NEET AIPMT SOLVED PAPER 2002

  • question_answer
                    Solubility of \[M{{X}_{2}}\]-type electrolytes is \[0.5\times {{10}^{-4}}mol/L\] Then find out if \[{{K}_{sp}}\] of electrolytes:

    A)                                                                                                                                                                                            \[5\times {{10}^{-12}}\]

    B)                 \[25\times {{10}^{-10}}\]             

    C)                 \[1\times {{10}^{-13}}\]

    D)                 \[5\times {{10}^{-13}}\]

    Correct Answer: D

    Solution :

                    \[\underset{\begin{smallmatrix}  \text{Solubility}\,0.5\times {{10}^{-4}} \\  \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,M \end{smallmatrix}}{\mathop{M{{X}_{2}}}}\,\xrightarrow{\,}\,\underset{\begin{smallmatrix}  0.5\times {{10}^{-4}} \\  \,\,\,\,\,\,M \end{smallmatrix}}{\mathop{{{M}^{2+}}}}\,+\underset{\begin{smallmatrix}  2\times 0.5\times {{10}^{-4}} \\  \,\,\,\,\,\,\,\,M \end{smallmatrix}}{\mathop{2{{X}^{-}}}}\,\]                 (on 100% ionization)                 \[\therefore \,\,{{K}_{s}}p\] of \[M{{X}_{2}}=[{{M}^{2+}}]\,{{[{{X}^{-}}]}^{2}}\]                 \[=(0.5\times {{10}^{-4}})\,{{(1.0\times {{10}^{-4}})}^{2}}\]                 \[=0.5\times {{10}^{-12}}=5\,\times {{10}^{-13}}\]                                


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