J & K CET Engineering J and K - CET Engineering Solved Paper-2007

  • question_answer
    Which one, among the following, is the van der Waals' equation, describing the behaviour of one mole of a real gas over wide ranges. temperature and pressure?

    A) \[\left( p+\frac{a}{^{{{V}^{2}}}} \right)(V-b)=RT\]

    B)  \[\left( p-\frac{a}{^{{{V}^{2}}}} \right)(V-b)=RT\]

    C) \[\left( p+\frac{a}{^{{{V}^{2}}}} \right)(V-b)=\frac{R}{T}\]

    D)  \[\left( p+\frac{a}{^{{{V}^{2}}}} \right)(V+b)=RT\]

    Correct Answer: A

    Solution :

     The van der Waals' equation for \[n\] moles of a gas is \[\left[ p+\frac{{{n}^{2}}a}{{{V}^{2}}} \right](V-nb)=nRT\] For one mole \[(n=1)\] \[\left( p+\frac{a}{{{V}^{2}}} \right)(V-b)=RT\]


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