NEET AIPMT SOLVED PAPER SCREENING 2010

  • question_answer
    A solution of sucrose   (molar mass \[=342\,g\,\,\text{mo}{{\text{l}}^{-1}}\]) has been prepared by dissolving 68.5 g of sucrose in 1000 g of water. The freezing point of the solution obtained will be (\[{{k}_{f}}\] for water \[=1.86\,\,K\,\,kg\,\,mo{{l}^{-1}}\])

    A) -0.372°C 

    B)                        -0.520°C

    C) + 0.372°C            

    D)        - 0.570° C

    Correct Answer: A

    Solution :

    Depression in freezing point, \[\Delta {{T}_{f}}={{k}_{f}}\times m\] where, m = molality\[=\frac{{{w}_{B}}\times 1000}{{{M}_{B}}\cdot {{W}_{A}}}\] \[=\frac{68.5\times 1000}{342\times 1000}=\frac{68.5}{342}\] \[\Delta {{T}_{f}}=1.86\times \frac{68.5}{342}\] \[=0.372{{\,}^{o}}C\] \[\Delta {{T}_{f}}={{T}^{o}}-{{T}_{s}}\] \[=0-{{0.372}^{o}}C\] \[=-{{0.372}^{o}}C\]


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