A) \[(3/2){{k}_{B}}T\]
B) \[(1/2){{k}_{B}}T\]
C) \[(3/2)RT\]
D) \[(1/2)RT\]
Correct Answer: D
Solution :
The energy per mole per degree of freedom of an ideal gas is \[E=\left( \frac{1}{2}{{K}_{B}}T \right)({{N}_{A}})\] Where, T = absolute temperature \[{{N}_{A}}\] = Avogadro's number \[{{K}_{B}}\] = Boltzmann's constant \[\because \] \[R={{N}_{A}}{{K}_{B}}\] Therefore, \[E=\frac{1}{2}RT\]
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