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JCECE Engineering JCECE Engineering Solved Paper-2002

  • question_answer
    Equation for a real gas is\[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=RT\]where P= pressure, \[V=\] volume, \[a,\,\,b\] and \[R\] constants, dimensional formula of \[a\] is:

    A) \[{{L}^{6}}\]                                       

    B) \[{{M}^{1}}{{L}^{-1}}{{T}^{2}}\]

    C)  \[{{M}^{1}}{{L}^{5}}{{T}^{-2}}\]               

    D)  \[{{L}^{3}}\]

    Correct Answer: C

    Solution :

    \[\left( P+\frac{a}{{{V}^{2}}} \right)(V-b)=RT\] Dimensional formula of \[a=\] Dimensions of \[P\times \]dimensions of\[{{V}^{2}}\]                 \[=[M{{L}^{-1}}{{T}^{-2}}][{{L}^{6}}]\]                 \[=[M{{L}^{5}}{{T}^{-2}}]\]


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