NEET Chemistry Solutions / विलयन Question Bank Self Evaluation Test - Solutions

  • question_answer
    At\[17{}^\circ C\], the osmotic pressure of sugar solution is 580 torr. The solution is diluted and the temperature is raised to \[57{}^\circ C,\] when the osmotic pressure is found to be 165 torr. The extent of dilution is:

    A) 2 times             

    B) 3 times

    C) 4 times                         

    D) 5 times

    Correct Answer: C

    Solution :

    [c] \[{{\pi }_{1}}=\frac{nR{{T}_{1}}}{{{V}_{1}}},{{\pi }_{2}}=\frac{nR{{T}_{2}}}{{{V}_{2}}}\] Hence \[\frac{{{\pi }_{1}}}{{{\pi }_{2}}}=\frac{580}{165}=\frac{{{V}_{2}}{{T}_{1}}}{{{V}_{1}}{{T}_{2}}}=\frac{{{V}_{2}}\times 290}{{{V}_{1}}\times 330}\] \[\Rightarrow \frac{{{V}_{2}}}{{{V}_{1}}}=4\]


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