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

  • question_answer
    Freezing point of a biological fluid is \[-0.60{}^\circ C\]in aqueous solution \[{{K}_{f}}({{H}_{2}}O)=\text{ }1.86{}^\circ mo{{l}^{-}}~kg.\] Thus, its osmotic pressure at 310 K is (assume molarity = molality)

    A) 0.0766 atm       

    B) 7.66 atm

    C) 0.766 atm         

    D) 8.19 atm

    Correct Answer: D

    Solution :

    [d] \[\Delta {{T}_{f}}=molality\times {{K}_{f}}\] \[0.60{}^\circ =molality\times 1.86{}^\circ mo{{l}^{-1}}kg\]. Given molality = molarity \[\therefore Molality=\frac{0.60}{1.86}=0.322mol\,k{{g}^{-1}}\] Or molarity\[=0.301\,mol\,{{L}^{-1}}\] Also, \[\pi =MRT=0.322\times 0.0821\times 310=8.19atm\]


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