CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2004

  • question_answer
    800 cc volume of a gas having\[\gamma =\frac{5}{3}\]is suddenly compressed adiabatically to 100 cc. If the initial pressure is P, then the final pressure will

    A)  \[\frac{p}{32}\]                                               

    B)  \[\left( \frac{24}{5} \right)p\]

    C)  \[8P\]                  

    D)         \[\text{32 }P\]

    E)  \[16\text{ }P\]

    Correct Answer: D

    Solution :

    \[P{{V}^{\gamma }}=constant\] \[\Rightarrow \]               \[\frac{{{p}_{2}}}{{{p}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}\] \[\therefore \]  \[\frac{{{p}_{2}}}{p}={{\left( \frac{800}{100} \right)}^{5/3}}\] \[\Rightarrow \]               \[{{p}_{2}}=32p\]


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