JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2006

  • question_answer
        If a solution containing 0.072 g atom of sulphur in 100 g of a solvent\[({{k}_{f}}=7.0)\]gave a freezing point depression of\[0.84{}^\circ C,\]the molecular formula of sulphur in the solutions is

    A)  \[{{S}_{6}}\]                                     

    B)  \[{{S}_{7}}\]

    C)  \[{{S}_{8}}\]                                     

    D)  \[{{S}_{9}}\]

    Correct Answer: A

    Solution :

                    Given, mass of solvent (w) = 100 g Depression in freezing point\[(\Delta {{T}_{f}})=0.84{}^\circ C\]                 \[{{k}_{f}}=7.0\] \[\frac{Mass\text{ }of\text{ }solute\,(w)}{molecular\text{ }mass\text{ }of\text{ }solute\,(M)}=0.072\] \[\Delta {{T}_{f}}=\frac{1000\times {{k}_{f}}}{n\times w}\left( \frac{w}{M} \right)\]                 \[0.84=\frac{1000\times 7.0\times 0.072}{n\times 100}\] \[n=6\] \[\therefore \]S is in\[{{S}_{6}}\]form in solution.


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