BCECE Engineering BCECE Engineering Solved Paper-2009

  • question_answer
    An ideal gas at pressure p is adiabaticalty compressed so that its density becomes n times the initial value. The final pressure of the gas will be\[\left( \gamma =\frac{{{C}_{P}}}{{{C}_{V}}} \right)\]

    A)  \[{{n}^{\gamma }}P\]

    B)                                         \[{{n}^{-\gamma }}P\]                 

    C) \[{{n}^{(-\gamma -1)}}P\]           

    D)        \[{{n}^{(1-\gamma )}}P\]

    Correct Answer: A

    Solution :

    Volume of the gas \[V=\frac{m}{d}\]and using \[p{{V}^{\gamma }}=\]constant we get \[\frac{p}{p}={{\left( \frac{V}{V} \right)}^{\gamma }}={{\left( \frac{d}{d} \right)}^{\gamma }}\] \[p={{\left( \frac{nd}{d} \right)}^{\gamma }}p\] \[={{n}^{\gamma }}p\]


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