JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2008

  • question_answer
        The density of a gas is\[1.964\text{ }g\text{ }d{{m}^{-3}}\]at 273 K and 76 cm Hg. The gas is

    A)  \[C{{H}_{4}}\]                                  

    B) \[{{C}_{2}}{{H}_{6}}\]

    C)  \[C{{O}_{2}}\]                                  

    D) \[Xe\]

    Correct Answer: C

    Solution :

                    We know that \[PV=nRT\] Or           \[PV=\frac{w}{m}RT\] Or           \[m=\frac{m}{V}\frac{RT}{P}\] Or           \[M=d\frac{RT}{P}\] \[d=1.964g/d{{m}^{3}}=1.964\times {{10}^{-3}}g/cc.\] \[P=76cm=1atm\] \[R=0.0812\text{ }L\text{ }atm\text{ }{{K}^{-1}}mo{{l}^{-1}}\] \[=82.1\,cc\,atm\,{{K}^{-1}}mo{{l}^{-1}}\] \[T=273K\] \[m=\frac{1.964\times {{10}^{-3}}\times 82.1\times 273}{1}=44\] The molecular weight of\[C{{O}_{2}}\]is 44. So, the gas is\[C{{O}_{2}}\].


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