gas drops and resulting then also the according pressure?

When the liquid subcools after full condensation, is it correct to say that the dropping temperature while subcooling also lets drops slightly (theoreticallly) its pressure? I never saw this in theoretical books explaining the refrigeration cycle.

[seanf]

Is the increase of internal energy by the compressor not limited by the state of the refrigerant already in the condenser (maybe not for every compressor type), and then in the condenser do you not only really have heat transfer and changes in density that affect the pressure?

Do they not say that the change in density is very small when you start to subcool? sure I've read that somewhere, maybe it was on saturated water tables.

[Peter_1]

Is the increase of internal energy by the compressor not limited by the state of the refrigerant already in the condenser (maybe not for every compressor type), and then in the condenser do you not only really have heat transfer and changes in density that affect the pressure?

Do they not say that the change in density is very small when you start to subcool? sure I've read that somewhere, maybe it was on saturated water tables.

Change in density is indeed small but nevertheless, even if small, there will be a small pressure drop and I wondered how much that will be