NEET Chemistry States of Matter / पदार्थ की अवस्थाएँ - गैस एवं द्रव Question Bank Self Evaluation Test - States of Matter

  • question_answer
    For a real gas (mol. mass =60) if density at critical point is \[0.80g/c{{m}^{3}}\] and its \[{{T}_{c}}=\frac{4\times {{10}^{5}}}{821}K\], then van der waals' constant a (in atm\[{{L}^{2}}mo{{l}^{-2}}\]) is

    A) \[0.3375\]

    B) \[3.375\]

    C) \[1.68\]                         

    D) \[0.025\]

    Correct Answer: B

    Solution :

    [b] \[{{V}_{c}}=\frac{60}{0.80}=75c{{m}^{3}}mo{{l}^{-1}};\] \[b=\frac{{{V}_{c}}}{3}=25c{{m}^{3}}mo{{l}^{-1}};=0.25Lmo{{l}^{-1}}\] \[\therefore {{T}_{c}}=\frac{8a}{27Rb}\] \[\frac{4\times {{10}^{5}}}{821}=\frac{2.45}{0.425}=5.76\,g{{L}^{-1}}\] \[\Rightarrow a=3.375\]


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