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Numerical on adiabatic expansion

by naimagul
Tags: adiabatic, expansion, numerical
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naimagul
#1
Apr27-12, 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?
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haruspex
#2
Apr27-12, 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]^{γ-1}[/itex] = constant
With γ = 1.5 you'd need 16 times the volume.
naimagul
#3
Apr28-12, 08:57 AM
P: 10
Thanks for your help. It was great solving the problem.


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