Manipal Medical Manipal Medical Solved Paper-2009

  • question_answer
    At relatively high pressure, van der Waals equation reduces to

    A)  \[pV=RT\]        

    B)  \[pV=RT-\frac{a}{V}\]

    C)  \[pV=RT-\frac{a}{{{V}^{2}}}\]  

    D)  \[pV=RT+pb\]

    Correct Answer: D

    Solution :

     At high pressure, the pressure correction for 1 mole of gas is negligible. \[\therefore \] \[\frac{a}{{{V}^{2}}}=0\] However the volume correction cannot be neglected. Hence, van der Waals equation reduces to \[(p+0)(V-b)=RT\]   (For 1 mole) \[pV-pb=RT\] \[\therefore \] \[pV=RT+\text{ }pb\]


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