COMEDK · Physics · 14. Kinetic Theory of Gases
The average energy associated with a monoatomic molecule is
- A \(K_{B} T\)
- B \(\dfrac{1}{2} K_{B} T\)
- C \(\dfrac{3}{2} K_{B} T\)
- D \(2 K_{B} T\)
Answer & Solution
Correct Answer
(C) \(\dfrac{3}{2} K_{B} T\)
Step-by-step Solution
Detailed explanation
A monoatomic gas molecule has 3 degrees of freedom (\(f = 3\)) corresponding to its translational motion along the \(x\), \(y\), and \(z\) axes. According to the law of equipartition of energy, each degree of freedom contributes \(\dfrac{1}{2} K_{B} T\) to the average kinetic…
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