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Gas Distribution

  1. Dec 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A planet has mass, 2 x 1022 kg, and radius, 2 x 106 m. Initially, its
    atmosphere contains gas particles of various masses. If the gas is at temperature, 400 K,
    and has a Maxwell-Boltzmann velocity distribution, what mass of particle will typically
    escape from the planet’s gravitational pull? (Hint: You can just use the average velocity,
    you don’t need to consider the full Maxwell-Boltzmann distribution).

    2. Relevant equations
    vrms=sqrt(3kbT/m)
    P(v)=v^2*e^(-0.5mv^2/kbT)


    3. The attempt at a solution

    I have no clue at all
    Please help me
     
  2. jcsd
  3. Dec 12, 2009 #2
    wait i got it.. thx
    the vrms was the escape velocity
    hahaha XD
     
  4. Dec 14, 2009 #3
    Im having problems with this problem too can you tell me how you got it?
     
  5. Dec 15, 2009 #4
    escape velocity v=sqrt2GM/ R
    you need to use this velocity for maxwell-boltzmann speed distribution:
    2GM/r= 3kT/m
    you can find m from here.
    I hope that helps:))
     
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