JEE Main & Advanced Physics Kinetic Theory of Gases Sample Paper Topic Test - Kinetic Theory of Gases

  • question_answer
    A gas mixture consists of 2 mol of oxygen and 4 mol of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is

    A) 4 RT 

    B) 15 RT

    C) 9 RT

    D) 11 RT

    Correct Answer: D

    Solution :

    [d] Total internal energy of system
    \[={{U}_{oxygen}}+{{U}_{\arg on}}\]
    \[={{\mu }_{1}}=\frac{{{f}_{1}}}{2}\,RT+{{\mu }_{2}}\frac{{{f}_{2}}}{2}RT\]
    \[=2\frac{5}{2}RT+4\frac{3}{2}RT=5RT+6RT=11RT\]
    [as \[{{f}_{1}}=5\] (for oxygen) and \[{{f}_{2}}=3\] (for argon)]


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