KVPY Sample Paper KVPY Stream-SX Model Paper-5

  • question_answer
    If solubility product of \[Z{{r}_{3}}{{\left( P{{O}_{4}} \right)}_{4}}\] is denoted by \[{{K}_{sp}}\] and its molar solubility is denoted by S, then which of the following   relation between S and \[{{K}_{sp}}\]  is correct ?

    A) \[S={{\left( \frac{{{K}_{sp}}}{216} \right)}^{\text{1/7}}}\]                  

    B) \[S={{\left( \frac{{{K}_{sp}}}{6912} \right)}^{\text{1/7}}}\]

    C) \[S={{\left( \frac{{{K}_{sp}}}{144} \right)}^{\text{1/6}}}\]                  

    D) \[S={{\left( \frac{{{K}_{sp}}}{929} \right)}^{\text{1/9}}}\]

    Correct Answer: B

    Solution :

    \[Z{{r}_{3}}{{(P{{O}_{4}})}_{4}}\] \[{{K}_{sp}}={{(3S)}^{3}}{{(4S)}^{4}}\] \[\Rightarrow \] \[{{K}_{sp}}=6912{{S}^{7}}\] \[S={{\left( \frac{{{K}_{sp}}}{6912} \right)}^{1/7}}.\]

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