# Physics

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Temperature of a diatomic gas is 300k. If the moment of inertia of its molecules is 8.28*10^-38 gm-cm^2. Calculate their root mean square angular velocity.

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• Physics -

I=8.28•10⁻³⁸ g•cm²=8.28•10⁻⁴⁵kg•m²,
I=2mr²/3 =>
r=sqrt{3•I/2m}
Root mean square speed v =sqrt{3kT/m}.
v = ωr.
Angular root mean square speed
ω=v/r= =sqrt{2kT/I} =
=sqrt{2•1.38•10⁻²³•300/8.28•10⁻⁴⁵}=

• Physics -

Thanks, Elena...

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