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The temperature of a gas consisting of r...

The temperature of a gas consisting of rigid diatomic molecules is `T = 300 k`. Calculate the angular root mean square velocity of a rotating molecule if its moment of inertia is equal to `I = 2.1.10^-39 g.cm^2`.

Text Solution

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`K.E.` asscoiated with rotation `=1/2Iomega^(2)`
Degreeof freedom associated with rotation `=2`
`1/2Iomega^(2)=2xx(KT)/2`
`omega=sqrt((2KT)/1)`
`=6.3xx10^(12)radS^(-1)`
Calculation of work done by gas:

if the piston moves to wards right a dx distance then work done by this force is dW.
`dW=F.dX`
`=P(A.dX)`
`dW=PdV`
`dW= overset(V_2)underset(V_1)intPdV`
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