Time to Vacuum Fill a Rigid Building

[tullyNic]

Assume a rigid building(assume the building to be like a pyramid and its empty inside) to be vacuum.
If we open a hole(about r=.5m), then, how long will it take for the air to take up of the whole space apprximately?

Will, it's just curiosity because I found a little pump in a class room could result in fast moving air in the slit around the door...

Thank you..

If the condition is not specific enough, please tell me..

 

[mathman]

I won't be able to answer you directly. However you did leave out some important details. First, how big is the building? Second, where is it (on Earth - at what altitude?)?

 

[tullyNic]

... well... we can just assume it to be a orthoprism with length of 100m .
and emmm at north pole.

BTW, can you tell me why the altitude matters in this case ?
Thank you.~

 

[mathman]

BTW, can you tell me why the altitude matters in this case ?

Air pressure is a function of altitiude, so at higher altitudes the vacuum filling would take longer.