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Most probable speed of aluminium atoms 
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#1
Dec310, 02:26 PM

P: 25

1. The problem statement, all variables and given/known data
Aluminium atoms at 1173K enter a vacuum chamber. Calculate the most probable speed for the atoms. 2. Relevant equations v_{mp}=[tex]\sqrt{}[/tex](2kT/m) 3. The attempt at a solution The molar mass of aluminium is 0.0270kg mol^1, so v_{mp}=[tex]\sqrt{}[/tex](2*1.381*10^23JK^1)*1173K/0.0270kg mol^1=1.1*10^9ms^1 Which is a really tiny quantity and it seems unrealistic that particles at such a high temperature would move that slowly. I've used SI units though so I can't see where I would have gone wrong. Any help would be appreciated. Thanks 


#2
Dec310, 03:19 PM

HW Helper
PF Gold
P: 1,915

Alternatively, you can stick with the molar mass and substitute Boltzmann constant k with the gas constant R, since k = R/N_{A}. 


#3
Dec310, 03:37 PM

P: 25

Thanks, I've got it now



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