AIIMS AIIMS Solved Paper-2000

  • question_answer
    On mixing 3 g of non-volatile solute in 200 mL of water its boiling point \[({{100}^{o}}C)\] becomes \[{{100.52}^{o}}C\]. If \[{{k}_{b}}\] for water is 0.6 K.kg/mol then molecular weight of solute is:

    A)  \[10.5g\,mo{{l}^{-1}}\]

    B)         \[12.6\text{ }g\,mo{{l}^{-1}}\]

    C)                         \[15.7\text{ }g\,mo{{l}^{-1}}\]                  

    D)  \[17.3\text{ }g\,mo{{l}^{-1}}\]

    Correct Answer: D

    Solution :

    Mol. mass of solute (m) \[=\frac{1000\times {{K}_{b}}}{\Delta {{T}_{b}}}\times \frac{w}{W}\] \[{{K}_{b}}=0.6K.kg/mol\] \[w=3g;W=200mL,\] \[\Delta {{T}_{b}}={{100.52}^{o}}C-{{100}^{o}}C={{0.52}^{o}}C\] Putting the values we have \[=\frac{1000\times 0.6}{0.52}\times \frac{3}{200}=\frac{1800}{104}\] \[=17.307g/mol\]


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