1. The problem statement, all variables and given/known data An inflatable membrane is filled with an ideal gas at a pressure of 0.3 bar gauge. The gas is at 40 deg C and the volume of the membrane is 100m^3. The membrane is constrained on all sides and bottom, and a force of F acts on the top of the membrane. The material the membrane can be considered non-elastic. What is the increase in pressure inside the membrane due to the external force? 2. Relevant equations Pressure=Force/Area 3. The attempt at a solution I am not looking for a numerical solution, just clarifying the relationship between the external force and the pressure inside the membrane. The pressure exerted by the external force is Force/Area.....however is this the total contact surface of the membrane or the area of the section the force is being applied to? If the material is to be considered non-elastic then there can't be an increase in pressure as there isn't any decrease in volume inside the membrane....ideal gas law. However if the material were elastic, what would the relationship be? I would greatly appreciate any help with this problem.