JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    A polyatomic gas \[\left( \gamma =\frac{4}{3} \right)\] is compressed to \[\frac{1}{8}\] of its volume adiabatically. If its initial pressure is \[{{P}_{o}}\], its new pressure will be            [MP PET 1994; BHU 1995]

    A)            \[8{{P}_{o}}\]                      

    B)            \[16{{P}_{0}}\]

    C)            \[6{{P}_{o}}\]                      

    D)            \[2{{P}_{o}}\]

    Correct Answer: B

    Solution :

               \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}\]Þ \[{{P}_{2}}={{P}_{1}}{{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}={{P}_{0}}{{(8)}^{4/3}}=16{{P}_{0}}.\]


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