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KVPY Sample Paper KVPY Stream-SX Model Paper-30

  • question_answer
    At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as \[P=\frac{RT}{V-b}\] at T.

    A) Kr

    B) Ar

    C) Xe

    D) Ne

    Correct Answer: C

    Solution :

    \[P=\frac{RT}{(V-b)}\]
    \[P(V-b)=RT\]
    \[\left( P+\frac{a}{{{V}^{2}}} \right)(v-b)=RT\]
    At high pressure,
    \[P(V-b)=RT\]
    \[PV-Pb=RT\]
    \[\frac{PV}{RT}-\frac{Pb}{RT}=1\]
                \[Z=1+\frac{Pb}{RT}\]
                \[Z>1,Z\propto b\]


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