JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    Pressure-temperature relationship for an ideal gas undergoing adiabatic change is \[(\gamma ={{C}_{p}}/{{C}_{v}})\] [CPMT 1992; MP PMT 1986, 87, 94, 97; Pb. PET 1998; DCE 2001; MP PET 2001; UPSEAT 1999, 2001; AFMC 2002]

    A)            \[P{{T}^{\gamma }}=\] constant                                     

    B)            \[P{{T}^{-1+\gamma }}=\]constant

    C)            \[{{P}^{\gamma -1}}{{T}^{\gamma }}=\]constant    

    D)            \[{{P}^{1-\gamma }}{{T}^{\gamma }}=\]constant

    Correct Answer: D

    Solution :

                       \[P{{V}^{\gamma }}=\]constant Þ \[P\,{{\left( \frac{RT}{P} \right)}^{\gamma }}=\]constant            Þ \[{{P}^{1-\gamma }}{{T}^{\gamma }}=\]constant.


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