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JEE Main & Advanced Physics Thermodynamical Processes Question Bank First Law of Thermodynamics

  • question_answer
    If the ratio of specific heat of a gas at constant pressure to that at constant volume is \[\gamma \], the change in internal energy of a mass of gas, when the volume changes from V to 2V constant pressure p, is                                                  [CBSE PMT 1998]

    A)            \[R/(\gamma -1)\]             

    B)            \[pV\]

    C)            \[pV/(\gamma -1)\]          

    D)            \[\gamma pV/(\gamma -1)\]

    Correct Answer: C

    Solution :

                       \[\Delta U=\mu {{C}_{V}}\Delta T=n\,\left( \frac{R}{\gamma -1} \right)\Delta T\]            \[\Rightarrow \Delta U=\frac{P\Delta V}{(\gamma -1)}=\frac{P(2V-V)}{\gamma -1}=\frac{PV}{(\gamma -1)}\]


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