Calculating Oxygen Leakage from a Balloon

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SUMMARY

The discussion focuses on calculating the rate of oxygen leakage from a balloon with a circular hole of 3 millimeters in diameter. The primary equation referenced is 1/4 nAv, where 'n' represents the number of molecules per volume and 'A' is the area of the hole. Participants express difficulty in determining the values for 'n' and 'v', as well as understanding the influence of pressure differential on the leakage rate. A clear understanding of these variables is essential for accurately calculating the oxygen escape rate in atoms per second.

PREREQUISITES
  • Understanding of gas laws, specifically the ideal gas law.
  • Familiarity with the concept of molecular density and its relation to volume.
  • Basic knowledge of calculus for solving differential equations.
  • Experience with physics principles related to pressure differentials.
NEXT STEPS
  • Research the ideal gas law and its application in calculating molecular density.
  • Study the principles of fluid dynamics, particularly regarding flow through orifices.
  • Learn about pressure differentials and their effects on gas leakage rates.
  • Explore advanced mathematical techniques for solving differential equations related to gas flow.
USEFUL FOR

Students in physics or chemistry courses, educators teaching gas laws, and anyone interested in fluid dynamics and gas leakage calculations.

fball558
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leaking air??

Homework Statement



Suppose we make a circular hole 3 millimeter in diameter in a balloon. Calculate the initial rate at which oxygen escapes through the hole (at 0° C), in number of oxygen atoms leaving the balloon per second.


Homework Equations



i used 1/4 nAv where n = number of molecules / Volume


i did not know the n or the v for this problem so did not attempt it completely :(
 
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Isn't there any dependence on the pressure differential across the leak hole?
 


I am having trouble with this problem as well. Using that equation I only know that A=(pi*3^2) but don't know how to get v or how to solve for the rate of leakage (atoms per second). Any help would be appreciated.
 

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