JEE Main & Advanced Physics Thermodynamical Processes Question Bank Adiabatic Process

  • question_answer
    A gas is suddenly compressed to one fourth of its original volume. What will be its final pressure, if its initial pressure is P  [Pb. PET 2002]

    A)          Lesss than P                  

    B)          More than P

    C)          P   

    D)          Either (a) or (c)

    Correct Answer: B

    Solution :

                       \[P{{V}^{\gamma }}=\]constant Þ \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}={{\left( \frac{{{V}_{1}}}{{{V}_{1}}/4} \right)}^{\gamma }}={{4}^{\gamma }}\] Þ \[{{P}_{2}}={{4}^{\gamma }}P\] As g is always greater than one so \[{{4}^{\gamma }}>4\] Þ \[{{P}_{2}}>4P\]


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