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What does V(p) graph tell me?

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Hello,

Well I have all sorts of question, so let me start.
In school we had a project where we had to examine, actually predict when the balloon will explode. The following data may not be ideal, but here we go.
In the first attachment (graf1.jpg) you can see blue colored line p(t) and red colored line V(t).

If you ever tried to inflate a balloon with your own lungs than you are very familiar with the first high peak of pressure at the beginning. We all know that it is very hard to start inflating BUT is a lot easier to continue building up pressure till the explosion - the start is even a lot easier if the balloon was at least once inflated before! Are there any parameters that describe this? How? Why? Please help! :)

Than I have no idea to what V(p) tells me? What is dV/dp ? Please note that, it is really hard to determine volumes (we had to do determine the volume from a picture using integrals). For example: The volume of course should never REDUCE in the process (but it does at one or two points) - it just does not make any sense, but the measurements say what they say. Check second attachment for this.

THANKS TO ALL!

Attached Images
File Type: jpg graf1.JPG (40.7 KB)
File Type: jpg graf2.JPG (27.1 KB)

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