MGIMS WARDHA MGIMS WARDHA Solved Paper-2015

  • question_answer
    \[50\,c{{m}^{3}}\]ethylene glycol is dissolved in 50g water. Freezing point of solution is\[-34{}^\circ C\]Assuming ideal behaviour than density of ethylene glycol is (for water, \[{{K}_{f}}=1.86\,K\,kg\,mo{{l}^{-1}}\])

    A)  \[1.273\text{ }g/c{{m}^{3}}\]    

    B)  \[2.173\text{ }g/c{{m}^{3}}\]

    C)  \[1.133\text{ }g/c{{m}^{3}}\]    

    D) \[2.612\text{ }g/c{{m}^{3}}\]

    Correct Answer: C

    Solution :

                    Volume of ethylene glycol \[=50\text{ }c{{m}^{3}}\] \[\therefore \]Mass of ethylene glycol \[(w)=50\times d\] And,         \[W=50g\]                 \[\Delta T={{0}^{-}}(-34)=34\]                 \[{{K}_{f}}=1.86K\,\log mo{{l}^{-1}}\] \[\therefore \]  \[\Delta {{T}_{f}}=\frac{1000\times {{k}_{f}}\times w}{62\times 50}\] (Mol. mass of ethylene glycol= 62) or            \[d=\frac{34\times 62\times 50}{1000\times 1.86\times 50}\] or            \[d=1.33\,g/c{{m}^{3}}\]


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