Brain bleach, anyone?
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but as long as we know that no heat is added and no work is done on the system, then we know that the system energy is unchanged.
As long as energy is unchanged, all we need are the final pressures and volumes to determine the final temperatures.
Consider this: Put an evacuated/empty receiving tank inside the donor tank. Open the valve of the receiving tank to let in the gas of the donor tank. Can you predict what will happen?The heart of the issue continues to be that you really have no idea what's going on here. Seriously. No one can explain "why they disagree" with you, other than to point out that you are wrong. As a logic professor in college used to say "Error has no defense."
No way I'm reading everything you just posted above closely, because it starts out wrong from the get go...
We agree on this. To achieve compression, the compressor had to do work.FIRST: The air coming out of the compressor is heated because is has been compressed.
Agreed. It has to do with taking energy out of the wall, using that energy to do mechanical work to run the compressor (push the piston of the compressor down) to add energy to the gas. Some of the stored energy shows up as pressure and some as temperature. Since the process is reversible we can take back the energy, and if we do, the gas cools off by expansion and we have the energy we extracted. If we just let the gas suddenly expand (free expansion or Joule expansion) then that energy is left in the gas and appears as heat, so the gas doesn't cool off.Has nothing to do with taking heat from the electricity coming out of the wall.
Agreed.I could run the compressor in a walk-in freezer hooked up to an exercise bike and the air that is compressed would still be warmer than the ambient temperature at which it started.
There's something - You had to do work to push down the pump. You added energy. Again, some was stored as pressure, some as heat. (As an aside - notice how similar heat is to pressure. Heat results from the average motion of the molecules, while pressure also results from the molecular motion. The difference is that heat energy is also stored in vibrations and rotations of the molecules, while pressure only comes from the translational motion (XYZ motion) of the molecules. )Go grab a bicycle pump, hook it up to a tire, give it one compression. Feel the wall of the pump. It's warm. No electricity, no engine, no nothing.
Agreed. No heat is added in any of the processes we are talking about (filling with compressor or filling with another tank). They are all "adiabatic processes" which just means no heat was added or subtracted.Just compression. Yes, energy from your arms was expended. But the heat is created from the compression of the gas, not the warmth of your muscles.
You are wrong. Think about the case of the tank placed inside the donor tank. The gas is expanding into the empty space of the donor tank regardless of where the donor tank is placed. I agree this is the source of our disagreement. The gas starts out in the donor tank and ends up in the donor tank plus the receiving tank. I don't see any way to call that compression. It's not. It's expansion, and it's what has bugged me for years whenever I tried to get this resolved. Until we agree on something as fundamental as the starting and final volume of the gas, we won't get anywhere.SECOND: The air does NOT NOT NOT NOT NOT "expand into the receiving" tank.
We agree that during the process, some gas arrives in the receiving tank, and that as has expanded. We agree that after that expansion, it get recompressed. The problem is that it always gets compressed less than it expanded. It has to be the case if the final volume is going to be greater.The air is COMPRESSED into the receiving tank. What causes this compression? The pressure of the gas remaining in the donor tank pushes the gas into receiving tank until the two tanks equalize.
Again, we agree that when the receiving tank has reached 1 atm, the gas in that tank is getting compressed. But that gas started at the pressure of the donor tank before it decompressed to 1 atm. When it ends up, it will at higher pressure than 1 atm, and lower pressure than the donor tank. Since the gas started in the donor tank, the entire process is expansion and decompression.Again, if this was not the case, you would not be able to transfill the tank, because you would not be able to get more than 1atm/14psi into the tank without compressing the gas.
Ask him what happens to compressed air when you open the valve of a tank. It expands and decompresses. That happens even if it ends up in another tank.I just ran this concept past my 8yr old son. His response? "Duh..."
I'm not sure if we agreed - but I'm convinced that the donor tank is storing energy in the compressed gas (yes, I've seen a tank rupture) and when we let some of that gas out into the receiving tank, some of that energy is carried into the receiving tank. I don't claim that any energy is added to the entire system (donor plus receiving tanks)Because the air is compressed into the receiving tank it warms up. Just that same as if it came from a compressor, a bike pump, or any other manner you can find to get more than 1atm of air into the tank. In your words above, the pressure gradient of the gas in the donor tank "adds energy" to the gas in the receiving tank.
Actually, we agree on this! The source of the heat we see in the receiving tank is from the stored energy in the donor tank.In fact, the 3,000psi of energy stored in the donor tank came from a compressor at some point. That "compressor energy" is stored their as 3,000psi of pressure. When you open the valve that energy - that was initially transferred to the donor tank from a compressor - is then transferred to the receiving tank.
It's frustrating to have this simple point be the sticking issue. The gas that ends up in the receiving tank started at a higher pressure and ended up at lower pressure. I'd say it's simple, but obviously it's not . The gas that stayed in the donor tank also ended up at lower pressure, but the two gases changed temperature in opposite directions. My question was "why?"You're so worried about entropy and enthalpy and formulas that you're completely missing the obvious, fundamental flaw in your thinking: You believe that the gas going into the receiving tank is expanding. It is not. It is being compressed.
No. If we know that energy has not changed, we can figure out the effect on pressure and temperature if the volume changes. It's actually simpler than adiabatic heating and cooling (where energy does change). If energy is unchanged, the temperature is unchanged and PV is constant.So the premise of this thought {energy is unchanged} is essentially "...if we know that nothing has changed, then we can conclude nothing has changed."
I'm willing to consider the process in two steps - first the gas expands into the receiving tank, then it gets compressed in the receiving tank, but when we do that, we still end up with net expansion for all gas, not compression.
We agree that different parcels of gas go through different PVT changes during the process, but as long as we know that no heat is added and no work is done on the system, then we know that the system energy is unchanged. As long as energy is unchanged, all we need are the final pressures and volumes to determine the final temperatures.
Yes, it's as simple as that. Except.....
Years ago this was the answer I kept getting. It seems reasonable, but the first thing that made me question it was that I watched an oxygen tank being filled. It was required by law to be evacuated to make sure there wasn't an explosive gas in there that would react with the high pressure oxy. The tank still got hot, even when started at vacuum empty. Later I worked through the math. Adding some room temp air to the tank at the start does add some heat to the process due to its compression, but not near enough to account for the total heating.Dude - the receiving tank is NOT empty. It has 1atm/14psi in it at sea level.
It's not irrelevant since the same process is at work. If the evacuated tank gets hot (and it does - I've felt it) then the non-evacuated tank also gets hot.If you put one more molecule of gas into it... you must compress that molecule and every other molecule already in the tank. What would happen if you used a hypothetical "evacuated tank" as the receiving tank is irrelevant.
To say that the other gas going into the tank "gets compressed" is to ignore the fact that the "other gas" started at higher pressure. Once the gas going into the evacuated tank reaches 1 atm, it has expanded from its original high pressure.But, just to play along with that nonsense, as soon as the "evacuated tank" reaches 1atm/14psi... any other gas that goes into that tank MUST MUST MUST MUST MUST be compressed. There is no other way around this fact.
Yes. I will happily write down the equations.Okay, then please answer this question with one word, yes or no. Do you accept the fact that air gets warm when you compress it?
I wouldn't describe it quite like this. Even if the donor tank and all the valves are well insulated, the gas remaining in the donor tank itself will cool as it expands. I'd also say that the reason it cools is that it is doing work. What work is it doing? It's pushing the gas going into the receiving tank and getting it up to speed. We could have extracted the energy that was given to that gas by running the gas through a turbine generator or a pneumatic motor. If we had, the gas in both tanks would have cooled. Because we didn't, the gas in the receiving tank got more of the energy than the gas in the donor tank, even though they both expand and both are at the same final pressure.Of course the laws of conservation of energy and matter apply. In the bank fill operation, the expanding gas absorbs energy (heat) from the matter in and around the doner tank, primarily the controlling valve and that part of the system gets cool.
Again, I don't agree with this description. Thermodynamics laws don't allow the gas to extract energy from the room temperature tank and valve, so the gas never has any excess energy. The total energy is unchanged. However, the compressed gas of the donor tank has internal energy (in the form of both pressure which is derived from the XYZ motion of the gas and its internal vibrations and rotations). That internal energy can be released as kinetic energy (speeding up the molecules leaving the tank) and that kinetic energy can be transformed into heat as the molecules slam into the walls of the receiving tank.When the gas is again compressed into the receiving tank it sheds that excess energy (heat) and the receiving tank gets warm. By law, the heat gain and losses are equal.
. . . the first thing that made me question it was that I watched an oxygen tank being filled. It was required by law to be evacuated to make sure there wasn't an explosive gas in there that would react with the high pressure oxy. The tank still got hot
To say that the other gas going into the tank "gets compressed" is to ignore the fact that the "other gas" started at higher pressure. Once the gas going into the evacuated tank reaches 1 atm, it has expanded from its original high pressure.
Yes. I will happily write down the equations.