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

  • question_answer
    A gas for which \[\gamma =1.5\]is suddenly compressed to\[\frac{1}{4}\]th of the initial volume. Then the ratio of the final to the initial pressure is       

    A) 1 : 16

    B) 1 : 8

    C) 1 : 4

    D) 8 : 1

    Correct Answer: D

    Solution :

    [d] \[{{P}_{1}}V_{1}^{\gamma }={{P}_{2}}V_{2}^{\gamma }\]Þ \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left[ \frac{{{V}_{1}}}{{{V}_{2}}} \right]}^{\gamma }}={{\left[ \frac{4}{1} \right]}^{3/2}}=\frac{8}{1}\]


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