Kinda a weird physics question, I can explain it, but I can't really find the solution.

Briefly, I want to replace some bottles rated to be used under a certain gas pressure with some other bottles, rated for use in a centrifuge, at a certain g.

For more specifics, the bottles filled with a solution and attached to a manifold under argon at a pressure of 4-6 psi. (Sorry for non-SI units, we can fix that later.) A valve releases liquid and the pressure allows dispensing. This is, in fact, an oligonucleotide synthesizer.

I want to replace the standard glass bottles with a centrifuge bottle, because it has a conical bottom which saves reagents. Your average 100 mL Kimax glass centrifuge bottle has a g rating of 2000xg to 3000xg, depending on wall thickness.

Any one of those should handle any measly psi rating. So I'm done here, thread over, just buy it, Arkcon. Well, not so fast. I would like to be able to prove I haven't bought the wrong thing, and justify why I don't buy thicker walled for added strength, or do buy thinner walled, and save money. And this is also a fun logical problem to solve.

I did some Googling, and I found something on Yahoo. Basically, there is minimal connection between the two ways of measuring things. The g is a measurement of acceleration. PSI is easy, its a force per unit area. Problematical. OK, Yahoo says:

g=a

F=ma

psi=F*area

So that's how we will relate the two measurements.

Internal area I can try to figure out. FWIW I bought a couple already, and when they arrive, I can try to accurately determine internal area. But what will I use for m? Mass, of what? Of a certain volume of argon? That's trivial. Mass of the liquid, assuming its incomprehensible, under a certain psi of argon that will exert a force on the glass, is that it? But again, how to relate that mass, under pressure to a Force? This is getting circular.

Many times I've seen glassware rated for a certain psi just up and shatter unexpectedly. Other people have told me these stories too. So I really want to look at this carefully.