NEET AIPMT SOLVED PAPER MAINS 2011

  • question_answer
    A 0.1 molal aqueous solution of a weak acid is 30% ionised. If \[{{K}_{f}}\] for water is\[1.86{}^\circ C/m\], the freezing point of the solution will be

    A)  \[-0.18{}^\circ C\]          

    B)  \[-0.54{}^\circ C\]          

    C)  \[-0.36{}^\circ C\]         

    D)  \[-0.24{}^\circ C\]

    Correct Answer: D

    Solution :

    Freezing point depression\[(\Delta {{T}_{f}})=i{{K}_{f}}m\] \[\underset{\begin{smallmatrix}  1-\alpha  \\  1-0.3 \end{smallmatrix}}{\mathop{\text{HA}}}\,\xrightarrow[{}]{{}}\underset{\begin{smallmatrix}  \alpha  \\  0.3 \end{smallmatrix}}{\mathop{{{\text{H}}^{\text{+}}}}}\,+\underset{\begin{smallmatrix}  \alpha  \\  0.3 \end{smallmatrix}}{\mathop{{{\text{A}}^{-}}}}\,\] \[i=1-0.3+0.3+0.3\] \[i=1.3\] \[\therefore \]  \[\Delta {{T}_{f}}=1.3\times 1.86\times 0.1={{0.2418}^{o}}C\]                 \[{{T}_{f}}=0-{{0.2418}^{o}}C\]                 \[=-{{0.2418}^{o}}C\]


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