exchemist
Valued Senior Member
Thanks for the idea. However I don't think I buy it. I think one should be able in principle to do the compression quasi-statically and avoid kinetic effects (for example by allowing the seawater in through an arbitrarily small nozzle, or something). It seems to me the total thermodynamic energy balance of this should not depend on the "kinetics", i.e. variable losses like this, friction etc.Stop Press:
OK I think I now know where the discrepancy lies. When the piston is suddenly released there is initially little resistance from the air inside. Consequently there is a rapid buildup of inrush KE that has not been factored in. All along the assumption was of a quasi-static compression where only an exchange of PE's in involved. Which is not realistic.
So you will have to work out the added KE resulting in a final higher compression than expected till now. Because it is dynamical there would normally be a bounce back somewhat, which can in principle be obviated by a one-way camming action say. Regardless, the final correct calculations must be consistent with zero net change over a cycle.
No, there's got to be something fundamental that I've missed, or else it is in the arithmetic. But where?