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

  • question_answer
    During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio \[\frac{{{C}_{p}}}{{{C}_{v}}}=\gamma \] for the gas is

    A) 2

    B) 3/2   

    C) 5/3

    D) 4/3

    Correct Answer: B

    Solution :

    [b]  \[{{P}^{1-\gamma }}{{T}^{\gamma }}=\text{constant}\] or \[p\propto {{T}^{\left[ \gamma /\left( \gamma -1 \right) \right]}}\text{     Here, }p\propto {{T}^{3}}\] or \[\frac{\gamma }{\gamma -1}=3\text{       or }\gamma =\frac{3}{2}\]


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