DUMET Medical DUMET Medical Solved Paper-2006

  • question_answer
    At high pressure van der Waals equation becomes :

    A)  \[PV=RT\]       

    B)  \[PV=RT+\frac{a}{V}\]

    C)  \[PV=RT-\frac{a}{V}\]   

    D)  \[PV=RT+Pb\]

    Correct Answer: D

    Solution :

    van der Waals equation of state is \[\left[ P+\frac{a}{{{V}^{2}}} \right]\,(V-b)=RT\] when pressure is high, value of V will be very small and the quantity \[\frac{a}{{{V}^{2}}}\] becomes small and can be neglected in comparison to P. Thus, the above equation becomes \[P(V-b)=RT\] \[PV-Pb=RT\] \[PV=RT+Pb\] The product PV becomes greater that RT by an amount equal to P-b. This explain that curves start rising at high pressure.


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