Average kinetic energy of one molecule of diatomic rigid and elastic at temperature
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Average Kinetic Energy for one molecule is given by the relation,
Kinetic Energy = f/2 × nkT
where,
f is the degree of the freedom, n is the no. of molecules, k is the Boltzmann Constant and T is the Temperature.
Now, Degree of the Freedom for the diatomic gas is 5
∴ f = 5.
and also, we are talking about one molecules, therefore, n = 1,
∴ Kinetic Energy = 5/2 × 1 × KT
∴ K.E. = 5KT/2
This shows that Kinetic Energy only depends upon the absolute temperature and not on anything else.
Hope it helps.
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