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NEET AIPMT SOLVED PAPER MAINS 2010

  • question_answer
    A monatomic gas at pressure p1 and V1 is compressed adiabatically to \[\frac{1}{8}\]th its original volume. What is the final pressure of the gas?

    A)  \[64\,\,{{p}_{1}}\]                          

    B)  \[{{p}_{1}}\]                                

    C)  \[16\,\,{{p}_{1}}\]                          

    D)  \[32\,\,{{p}_{1}}\]

    Correct Answer: D

    Solution :

    \[{{p}_{1}}{{V}_{1}}^{5/3}=p'{{\left( \frac{{{V}_{1}}}{8} \right)}^{5/3}}\] \[p'={{p}_{1}}{{(8)}^{5/3}}\] \[={{p}_{1}}\times {{2}^{5}}\] \[p'=32{{p}_{1}}\]


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