JEE Main & Advanced JEE Main Solved Paper-2014

  • question_answer
    If Z is a compressibility factor, van der Waals equation at low pressure can be written as :   JEE Main  Solved  Paper-2014

    A) \[Z=1-\frac{Pb}{RT}\]                    

    B) \[Z=1+\frac{Pb}{RT}\]

    C) \[Z=1+\frac{RT}{Pb}\]                   

    D) \[Z=1-\frac{a}{VRT}\]

    Correct Answer: D

    Solution :

    \[\left( p+\frac{a}{{{v}^{2}}} \right)\left( v-b \right)=RT\] \[\Rightarrow \]\[\left( p+\frac{a}{{{v}^{2}}} \right)\left( v \right)=RT\Rightarrow pv+\frac{a}{v}=RT\] \[\Rightarrow \]\[\frac{pv}{RT}+\frac{a}{RTv}=1\]\[\Rightarrow \]\[z=1-\frac{a}{RTv}\]


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