Manipal Engineering Manipal Engineering Solved Paper-2008

  • question_answer
    Freezing point of urea solution is\[-{{0.6}^{o}}C\]. How much urea\[(m.wt.=60g/mol)\]will be required to dissolve in 3 kg water? \[({{k}_{f}}={{1.5}^{o}}C\,\,kg\,\,mo{{l}^{-1}})\]

    A)  24 g                                      

    B)  36 g

    C)  60 g                      

    D)         72 g

    Correct Answer: D

    Solution :

                    \[\Delta {{T}_{f}}=\frac{{{k}_{f}}\times 1000\times w}{M\times W}\]                 \[w=\frac{\Delta {{T}_{f}}\times M\times W}{{{k}_{f}}\times 1000}\]                 \[\Delta {{T}_{f}}=0-(-0.6)={{0.6}^{o}}C\]                 \[M=60\,\,g/mol\]                 \[{{k}_{f}}={{1.5}^{o}}C\,\,kg\,\,mo{{l}^{-1}}\]                 \[W=3\times {{10}^{3}}g\]                 \[w=\frac{0.6\times 60\times 3\times {{10}^{3}}}{1.5\times 1000}\]                    \[=72\,\,g\]


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