RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    The initial coordinates of any system are p and V. If a gas \[\left( \gamma =\frac{5}{3} \right)\]is compressed to \[\frac{1}{8}\] of its original volume, then the pressure of the gas will be

    A)  p                

    B)  16p

    C)  4p               

    D)  32 p

    Correct Answer: D

    Solution :

     \[{{p}_{1}}V_{1}^{\gamma }={{p}_{2}}V_{2}^{\gamma }\]constant Here,    \[{{p}_{1}}=p,{{V}_{1}}=V\]and \[{{V}_{2}}=\frac{V}{8}\] \[\therefore \] \[P{{V}^{\gamma }}={{p}_{2}}{{\left( \frac{V}{8} \right)}^{\gamma }}\] \[\Rightarrow \] \[{{p}_{2}}={{8}^{\gamma }}p={{8}^{5/3}}p=32p\]


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