A) \[8{{s}^{3}}\]
B) \[9{{s}^{2}}\]
C) \[108{{s}^{5}}\]
D) \[72{{s}^{2}}\]
Correct Answer: C
Solution :
\[\underset{\begin{smallmatrix} \text{s mole litr}{{\text{e}}^{-1}} \\ \text{(soluble)} \end{smallmatrix}}{\mathop{{{a}_{3}}{{(P{{O}_{4}})}_{2}}}}\,\xrightarrow{{}}\underset{\begin{smallmatrix} \text{3s mole} \\ \text{litr}{{\text{e}}^{-1}} \end{smallmatrix}}{\mathop{3C{{a}^{2+}}}}\,+\underset{\begin{smallmatrix} \text{2s mole} \\ \text{litr}{{\text{e}}^{-1}} \end{smallmatrix}}{\mathop{2P{{O}_{4}}^{3-}}}\,\] \[{{K}_{sp}}\] of \[C{{a}_{3}}{{(P{{O}_{4}})}_{2}}=3{{[C{{a}^{+\,+}}]}^{3}}+{{[P{{O}_{4}}^{3-}]}^{2}}\] \[={{(3s)}^{3}}\times {{(2s)}^{2}}\] \[=27{{s}^{3}}\times 4{{s}^{2}}=108{{s}^{5}}\]
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