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Numerical on adiabatic expansion

  1. Apr 27, 2012 #1
    An ideal gas with g =1.5 is expanded adiabatically. How many times has the gas to be expanded to reduce the rms velocity of molecules 2 times?
     
  2. jcsd
  3. Apr 27, 2012 #2

    haruspex

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    rms speed = √(3kT/m), where k is the Boltzmann constant and m the mass of one molecule.
    So to halve the speed you need 1/4 of the absolute temperature.
    For adiabatic process, T.V[itex]^{γ-1}[/itex] = constant
    With γ = 1.5 you'd need 16 times the volume.
     
  4. Apr 28, 2012 #3
    Thanks for your help. It was great solving the problem.
     
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