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Q. Temperature at which r.m.s. speed of $O_{2}$ is equal to that of neon at $300\, K$ is:

States of Matter

Solution:

$U_{rms}=\sqrt{\frac{T}{M_{w}}} T \propto M_{w}$
$\frac{T_{Ne}}{T_{o_2}}=\frac{20}{32}$
$T_{o_2}=480\,K$