JEE Main & Advanced JEE Main Online Paper (Held On 08 April 2018)

  • question_answer
    The ratio of mass percent of C and H of an organic compound \[({{C}_{X}}{{H}_{Y}}{{O}_{Z}})\] is 6 : 1. If one molecule of the above compound \[({{C}_{X}}{{H}_{Y}}{{O}_{Z}})\] contains half as much oxygen as required to burn one molecule of compound \[{{C}_{X}}{{H}_{Y}}\]completely to \[C{{O}_{2}}\] and \[{{H}_{2}}O\]. The empirical formula of compound \[{{C}_{X}}{{H}_{Y}}{{O}_{Z}}\] is: [JEE Main Online 08-04-2018]

    A)  \[{{C}_{3}}{{H}_{4}}{{O}_{2}}\]                     

    B)  \[{{C}_{2}}{{H}_{4}}{{O}_{3}}\]

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

    D)  \[{{C}_{2}}{{H}_{4}}O\]

    Correct Answer: B

    Solution :

      Mole ratio of \[\text{C:H}\Rightarrow \frac{6}{12}:\frac{1}{1}\Rightarrow 1:2\] \[{{\text{C}}_{\text{X}}}{{\text{H}}_{\text{y}}}\text{+}\left( \text{x+}\frac{\text{y}}{\text{4}} \right){{\text{O}}_{\text{2}}}\xrightarrow{{}}\text{xC}{{\text{O}}_{\text{2}}}\text{+}\frac{\text{y}}{\text{2}}{{\text{H}}_{\text{2}}}\text{O}\] According to questions \[\text{2z=2}\left( x+\frac{y}{4} \right)........(1)\] \[\frac{x}{y}=\frac{1}{2}..........(2)\] From (1) & (2) \[\] \[{{C}_{x}}{{H}_{y}}{{O}_{z}}\equiv {{C}_{x}}{{H}_{2x}}{{O}_{\frac{3x}{2}}}\equiv {{C}_{2}}{{H}_{4}}{{O}_{3}}\]


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