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NEET Physics Thermodynamical Processes NEET PYQ-Thermodynamical Processes

  • question_answer
    A monatomic gas at pressure \[{{p}_{1}}\] and \[{{V}_{1}}\] is compressed adiabatically to \[\frac{1}{8}th\] its original volume. What is the final pressure of the gas?                                              [AIPMT (M) 2010]

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

    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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