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

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SUMMARY

The discussion centers on calculating the flow rate from a spherical balloon with a volume of 100 cubic meters and a pressure difference of 200 N/m². A hole of 1 square meter is introduced, prompting questions about the flow rate over time. The participants note that the size of the hole is significant and that the pressure differential is relatively small compared to atmospheric pressure, which is approximately 101,325 Pa. The conversation highlights the need for specific equations to model the flow rate as it decreases over time.

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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??
 
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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.
 

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