DUMET Medical DUMET Medical Solved Paper-2011

  • question_answer
    \[1\times {{10}^{-3}}m\] solution of \[Pt{{(N{{H}_{3}})}_{4}}C{{l}_{4}}\] in \[{{H}_{2}}O\]shows depression in freezing point by\[{{0.0054}^{o}}C\]. The structure of the compound will be [Given, \[{{K}_{f}}({{H}_{2}}O)=1.860\,\,k{{m}^{-1}}\]]

    A)  \[[Pt{{(N{{H}_{3}})}_{4}}]C{{l}_{4}}\]

    B)  \[[Pt{{(N{{H}_{3}})}_{3}}]C{{l}_{3}}\]

    C)  \[[Pt{{(N{{H}_{3}})}_{2}}C{{l}_{2}}]C{{l}_{2}}\]

    D)  \[[Pt(N{{H}_{3}})C{{l}_{3}}]Cl\]

    Correct Answer: C

    Solution :

    \[\Delta {{T}_{f}}=i{{K}_{f}}m\] or \[i=\frac{\Delta {{T}_{f}}}{{{K}_{f}}\times m}\] \[=\frac{0.0054}{1.86\times 1\times {{10}^{-3}}}\] = 2.9 \[=i\approx 3\] Thus, each molecule of the complex dissociates to form three ions. This can be so only if the formula of the complex is\[[Pt{{(N{{H}_{3}})}_{2}}C{{l}_{2}}]C{{l}_{2}}\].


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