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NEET Sample Paper NEET Sample Test Paper-3

  • question_answer
    The equation of state of one mole of some gases can be expressed as \[\left( P+\frac{a}{{{V}^{2}}} \right)\,(V-b)=RT\]. Here, P is the pressure, V is the volume, T is the absolute temperature and a, b, R are the constants. The dimensions of ?a? are:                          

    A)  \[[M{{L}^{5}}{{T}^{-2}}]\]      

    B)  \[[M{{L}^{-1}}{{T}^{-2}}]\]             

    C)  \[[M{{L}^{3}}T]\]              

    D)  \[[M{{L}^{6}}T]\]   

    Correct Answer: A

    Solution :

        From the law of homogeneity of dimensions, the a dimensions of \[\frac{a}{{{V}^{2}}}\] must be that of pressure. \[\frac{[ML{{T}^{-2}}]}{[{{L}^{2}}]}=\frac{a}{[{{L}^{6}}]}\] \[a=[M{{L}^{5}}{{T}^{-2}}]\]               


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