Calculate PSI of Hollow Cube with Hole Opened

[daviddjh]

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.

 

[Nugatory]

Does the cylinder contain air at normal atmospheric pressure, or is it vacuum?

 

[daviddjh]

Does the cylinder contain air at normal atmospheric pressure, or is it vacuum?

The cylinder would have a vacuum inside it

 

[Nugatory]

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).