JEE Main & Advanced Sample Paper JEE Main - Mock Test - 29

  • question_answer
    Equimolal solution of \[KCl\] and compound \[X\] in water show depression in freezing point in the ratio of\[4:1\]. Assuming \[KCl\]to be completely ionized, the compound X in solution must

    A) Dissociate to the extent of\[50%\]                      

    B) Hydrolyse to the extent of \[80%\]

    C) Dimerize to the extent of \[50%\]                       

    D) Trimerise to the extent of \[75%\]

    Correct Answer: D

    Solution :

    [d] \[\underset{(p\,\,moles)}{\mathop{KCl}}\,\]    and  \[\underset{(p\,\,moles)}{\mathop{X}}\,\] \[\Delta {{T}_{f}}(KCl)=i{{K}_{f}}m=2{{K}_{f}}m\]\[\Delta {{T}_{f}}(X)=i{{K}_{f}}m=\frac{1}{4}(2{{K}_{f}}m)\Rightarrow i=\frac{\alpha }{2}(<1)\] \[\underset{1-\alpha }{\mathop{\underset{1}{\mathop{2X}}\,}}\,\underset{\alpha /2}{\mathop{\underset{0}{\mathop{{{X}_{2}}}}\,}}\,\] \[i=1-\alpha +\frac{\alpha }{2}=1-\frac{\alpha }{2}\Rightarrow \alpha =100%\] \[\underset{1-\alpha }{\mathop{\underset{1}{\mathop{3X}}\,}}\,\underset{\alpha /3}{\mathop{\underset{0}{\mathop{{{X}_{3}}}}\,}}\,\] \[i=1-\alpha +\frac{\alpha }{3}=1-\frac{2\alpha }{3}=\frac{\alpha }{2}\Rightarrow \alpha \frac{3}{4}=75%\]


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