JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
A gas mixture consists of \(3\,moles\) of oxygen and \(5\,moles\) or argon at temperature \(T.\) Considering only translational and rotational modes, the total internal energy of the system is
- A \(15\,RT\)
- B \(12\,RT\)
- C \(4\,RT\)
- D \(20\,RT\)
Answer & Solution
Correct Answer
(A) \(15\,RT\)
Step-by-step Solution
Detailed explanation
\(U_{\text {total }} =U_{O_{2}}+U_{A r}\) \(=\frac{3 \times 5 \times R T}{2}+\frac{5 \times 3 \times R T}{2}\) \(=15 \mathrm{RT}\)
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