JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    For an adiabatic expansion of a perfect gas, the value of \[\frac{\Delta P}{P}\] is equal to [CPMT 1983; MP PMT 1990]

    A)            \[-\sqrt{\gamma }\frac{\Delta V}{V}\]                         

    B)            \[-\frac{\Delta V}{V}\]

    C)            \[-\gamma \frac{\Delta V}{V}\]                                       

    D)            \[-{{\gamma }^{2}}\frac{\Delta V}{V}\]

    Correct Answer: C

    Solution :

               \[P{{V}^{\gamma }}=\]constant : Differentiating both sides            \[P\gamma {{V}^{\gamma -1}}dV+{{V}^{\gamma }}dP=0\Rightarrow \frac{dP}{P}=-\gamma \frac{dV}{V}\]


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