MGIMS WARDHA MGIMS WARDHA Solved Paper-2008

  • question_answer
    The mass of glucose that should be dissolved in 50 g of water in order to produce the same lowering of vapour pressure as is produced by dissolving 1 g of urea in the same quantity of water is

    A) 1 g                                         

    B) 3 g

    C) 6g                                          

    D) 18 g

    Correct Answer: B

    Solution :

     \[\frac{p-{{p}_{s}}}{p}=\frac{{{w}_{1}}{{M}_{2}}}{{{w}_{2}}{{M}_{1}}}\] To produce same lowering of vapour pressure,\[\frac{p-{{p}_{s}}}{p}\]will be same for both cases. So, \[\frac{{{W}_{(Glu\cos e)}}\times 18}{50\times 180}=\frac{{{W}_{(Urea)}}\times 18}{50\times 60}\] \[{{W}_{(Glu\cos e)}}=weight\text{ }of\text{ }glu\cos e\] \[{{W}_{(Urea)}}=weight\text{ }of\text{ }glu\cos e\] Or           \[\frac{{{W}_{(Glu\cos e)}}\times 18}{50\times 180}=\frac{1\times 18}{50\times 60}\]                 \[{{W}_{(Glu\cos e)}}=3g\]


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