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JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
     A gas at NTP is suddenly compressed to one-fourth of its original volume. If  \[\gamma \] is supposed to be \[\frac{3}{2}\], then the final pressure is                                                               [BHU 1995]

    A)            4 atmosphere                      

    B)            \[\frac{3}{2}\] atmosphere

    C)            8 atmosphere                      

    D)            \[\frac{1}{4}\] atmosphere

    Correct Answer: C

    Solution :

               \[P{{V}^{\gamma }}=\text{constant}\Rightarrow \frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}\]\[\Rightarrow \frac{{{P}_{2}}}{1}={{\left( \frac{{{V}_{1}}}{{{V}_{1}}/4} \right)}^{3/2}}=8\]            Þ \[{{P}_{2}}=8\ atm\].


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