Calculating Air Compliance & Cylinder Volumes with Weight

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The discussion focuses on calculating air compliance and cylinder volumes in relation to weight and pressure. It addresses whether the compliance of a spring can be compared to a specific volume of air, concluding that gases exhibit compressibility rather than compliance. The second part of the discussion seeks to derive an equation for the volume reduction in a cylinder when a weight is applied to a piston. Participants suggest using the compressibility equation to determine how much pressure the weight exerts on the air in the cylinder. The conversation emphasizes the importance of showing calculations for further insights.
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1. Can the compliance of spring be specified/compared to a particular volume of air. If so then what would the volume of air with the same compliance as a spring of compliance 1mm/N on its support.

2. Considering a cylinder(filled with air under standard conditions) with a piston(radius = r) at one end, can the volume of the cylinder be calculated if the volume reduces by (v') when a weight (w) is placed on the piston. What would the equation be.
 
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Hi BSatish, welcome to PF. Only condensed matter can exhibit a certain compliance. Gases exhibit a certain http://en.wikipedia.org/wiki/Compressibility" .
 
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Thanks Mapes, your answer resolves question 1 and gives me a platform to work on question 2.
Using the compressibility equation I think Q.2 can be worked out. How much pressure would weight (w) apply on the air in the cylinder.
 
If you show your calculations, you'll likely get useful comments.
 
As you can see in the attachment I need to find h considering a cylinder and standard conditions
 

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