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At what temperature is the root mean squ...

At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the r.m.s. speed of a helium gas atom at `-20^(@) C` ? (Atomic mass of Ar = 39.9 u, of He = 4.0 u).

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Given that `(V_(rms))_(Ar)=(V_(rms))_(He)`
`sqrt((3RT_(ar))/(N_(ar)))=sqrt((3RT_(He))/(M_(He))), sqrt((3RT_(ar))/(40))=sqrt((3R(253))/(4))`
`(T)/(40)=(253)/(4)rArrT=2530K`
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