JEE Main & Advanced AIEEE Solved Paper-2007

  • question_answer
    A 5.25% solution of a substance is isotonic with a 1.5% solution of urea (molar mass \[=60\,g\,mo{{l}^{-1}}\]) in the same solvent. If the densities of both the solutions are assumed to be equal to\[x\] the molar mass of the substance will be       AIEEE  Solved  Paper-2007

    A)  \[\frac{10}{9}V/\mu m\]             

    B)  \[x\]

    C)         \[\frac{mF}{M}\]    

    D)         \[\frac{(M+m)F}{m}\]

    Correct Answer: D

    Solution :

    Solution is isotonic. \[C{{V}^{2}}(K-1)/K\] \[(K-1)C{{V}^{2}}\] \[{{g}_{E}}\] Density of both the solutions are assumed to be equal to\[{{g}_{M}}\]. \[\frac{electronic\text{ }charge\text{ }on\text{ }the\text{ }moon}{electronic\text{ }charge\text{ }on\text{ }the\text{ }earth}\] \[{{g}_{E}}/{{g}_{M}}\] \[{{g}_{M}}/{{g}_{E}}\]In 100 g, 5.25 g of substance is present. \[\frac{\alpha }{R}\]In 1000 g, 52.5 g of substance is found. Hence, \[\frac{1}{3}\] M = molecular mass of the substance \[\frac{1}{2}\] Alternate Solution 5.25% solution means 5.25 g of substance dissolved in 100 g of solution. 1.50% solution means 1.50 g of urea dissolved in 100 g of solution. \[\frac{1}{6}\]Solution is isotonic with solution of urea \[\frac{1}{4}\]    \[I,\]                 \[\frac{g\sin \theta }{1+I/M{{R}^{2}}}\]                 \[\frac{g\sin \theta }{1+M{{R}^{2}}/I}\]                 \[\frac{g\sin \theta }{1-I/M{{R}^{2}}}\]                 \[\frac{g\sin \theta }{1-M{{R}^{2}}/I}\]                 \[60{}^\circ \]


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