Uttarakhand PMT Uttarakhand PMT Solved Paper-2007

  • question_answer
    At high pressures, the compressibility factor\[z\]is equal to

    A)  unity          

    B)  \[1-\frac{Pb}{RT}\]

    C)  \[1+\frac{Pb}{RT}\]        

    D)  zero

    Correct Answer: C

    Solution :

     \[P+\frac{a}{{{V}^{2}}}(V-d)=RT\] At high pressure b can not be neglected in comparison to V. Further though V becomes small,\[\frac{a}{{{V}^{2}}}\]is large but as P is very high,\[\frac{a}{{{V}^{2}}}\]. Can be neglected in comparison to P. Hence, \[P(V-d)=RT\]or \[PV=RT+Pb\] or \[\frac{PV}{RT}=1+\frac{Pb}{RT}\]ie, \[z=1+\frac{Pb}{RT}\]


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