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Numerical on adiabatic expansion 
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#1
Apr2712, 03:05 AM

P: 10

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
Apr2712, 07:41 PM

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P: 9,873

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]^{γ1}[/itex] = constant With γ = 1.5 you'd need 16 times the volume. 


#3
Apr2812, 08:57 AM

P: 10

Thanks for your help. It was great solving the problem.



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