Law of equi-partition of energy Assignment Help

Assignment Help: >> Kinetic theory of gas >> Law of equi-partition of energy

According to that law, for each dynamical system in thermal equilibrium, the total energy is distributed equally amongst all the degrees of freedom, and the energy associated with each molecule per degree of freedom is 1/2KTand hence a constant.

Total energy in f degree of freedom = f/2KT; Energy per degree of freedom = (f/2KT)/f = 1/2KT.

 

Differents velocity and speed for Molecules of Gases:

Instantaneous velocity: At any instant velocity of molecules of gases called instantaneous velocity.

Average or mean velocity : 1136_Law of equipartition of energy.png, Its value is zero.

Average (mean) speed: 1269_Law of equipartition of energy1.png, Its value does not zero.

Root mean square speed: 1542_Law of equipartition of energy2.png

Maximum possible speed: That possible maximum speed of molecule called maximum possible speed.

 

Mathematical formula for diffrent speed:

883_Law of equipartition of energy3.png

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