What will be the average value of energy for | vedclass

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(B) According to the Law of Equipartition of Energy,each degree of freedom contributes $\frac{1}{2} k_{B} T$ to the average energy of a system in ther

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$\frac{3}{2} k_{B} T$

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(B) According to the Law of Equipartition of Energy,each degree of freedom contributes $\frac{1}{2} k_{B} T$ to the average energy of a system in thermal equilibrium.For a monoatomic gas,the number of degrees of freedom $(D.O.F.)$ is $3$ (corresponding to translational motion along the $x, y,$ and $z$ axes).Therefore,the average energy per molecule is calculated as:Average Energy $= D.O.F. 	imes \frac{1}{2} k_{B} T = 3 	imes \frac{1}{2} k_{B} T = \frac{3}{2} k_{B} T$.

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature $T$?

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