Calculate PSI of Hollow Cube with Hole Opened

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Discussion Overview

The discussion revolves around calculating the pressure (psi) of a hollow cube structure after a hole is opened, leading to changes in volume and pressure dynamics. The scenario involves a hollow cube filled with air and a connected hollow cylinder, which is under vacuum conditions.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant presents a scenario involving a hollow cube with a specific volume and initial pressure, asking how to calculate the new pressure after a hole is opened.
  • Another participant questions whether the cylinder connected to the cube contains air at normal atmospheric pressure or is under vacuum.
  • A subsequent reply confirms that the cylinder is under vacuum, which simplifies the calculation process.
  • A later post suggests using Boyle's Law, stating that it can provide a solution quickly, especially given the vacuum condition in the cylinder.

Areas of Agreement / Disagreement

Participants generally agree on the vacuum condition of the cylinder, which simplifies the calculations. However, the overall method for calculating the new pressure remains open for further exploration and is not fully resolved.

Contextual Notes

The discussion does not clarify specific assumptions regarding the behavior of gases under changing volumes or the exact conditions of the hollow cube and cylinder system.

Who May Find This Useful

Individuals interested in gas laws, pressure calculations, and fluid dynamics may find this discussion relevant.

daviddjh
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Suppose you have a hollow cube with a volume of 504c3. The inside of the cube has a psi of 94 and is just air. Now suppose that a hole opened in the bottom of this cube with an area of 12.56cm2 that leads to a hollow cylinder that is 14 cm long with a radius of 2cm. Now how would you go about calculating the psi of this whole structure after the hole is opened, the air is released and the volume has changed.
 
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Does the cylinder contain air at normal atmospheric pressure, or is it vacuum?
 
Nugatory said:
Does the cylinder contain air at normal atmospheric pressure, or is it vacuum?
The cylinder would have a vacuum inside it
 
daviddjh said:
The cylinder would have a vacuum inside it

OK - that makes it easy. Boyle's Law, ##PV=c## where ##c## is a constant, will get you an answer in short order.

(Boyle's Law would still get you there if the cylinder weren't a vacuum, but it would be more work).
 

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