KVPY Sample Paper KVPY Stream-SX Model Paper-8

  • question_answer
    Elevation in the boiling point for 1 molal solution of glucose is 2 K. The depression in the freezing point for 2 molal solution of glucose in the same solvent is 2 K. The relation between \[{{K}_{b}}\] and \[{{K}_{f}}\] is:

    A) \[{{K}_{b}}=1.5{{K}_{f}}\]                 

    B) \[{{K}_{b}}={{K}_{f}}\]

    C) \[{{K}_{b}}=0.5{{K}_{f}}\]                 

    D) \[{{K}_{b}}=2{{K}_{f}}\]

    Correct Answer: D

    Solution :

    • \[\Delta {{T}_{b}}={{K}_{b}}m\]
    • \[\Delta {{T}_{b}}={{K}_{b}}\times 1\Rightarrow 2={{K}_{b}}\]
    • \[\Delta {{T}_{f}}={{K}_{f}}m\]
    • \[2=2{{K}_{f}}={{K}_{f}}\]
    • \[\frac{{{K}_{f}}}{{{K}_{b}}}=\frac{1}{2}.\]


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