JEE Main & Advanced Physics Thermodynamical Processes Question Bank Topic Test - Thermodynamical Process (2021)

  • 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                     

    A) 4 atmosphere

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

    C) 8 atmosphere    

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

    Correct Answer: C

    Solution :

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

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