Actually, I do not believe that was an error. I assumed that the reason there is an exponential decline is because there is less air remaining in the lungs. If the air in the lungs is expanding to match the rate of exhalation, there will be no net change in lung volume. The volumetric rate of exhalation, meanwhile, will be set by the delta in pressure from the lungs to the outside world, which is, of course, created by the muscles used to exhale.shakeybrainsurgeon:I can't argue with your logic, but you have made one error --- the rate of exhalation is not linear --- exhaled air = 0.7 lu/sec (suggesting that it takes less than 1.5 sec to dump all air from the lungs), but an exponential decline
Assuming the volume of the air is increasing at a sufficient rate to maintain constant lung volume while exhaling at the maximum rate, and ignoring breathing muscles' fatigue (which is outside the scope of this thread, if it's even been studied at all in this context), one could maintain a constant volumetric rate of exhalation without the exponential decline.
The key is that the volume of the lungs and the pressure gradient between them and the outside can both be held as constants assuming the rate of expansion is matched to the rate of exhalation, which it would be in the limiting case I was using to describe the upper bound. (The total volume of air exhaled may easily be *significantly* more than 1 Lu.)