Okay. A couple of people have recognized that a standard 80 is actually 77.4 cubic feet at 3000 psi, not 80 cubic feet.
The other assumptions that were made are that the air in the tank is an ideal gas with zero humidity, that the expansion is isothermal and that it is all done at 0 C (32 F).
How many of you have your tanks filled in a freezer? Tanks are generally filled in the non-airconditioned back room or external shed from the dive shop and the tanks get hot when they are filled. A tank that is filled to 3000 psi at 0 C is actually overfilled by nearly 10% at room temp and by about 20% at typical tank fill temperatures.
If the compressor has a good water separator and desiccant filter, the air should be fairly dry, but any humidity will make the air lighter in weight by volume.
A scuba tank will not actually expand isothermally. While the tank is in a water bath, it still takes 15 to 20 minutes for the air temperature inside the tank to get close to an equilibrium state. The average drain time on a scuba dive is around 40 to 50 minutes. So, the expansion will be between isothermal and adiabatic predictions, the main variables being the rate of the tank draining and the temperature of the water. Rest assured though, the tank will be colder than the surrounding water at the end of the dive, so there will not be a direct relationship between pressure and moles of gas content (i.e. - weight) remaining in the tank. Diving in the tropics? That scuba tank sitting out in the sun will be hot. Now put it in the ocean and cool it down. You can see a noticeable pressure drop in the tank. How much weight has left the tank? None.
There's not good way to account for the variations of air and the ideal gas prediction except to use direct measurements. A room temperature standard 80 will shift by 4.4 pounds according to measurements, between 3000 and 500 psi (isothermal). Take into account the normal hot state of the tank at the time of the fill and the actual non-isothermal expansion during the dive and the actual weight shift is usually a little less than that. This is why I personally use 4 pounds for my round number estimate.
So,
@The Chairman 's formula is going to predict a weight shift that is probably on the order of 20% high of what will likely be the actual weight shift someone will encounter. That's not likely to be an issue for someone diving with a BC unless they are diving really massive quantities of air. But it's good to know the assumptions and likely errors in the formulas you are using to make predictions. Being off by 20% can be an issue for a minimalist or vintage style diver.