How Do You Calculate Flow Rate from a Spherical Balloon with a Hole?

[penpepper]

suppose there is an spherical balloon say 100 cu.m . The pressure difference between the air in it and surrounding air is 200N/m2 . If a hole of 1 sq.m is made what will be the flow rate from it. Of course the flow rate will decrease as the time progresses but how to determine it over a period of time??

 

[Astronuc]

Is this a homework problem? What equations apply?

1 m² is a BIG hole!

200 Pa is a very small differential pressure. 1 atm = 101325 Pa = 101.325 kPa = 0.101325 MPa or thereabouts.