JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
                      Heptane and octane form ideal solution at 37.3 K. The vapour pressure of them are 100 kPa and 50 kPa respectively. What will be total vapour pressure of a mixture containing 25g of heptane and 35 g of octane?

    A) 150kPa                 

    B) 75 kPa

    C) 100.0kPa             

    D) 72.5kPa

    Correct Answer: D

    Solution :

    Molecular mass of heptane \[N{{O}_{2}}\], \[\therefore \]                  \[{{n}_{2}}=2{{n}_{1}}\] Molecular mass of octane \[\frac{{{p}_{1}}}{{{p}_{2}}}=\frac{{{T}_{1}}}{2{{T}_{2}}}\] \[=\frac{273}{2(546)}\]                  \[\therefore \] \[{{p}_{2}}=\frac{2(546)}{273}{{p}_{1}}=4{{p}_{1}}\] and        \[{{p}_{2}}\] Thus,     \[\underset{2,2\,\,4-trimethyl\,pen\tan e}{\mathop{C{{H}_{3}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\mathop{CH}}\,-C{{H}_{2}}-\underset{\begin{smallmatrix}  | \\  C{{H}_{3}} \end{smallmatrix}}{\overset{\begin{smallmatrix}  C{{H}_{3}} \\  | \end{smallmatrix}}{\mathop{C}}}\,-C{{H}_{3}}}}\,\] \[{{H}_{3}}C-C\equiv CH\xrightarrow[1%{{H}_{2}}S{{O}_{4}}]{40%H{{ & }_{2}}SO{{ & }_{4}}}{{H}_{3}}C-\underset{\begin{smallmatrix}  | \\  \underset{\begin{smallmatrix}  prop-1en-2ol \\  (Unstable) \end{smallmatrix}}{\mathop{OH}}\, \end{smallmatrix}}{\mathop{C}}\,=C{{H}_{2}}\] \[\xrightarrow{Tautomerism}{{H}_{3}}C\underset{\begin{smallmatrix}  || \\  O \end{smallmatrix}}{\mathop{-C}}\,-C{{H}_{3}}\] \[C{{H}_{3}}\underset{\begin{smallmatrix}  | \\  Br \end{smallmatrix}}{\mathop{-CH}}\,-C{{H}_{3}}+alc.KOH\to \]


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