JEE Main & Advanced Chemistry Solutions / विलयन Question Bank Mock Test - Solutions

  • question_answer
    The molality of a urea solution in which 0.0200 g of urea  (\[N{{H}_{2}}CON{{H}_{2}}\]) is added to 0.400 \[d{{m}^{3}}\] of water at STP is

    A) \[0.555\,mol\,k{{g}^{-1}}\]

    B) \[5.55\times {{10}^{-4}}\,mol\,k{{g}^{-1}}\]

    C) \[8.33\times {{10}^{-4}}\,mol\,k{{g}^{-1}}\]

    D) \[33.3\,mol\,k{{g}^{-1}}\]

    Correct Answer: C

    Solution :

    [c] \[1\,d{{m}^{3}}=100\,c{{m}^{3}}=1\,L=1\,kg\] \[0.400\,d{{m}^{^{3}}}\] of \[{{H}_{2}}O\] at STP=\[0.400\,kg\] of \[{{H}_{2}}O\] (Density=1.0 g\[c{{m}^{-3}}\]) Moles of urea =\[\frac{0.0200}{60}mol\] (Molar mass of\[N{{H}_{2}}\,CON{{H}_{2}}=60gmo{{l}^{-1}}\]) \[\therefore \]Molality \[=\frac{\text{Moles}\,\text{of}\,\text{solut}\,\text{(urea)}}{\text{kg}\,\text{of}\,\text{solvent}}=\frac{0.020/60}{0.400kg}\] \[=8.33\times {{10}^{-4}}mol\,k{{g}^{-1}}\]


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