Ideal gas law: can you use it to find P during exsolution?

[@PinkGeology]

If you shake up a bottle of soda and it gets slightly larger because the disturbed gas in solution is trying to expand but cannot, could you use the difference in (THE SMALL AMOUNT THE BOTTLE ACTUALLY SWELLED) and the (POTENTIAL AMOUNT THE GAS WOULD SWELL IF NOT CONTAINED) to determine the pressure in the bottle?

e.g. PRESSURE = mRT/V ... where V is the tiny amount the bottle swelled and m = density_gas*V1 where V1 is the volume this exsolved amount gas would fill if not contained?

(and let's just pretend you knew how much gas exsolved when you shook it ... because we pretend in physics).

Or am I just barking up the wrong tree entirely? :)

 

[@PinkGeology]

By the way, I know the pressure would keep a certain amount of gas in solution regardless of what it "wanted" to do, but in my real problem (which seemed to annoying long and complicated to post here) the fluid will be ascending to a point above it's saturation pressure and have more freedom (although not total) to expand than soda in a bottle.