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Gas Leaks through a hole

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data

    Suppose we make a circular hole 4 millimeter in diameter in a balloon. Calculate the initial rate at which oxygen escapes through the hole (at 0° C), in number of helium atoms leaving the balloon per second.


    2. Relevant equations
    # of molecules/second =(1/4) (Number of molecules/Volume)A(average velocity)


    3. The attempt at a solution
    Number of molecules - 6.02e23
    Volume = .0224 m^3
    A=pi*r^2=pi*(.002)^2=1.2566e-5
    v=sqrt(3kT/m)=sqrt((3*1.38e-23*273.15)/(16/6.02e23))=425.479

    (1/4)(N/V)Av=3.59e22 atoms/s

    I did this, but it was wrong, any ideas?
     
  2. jcsd
  3. Apr 20, 2011 #2
    i dont expect anyone to see this post but anyway the average velocity v=sqrt(3kT/m) in the equations is wrong..its <v>=sqrt(8kT/pi*m)..
     
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