JeffG:
Wasn't what you said. With a pressurized vessel (ie tank) will always displace the same amount of water regardless of how much gas is in it. Its buoyancy will change becuase the weight of the tank becomes less as you consume the gas durning the dive.
But if I just repeated myself I would be giving you a bigger target...
JeffG:
Then you would be wrong. The gas in both the drysuit and the BCD are under the same ambient pressure. The only way there could be a difference is if you create a situation where your BC or Drysuit becomes a pressurized vessel (ie filling it beyond ambient pressure.)
I've done some reading on the subject. For pneumatic envelopes such as balloons (not the rubber kind) and parachutes it is referred to as a 'wrinkled state'. So untill the BC or drysuit is completely unwrinkled, the equations I gave above wouldn't come into play.
However, try this out...
P1 x V1 = P2 x V2 = K, where P1 and P2 are the external pressures acting on the drysuit or BC and K is some constant.
Initially, the starting pressure in either the drysuit or BC is equal to the ambient (or external) pressure, so P1 = Pe, for the depth the diver is at.
Then P1 x V1 becomes K = Pe x V1. (eq'n 1)
Now add a burst of air (to either the drysuit or BC), represented by delta_P. This is equivalent to decreasing the depth until P2 = Pe - delta_P. Substituting this into P2 x V2 yields K = (Pe - delta_P) x V2. (eq'n 2)
Equate eq'n 1 and eq'n 2:
Pe x V1 = (Pe - delta_P) x V2, and solve for V2: V2 = (Pe x V1)/(Pe - delta_P)
Then the change in volume is delta_V = V2 - V1 = (Pe x V1)/(Pe - delta_P) - V1 which can be simplified to
delta_V = (delta_P/(Pe - delta_P)) x V1.
So the change in volume depends on the initial volume of the drysuit or BC (and the amount of air added and ambient pressure, obviously). So unless the drysuit and BC have the same initial volume, the change in bouyancy will be different. If there is a flaw in my logic or my math, then point it out.
Cheers,
Bill.