JEE Main & Advanced Sample Paper JEE Main - Mock Test - 9

  • question_answer
    The empirical formula of an organic compound containing carbon and hydrogen is \[C{{H}_{2}}\]. The mass of one litre of this organic gas is exactly equal to that of one litre of \[{{N}_{2}}\]. Therefore, the molecular formula of the organic gas is

    A) \[{{C}_{2}}{{H}_{4}}\]

    B) \[{{C}_{3}}{{H}_{6}}\]

    C) \[{{C}_{6}}{{H}_{12}}\]         

    D) \[{{C}_{4}}{{H}_{8}}\]

    Correct Answer: A

    Solution :

    [a] : Empirical formula weight \[=12+2\times 1=14\] 22.4 L of \[{{N}_{2}}\equiv 28g\]\[\Rightarrow \]1 L of \[{{N}_{2}}=\frac{28}{22.4}g\] Now, 1 L of organic gas \[=\frac{28}{22.4}g\] \[\Rightarrow \]22.4 L of organic gas = 28 g \[\therefore \]Molecular weight of gas = 28 g (Empirical weight)\[_{n}\] = Molecular weight\[n=\frac{28}{14}=2\] Molecular formula = (Empirical formula)\[_{n}\] \[={{(C{{H}_{2}})}_{2}}={{C}_{2}}{{H}_{4}}\]


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