JEE Main & Advanced Sample Paper JEE Main Sample Paper-45

  • question_answer
    At low pressures, the van der Waals' equation is written as:\[\left( p+\frac{a}{{{V}^{2}}} \right)V=RT\]. The compressibility factor is then equal to

    A)  \[\left( 1-\frac{a}{RTV} \right)\]                    

    B)  \[\left( 1-\frac{RTV}{a} \right)\]

    C) \[\left( 1+\frac{a}{RTV} \right)\]                   

    D)  \[\left( 1+\frac{RTV}{a} \right)\]

    Correct Answer: A

    Solution :

     \[\because \]    \[\left( p+\frac{a}{{{V}^{2}}} \right)V=RT\] or         \[pV+\frac{a}{V}=RT\] or         \[pV=RT-\frac{a}{V}\] or         \[Z=1-\frac{a}{RTV}\] \[\therefore \]    \[Z<1\] always

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