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Internal energy

Question

A light container having a diatomic gas enclosed within is moving with velocity v.  Mass of the gas is M and number of moles is n and temperature is T. Find kinetic  energy of the gas with respect to centre of mass and with respect to ground.

Moderate
Solution

By law of equipartition of energy,
Energy of gas at temperature T is = fnRT2 
Here, f = 5.
So,  E=5nRT2.
This energy is with respect to centre of mass.
For finding energy with respect to ground, an extra factor of 12Mv2 need to be  added.
 



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