From: richalivingston@gmail.com   
      
   On Wednesday, August 3, 2022 at 1:29:34 AM UTC-5, Jen wrote:   
   > Hi   
   >   
   > inside a sphere buried within a elastic ideal medium at pressure P1 I   
   > create a variation of pressure of dP. What variation dPx I would measure   
   > if the sphere was buried in a medium at pressure P2 using the same   
   > energy? Is it possible to solve this problem?   
   >   
   > Sorry I'm not a physicist   
   >   
   > Thank you   
   >   
   > Jen   
      
   Jen,   
      
   There is not enough information to give a complete answer, or perhaps   
   I don't understand exactly what you are describing.  If by "elastic ideal   
   medium" you mean an ideal gas, and by "a sphere buried within" you   
   mean a bubble (i.e. no shell or balloon skin that would affect the size   
   and stiffness of the sphere) then the problem is no different than an   
   ideal gas in a cylinder being held a constant pressure.  However in   
   that case the pressure would remain constant as the volume of the   
   bubble increases.  That is, you would not be able to increase the   
   pressure.   
      
   If instead you mean a rapid ("instantaneous") increase in pressure   
   inside the sphere, then the work would be dW = VdP, where V is the   
   initial volume of the bubble.  But then the bubble would start to   
   expand until its pressure returned to the ambient.   
      
   If by "elastic ideal medium" you mean a solid, then you must know   
   the stiffness of the solid as the spherical hole will expand somewhat   
   as the pressure is increased.  That expansion will take some work   
   (energy).   
      
   I'm not sure if any of that is a useful answer to you.  Depending on   
   exactly what your problem is this can be quite complicated.   
      
   Rich L.   
      
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