Ok, so because you get more thermal energy to a degree Kelvin across a phase change than elsewhere, the fluid has to go through a smaller temperature cycle in terms of degrees than if you were doing it elsewhere. I assume this smaller temperature change makes it easier on the compressor, since it has to change the nRT value less, and so has to change the PV value less, so it has to increase the pressure less. I hope this is the right way of thinking about it. It's nice to know it's not strictly necessary, I just might need more powerful components if I don't use a phase change.
You want a phase change, because it means you can use the heat of enthalpy.
https://en.wikipedia.org/wiki/Enthalpy
It takes energy to cause a liquid to become a vapor-- this is the enthalpy.
Interesting, I usually only think of enthalpy in the context of chemical reactions, but I guess it can be applied to other state changes too.
If you compress this vapor, it will force the heat to leave so that it can condense again. Ideally, you want a substance that is liquid at room temperature and pressure, but which evolves into a gas rapidly as the temperature rises. This allows you to exploit the phase change.
But doesn't the compression increase the heat too? Or do you mean that it makes it easier for the heat to leave in the condenser or radiator?
ninja edit:
A vacuum pump variation, using water with an antifreeze agent (like isopropyl alcohol), would allow you to still use phase changes.
You would want to prevent the refrigerant from freezing in the line, but you DO want it to boil in there freely. The gas pulled from the vacuum line would be getting pushed into the compressor chamber, to force recondensation.
It would then be effective down to the freezing temperature of the refrigerant. (which, if you add the antifreeze to, could be very cold indeed.)
Ah, so you mean instead of making the pressure cycle atmospheric pressure-high pressure, make the pressure cycle low pressure-atmospheric pressure, which pushes the cycle lower down the state diagram to where the gaseous state of water is more accessible. Interesting idea.
Thanks a lot for all your help so far, guys!