Question

State law of equipartition of energy.

Answer 1

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Answer 2

Answer:

Law of equipartition of energy is  $\frac{3kT^{} }{2} = \frac{mv_{x} ^{2} }{2} + \frac{mv_{y} ^{2} }{2} +\frac{mv_{z} ^{2} }{2}$

Explanation:

We know that in real life gaseous molecule are performing the 3 - dimensional motion.

According to the kinetic theory of molecular gaseous we know that the total energy of the gaseous molecule is $\frac{3kT}{2}$ which is equals to the $\frac{mv^{2} }{2}$ where $v^{2}$ is the resultant velocity of the all the x, y and z-axis.

Law of equipartition states that the energy distribution along all the 3 axis is equal and summition of all the energy across x,y,and z axis gives resultant.

$\frac{3kT^{} }{2} = \frac{mv_{x} ^{2} }{2} + \frac{mv_{y} ^{2} }{2} +\frac{mv_{z} ^{2} }{2}$