A gas mixture consists of 4 moles of nitrogen and 2 moles of helium at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

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13 RT

6 RT

30 RT

26 RT

answer is B.

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Detailed Solution

$\begin{array}{l} U = U_{1} + U_{2} = μ_{1} C_{v 1} T + μ_{2} C_{v 2} T \\ = 4 \times \frac{5}{2} RT + 2 \times \frac{3}{2} RT \\ = 10 RT + 3 RT = 13 RT \end{array}$

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