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  • question_answer
    A gas mixture consists of 2 moles of \[{{O}_{2}}\] and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is                                  [NEET-2017]

    A) \[11\,\,RT\]

    B) \[4\,RT\]

    C) \[15\,RT\]

    D) \[9\,RT\]

    Correct Answer: A

    Solution :

    [a] \[aU={{n}_{1}}\frac{{{f}_{1}}}{1}RT+{{n}_{2}}\frac{{{f}_{2}}}{2}RT\]
    \[=2\times \frac{5}{2}RT+4\times \frac{3}{2}RT\]
    \[=5RT+6RT\]
    \[U=11\,\,RT\]


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