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

  • question_answer
    One mole of a diatomic gas is taken through the process \[P{{V}^{n}}=k,\] where n and k are constant. If the heat capacity of gas is negative, then the value of n may be           

    A) \[\frac{5}{7}\]

    B) \[-\frac{5}{7}\]

    C) \[\frac{9}{7}\]

    D) \[-\frac{9}{7}\]

    Correct Answer: C

    Solution :

    [c] \[C=\frac{R}{\gamma -1}+\frac{R}{1-n}\]for a polytropic process \[\Rightarrow C=\frac{5R}{2}+\frac{R}{1-n}\text{      }\left( \therefore r=\frac{7}{5}\text{ for a doatomic gas} \right)\] For C to be negative, the possible value of 9 n will be \[\frac{9}{7}.\]


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