Potential Energy of a bottle w/ pressure

AI Thread Summary
To calculate the potential energy of a 1-liter bottle under a pressure of 10^4 N/m^2 above atmospheric pressure, the relevant formula involves the work done by the gas, which is expressed as work = pressure × volume (PV). The discussion highlights a lack of direct formulas in standard resources for relating pressure and volume to potential energy. Participants suggest focusing on the work done by the gas as a means to approach the problem. The conversation emphasizes the need for clarification on the relationship between pressure, volume, and potential energy calculations. Understanding this relationship is crucial for solving the problem effectively.
fattydq
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I'm asked to calculate the potential energy of a 1 liter bottle with a pressure 10^4N/m^2 above atmospheric pressure.

I can't seem to find any formula in my book, or even through searching google extensively, that uses pressure and volume to calculate potential energy. Any ideas?
 
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The only thing I can think of is work done by gas = PV.
 
I'm sorry could you clarify what you mean
 
fattydq said:
I'm sorry could you clarify what you mean

The only thing I can see happening with those values is the work done by the gas inside the bottle = pressure * volume.
 
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