NEET Sample Paper NEET Sample Test Paper-40

  • question_answer
    For real gives, van der Waals' equation is written as\[\left( p+\frac{a{{n}^{2}}}{{{V}^{2}}} \right)(V-nb)=nRT\], where \[a\] and \[b\] are van der Waals' constants. Two sets of gases are:\[(I)\,{{O}_{2}},C{{O}_{2}},{{H}_{2}}\] and \[He\,\,(II)C{{H}_{4}},{{O}_{2}}\]and\[{{H}_{2}}\].The gases given in set I in increasing order of A and gases given in set II in decreasing order of a are arranged below. Select the correct order from the following:

    A)  \[(I)\,He<{{H}_{2}}<C{{O}_{2}}<{{O}_{2}},\]\[(II)\,C{{H}_{4}}>{{H}_{2}}>{{O}_{2}}\]

    B)  \[(I)\,{{O}_{2}}<He<{{H}_{2}}<C{{O}_{2}},\]\[(II)\,{{H}_{2}}>{{O}_{2}}>C{{H}_{4}}\]

    C)  \[(I)\,{{H}_{2}}<He<{{O}_{2}}<C{{O}_{2}},\]\[(II)C{{H}_{4}}>{{O}_{2}}>{{H}_{2}}\]

    D)  \[(I)\,{{H}_{2}}<{{O}_{2}}<He<C{{O}_{2}},\]\[(II)\,{{O}_{2}}>C{{H}_{4}}>{{H}_{2}}\]

    Correct Answer: C

    Solution :

     \[C{{O}_{2}}\]is more easily liquefied than\[{{O}_{2}}\]gas. Hence  of\[C{{O}_{2}}\]is more than that of \[{{O}_{2}}.\]Also \[C{{H}_{4}}\]is easily liquefied than\[{{H}_{2}}\] and He. Hence, a of \[C{{H}_{4}}\]is more than \[{{H}_{2}}\]and He. \[\begin{matrix}    {} & He & {{H}_{2}} & {{O}_{2}} & C{{O}_{2}} & C{{H}_{4}}  \\    (a) & 0.434 & 0.244 & 1.36 & 3.59 & 2.25  \\ \end{matrix}\begin{matrix}    {}  \\    \,\,\text{atom}{{\text{1}}^{2}}\,\text{mol}{{\text{e}}^{-2}}  \\ \end{matrix}\]  \[\begin{matrix}    0.0237 & 0.0266 & 0.0318 & 0.0427 & 0.0428 & 1\,mol{{e}^{-1}}  \\ \end{matrix}\] \[\therefore \]Order of a \[C{{H}_{4}}>{{O}_{2}}>{{H}_{2}}\] \[\therefore \]Order of \[b\propto \]side and size of \[C{{O}_{2}}>{{O}_{2}}>He>{{H}_{2}}.\]


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