AMU Medical AMU Solved Paper-2002

  • question_answer
    The solubility of \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\] is s mol/L. Its solubility product is

    A)  \[72\,{{s}^{5}}\]                              

    B)  \[108\,{{s}^{5}}\]

    C)  \[9\,{{s}^{2}}\]                                

    D)  \[8\,{{s}^{3}}\]

    Correct Answer: B

    Solution :

                     The solubility of \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}\] is s mol/L. It ionises as                 \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}3C{{a}^{2+}}+2PO_{4}^{3-}\]                 \[{{K}_{sp}}={{[C{{a}^{2+}}]}^{3}}\,{{[PO_{4}^{3-}]}^{2}}\]                 \[={{(3\,s)}^{3}}\,{{(2\,s)}^{2}}\]                 \[=27\,{{s}^{3}}\times 4{{s}^{2}}\]                 \[{{K}_{sp}}=108\,{{s}^{5}}\]


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