This will be a very basic question to anyone with the slightest knowledge of physics, but I haven't managed to Google anything up on my own.
Basically, I had an idea for a very basic air pressure based, non electrical refrigerator.
Wind or hydro turbine drives air pump / compressor forcing air into a plastic bottle with a valve at each end.
Energy dissipates through the bottle wall, pressure increases until release valve trips.
Air escapes into insulated refrigerator box, cooling as it expands.
Repeat.
Seems this would cost pretty much nothing to build (wind prop from bike parts and scrap, compressor from an old fridge or vacuum cleaner) and would give people free off grid cooling of food, vaccines, etc.
So my question is, what's the formula to figure what the temperature drop in the expanding air would be?
I made a prototype using a bike pump, but my thermometer is analogue and getting a precise reading on the air temp is proving tricky.
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