Silly question, why is high pressure air needed? As long as everything is kept cold no pressure builds up.
Yes but you can cheat on the condensing temperature by raising the pressure. If you can get to around -235 F or colder at about 500 PSI the nitrogen will condense. Then its just a matter of reducing the pressure once enough liquid is created and letting it boil off and further cool itself. It will save on a lot of additional equipment and power if you dont have to cool it all the way down with an external system. Just get it far enough to condense then let physics do the rest. Simple thermodynamics in action!
Would this setup work, I have a de-humidifier that pulls the wetness out of the air which turns into dryair which then is fed through a insulated box with a peltier stack which then makes liquid air. If this would work what wattage would the peltiers be and how many?
Sort of. You would need a lot of peltier coolers set up in several layers to get it to work. Theoretically a peltier cooler will go down to absolute zero temperature wise but a single unit can only make a limited temperature differential by itself.
Plus being they have about 35% efficiency as coolers for every one on one stage there needs to be three on the stage above that. Multiply that by 8 stages (50 degrees per stage with a 400 degree temperature change) and you have a lot of individual coolers working all together to create one very large temperature differential.
stage one. 1 cooler - coldest
stage two. 3 coolers
stage three. 9 coolers
stage four. 27 coolers
stage five. 81 coolers
stage six. 243 coolers.
stage seven. 729 coolers.
stage eight. 2187 coolers. - warmest.
So as you can see their becomes a problem at some point as to realistically how many stages and how many coolers you can actually fit and power on your device.
The colder you can make your starting point and the hotter you can make your condensing point makes a huge difference in how many stages you need.
If you can start out using a good mechanical heat pump like that in an air conditioner you can get about -35 F as a reliable starting point temperature. if you can run your condensing chamber at 500 PSI you only need -235 F to get liquid nitrogen to form. Given you then only have a 200 degree temperature differential that just needs four stages of peltier coolers.
Thats realistically doable!
There are more details of course but still this gives you an idea of whats involved.