Manipal Medical Manipal Medical Solved Paper-2013

  • question_answer
    25.6 g of sulphur in 100 g benzene shows depression in freezing point of\[5.12{}^\circ \]. Ks for benzene is\[5.12{}^\circ kg\text{ }mo{{l}^{-1}}\]. Molecular formula of sulphur in benzene is

    A)  \[{{S}_{2}}\]                 

    B)  \[{{S}_{6}}\]

    C)  \[{{S}_{8}}\]               

    D)  \[{{S}_{12}}\]

    Correct Answer: C

    Solution :

     \[\Delta {{T}_{f}}=\frac{1000{{K}_{f}}{{w}_{2}}}{{{M}_{2}}\times {{w}_{1}}}=\frac{1000\times 5.12\times 25.6}{{{M}_{2}}\times 100}=5.12\] \[{{M}_{2}}=\frac{1000\times 5.12\times 25.6}{5.12\times 100}=256\,gmo{{l}^{-1}}\] But atomic mass of sulphur\[=32\,g\,mo{{l}^{-1}}\] If molecular formula is\[{{S}_{x}}\]then, \[32x=256\] \[x=8\] Hence, sulphur exists as 83 in benzene.


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