JEE Main & Advanced Physics Kinetic Theory of Gases Question Bank Topic Test - Kinetic Theory of Gases

  • question_answer
    1 mole of a gas with \[\gamma =\text{7/5}\] is mixed with 1 mole of a gas with \[\gamma =5\text{/3,}\] then the value of \[\gamma \] for the resulting mixture is

    A) 7/5

    B) 2/5

    C) 3/2

    D) 12/7

    Correct Answer: C

    Solution :

    [c] \[{{\gamma }_{mix}}=\frac{\frac{{{\mu }_{1}}{{\gamma }_{1}}}{{{\gamma }_{1}}-1}+\frac{{{\mu }_{2}}{{\gamma }_{2}}}{{{\gamma }_{2}}-1}}{\frac{{{\mu }_{1}}}{{{\gamma }_{1}}-1}+\frac{{{\mu }_{2}}}{{{\gamma }_{2}}-1}},\]
    Here \[{{\mu }_{1}}={{\mu }_{2}}=1;{{\gamma }_{1}}=\frac{7}{5}\] and \[{{\gamma }_{2}}=\frac{5}{3}\]
    \[\therefore \]    \[{{\gamma }_{mix}}=\frac{3}{2}\]


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