Law OF equipartion of Energy Assignment Help

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According to the law of equipartition of power, in thermal equilibrium net KE of a molecule is equally shared by the various degrees of freedom. The total KE per degree of freedom of a molecule is kT, where k is Boltzman's constant. k = R/ N = 1.38 x 10-23 T/K

Where R = universal gas constant and N = Avogadro number

Thus for a monatomic molecule of an ideal gas for which has three degrees of freedom per molecule kinetic energy  = kT (for one molecule of gas). 

Similarly, a molecule of diatomic gas has 5 degrees of freedom per molecule. Therefore kinetic energy per particle is kT and mean kinetic energy per mole is kT´ N. Further No. of molecules per cc at NTP in all gases is same and independent of the perfect gas. This number is known as Loschmidt's number.

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