JEE Main & Advanced Chemistry States of Matter Question Bank Real gases and Vander waal's equation

  • question_answer At low pressure, the Vander Waal's equation is reduced to

    A)                 \[Z=\frac{p{{V}_{m}}}{RT}=1-\frac{ap}{RT}\]      

    B)                 \[Z=\frac{p{{V}_{m}}}{RT}=1+\frac{b}{RT}p\]

    C)                 \[p{{V}_{m}}=RT\]          

    D)                 \[Z=\frac{p{{V}_{m}}}{RT}=1-\frac{a}{RT}\]

    Correct Answer: A

    Solution :

               When pressure is low                                 \[\left[ P+\frac{a}{{{V}^{2}}} \right]\left( V-b \right)=RT\]                     or \[PV=RT+Pb-\frac{a}{V}+\frac{ab}{{{V}^{2}}}\] or \[\frac{PV}{RT}=1-\frac{a}{VRT}\]                                                 \[Z=-\frac{a}{VRT}\] \[\left( \because \frac{PV}{RT}=Z \right)\]


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