Calculating Oxygen Leakage from a Balloon

In summary, the conversation discusses a problem involving a circular hole in a balloon and calculating the rate at which oxygen escapes through the hole. One person attempted to use the equation 1/4 nAv, but was unable to solve the problem due to not knowing the values for n and v. Another person mentions the potential dependence on pressure differential across the hole. Both individuals are seeking help to solve the problem.
  • #1
fball558
147
0
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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  • #2


Isn't there any dependence on the pressure differential across the leak hole?
 
  • #3


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.
 

1. How do you calculate the amount of oxygen that leaks from a balloon?

To calculate the oxygen leakage from a balloon, you need to know the volume of the balloon, the pressure inside the balloon, and the duration of time it takes for the balloon to deflate. You can then use the ideal gas law (PV = nRT) to calculate the number of moles of oxygen that escaped. The number of moles can then be converted to a mass or volume measurement.

2. What factors can affect the rate of oxygen leakage from a balloon?

The rate of oxygen leakage from a balloon can be affected by several factors, including the material of the balloon, the temperature of the surrounding environment, and the initial pressure inside the balloon. These factors can impact the elasticity of the balloon and the rate at which air molecules can escape through the balloon's surface.

3. Is there a way to prevent or minimize oxygen leakage from a balloon?

While it is not possible to completely prevent oxygen leakage from a balloon, there are some measures that can be taken to minimize it. Using a thicker and more elastic material for the balloon can reduce the rate of leakage. Additionally, keeping the balloon at a stable temperature and avoiding sharp objects can also help to reduce leakage.

4. How accurate are calculations for oxygen leakage from a balloon?

The accuracy of the calculations for oxygen leakage from a balloon can vary depending on the precision of the measurements and the assumptions made in the calculation. However, with careful measurements and consideration of all factors, the calculations can provide a relatively accurate estimation of the amount of oxygen that escapes from a balloon.

5. Can the calculations for oxygen leakage from a balloon be applied to other gases?

Yes, the calculations for oxygen leakage from a balloon can be applied to other gases as long as the ideal gas law is applicable. However, keep in mind that the rate of leakage may vary depending on the properties of the specific gas being used.

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