What would it take to build a cryogenic cooler?

[Shingoshi]

1.) How many BTUs/HR does this equal?
This is a needed value.
2.) How were you going to do this?
3.) This will need to be added into the total heat load.
4.) Since the compressors will be enclosed within this case, all the heat load from the compressors will have to be transfered to the outside. To figure out how much wattage that is, take the voltage mutiplied by the RLA and add 10%.

1.) That would have to be calculated. I've not seen any stats on the BTUs of heat output, because typically no one tries to rechill the heated gas leaving the vortex tube. Typically, it's just vented to the atmosphere. I need to first determine how low I can push the temperature of the inlet gas, before I can know at what point in the evaporation stream to cool the vortex tube's exhaust. If I do this in the wrong location, the cooling will be inhibited. But these are the numbers I have now for a typical vortex tube application:
pressurization inlet: 70F
heat outlet: 230F
cold outlet: -40F
A corresponding drop in inlet temperature will be seen in BOTH the heat and cold outlets. So if I can get the inlet temperature down to 0F using a heat-exchanger, BOTH of the outlet temperatures should drop by about the same amount.

The BTUs would have to be calculated based on the inlet pressure and flow rate in CFM to know what that number will be. I don't have that yet. I won't have the pressure and flow rates until I know for certain which compressors I will be using. The Danfoss compressors I was hoping to get are no longer available, again. I'm now looking for replacements. If I can figure out a way to use 230v, I've already found the compressor I could use.

2.) I'm running the exhaust heat from the vortex tubes through a heat-exchanger to pass that heat to the condenser.
3 & 4.) I plan on using the same kind of evaporators as used to be common in old freezers to cool the inside of the insulated computer case. I would rather build this system with an expected heat load of 2KW to be certain I have enough capacity to handle everything. I intend to use gel-packs from coolers to maintain the temperature, reducing the need for continuous cooling of the interior. Once the gel-packs are frozen, they will stabilize the interior temperatures more than if they weren't used at all. And the more packs used, the more stable the temperature.

Shingoshi