JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
     A monoatomic gas \[(\gamma =5/3)\] is suddenly compressed to \[\frac{1}{8}\] of its original volume adiabatically, then the pressure of the gas will change to  [CPMT 1976, 83; MP PMT 1994; DPMT 1996; Roorkee 2000; KCET 2000; Pb. PMT 1999, 2001]

    A)            \[\frac{24}{5}\]

    B)            8

    C)            \[\frac{40}{3}\]

    D)            32 times its initial pressure

    Correct Answer: D

    Solution :

               \[P{{V}^{\gamma }}\]=constant Þ\[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}\Rightarrow {{P}_{2}}={{(8)}^{5/3}}{{P}_{1}}=32\ {{P}_{1}}\]


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