And therefore adiabatic cooling is obviously a myth.!!!!!!
No, it's not a myth, but "adiabatic cooling" should really be called adiabatic reversible expansion cooling. If the expansion is not a reversible expansion, there is no cooling. That's exactly what Joule expansion is. "Adiabatic" just means that no heat is added. If you expand "reversibly", you must extract energy in the form of work from the compressed gas and the gas gets cold. If you leave that energy in the gas (in the form of heat), then it expands adiabatically, but you get no cooling. The gas remains at constant temperature during the expansion.
I'm sure you understand that "adiabatic heating" always requires that energy be added to the gas by doing work on it with a compressor. You have to account for that energy when the gas expands. It's got to go somewhere. It can go into heat, as in Joule expansion, or it can be captured and stored (and later used to run a compressor to return the gas to its original compressed state).
---------- Post added February 23rd, 2013 at 12:04 PM ----------
I haven't read all the posts, so this may have been covered. I would suggest googling the "refrigeration cycle" If you understand tank filling / gas transfer will hold few mysteries.
Can you explain further? Why does the gas that started in the donor/fill tank at high pressure and room temperature end up hotter after it has expanded into the scuba tank while the gas that remained in the donor fill tank and expanded got colder?
---------- Post added February 23rd, 2013 at 12:28 PM ----------
I really think the OP is getting confused because he's feeling the warmth of the tank being pressurized, but not feeling the cooling of the air being released from the original tank.
No, I've accounted for both. The scuba tank is filled with gas that is at a lower pressure than it started at. There's no way to get away from that. That's where I started. The air expands when it first enters the scuba tank, but it later gets compressed and the expansion is always greater than teh subsequent compression.
So he thinks that heat energy is being produced without an apparent source.
No. There's no energy being added. That's the important fact that others are missing. We added energy to compress the donor tank and now when that gas expands the energy being released is being ignored, as thought it was never added.
He also doesn't seem to get that the air from the donor tank first gets depressurized to near ambient (assuming the recipient tank is empty) before being pressurized to the final pressure.
See above. I even did the math on this.
He's feeling metal, not air. The air getting pressurized in the recipient tank remains in that tank, in contact with the metal of the tank.
The air in the scuba tank came from the donor tank. It started at some temp/pressure volume and ends up at another temp pressure volume. I was just trying to figure out why it did what it did - some got hot and some got cold even though both expand.
As I mentioned before and many others have explained ad nauseum, if you could measure the true amount of heat loss through expansion and heat gain through pressurization, in the air itself, not the containers, you'd have a net zero or minus.
I've been trying repeatedly to focus only on the gas, not on the containers. I agree 100% that no energy is added to the entire system (donor plus scuba tanks) and no heat is added. However, because of the arrangement of a whip connecting the tanks, the donor tank does work (pushes on the escaping gas, so it cools, while the scuba tank receives that energy and heats. I lso agree that for teh enetire system "you'd have a net zero" of heat gain or loss, but because the donor tank is doing work, it loses energy and the scuba tank gains energy. If we let them mix, then all the gas would be at room temp, but at a lower pressure.
But it is pretty fun in a banging-your-head sort of way to follow this thread!
You should be me
I've been asking myself and others the same question for years and I always get responses like this. The first few times I figured I must be missing something. But, it kept bugging me. I know the gas in both tanks expands, but the gas in the scuba tank ended up hotter while the gas in the donor tank ends up colder. I kept getting told that it was "just the same as when filled with a compressor," but a compressor has to be plugged into the wall and you have to add energy to make the gas hotter. Filling from another tank doesn't involve adding energy. Nothing gets plugged in.