(A) The dissociation of $Zr_3(PO_4)_4$ is given by: $Zr_3(PO_4)_{4(s)} \rightleftharpoons 3Zr^{4+}{(aq)} + 4PO_4^{3-}{(aq)}$. Let the molar solubilit

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(A) The dissociation of $Zr_3(PO_4)_4$ is given by: $Zr_3(PO_4)_{4(s)} \rightleftharpoons 3Zr^{4+}{(aq)} + 4PO_4^{3-}{(aq)}$. Let the molar solubility be $S$. Then the concentrations of the ions are $[Zr^{4+}] = 3S$ and $[PO_4^{3-}] = 4S$. The solubility product expression is $K_{SP} = [Zr^{4+}]^3 [PO_4^{3-}]^4$. Substituting the values: $K_{SP} = (3S)^3 \cdot (4S)^4 = (27S^3) \cdot (256S^4) = 6912S^7$. Solving for $S$: $S^7 = K_{SP} / 6912$,which gives $S = (K_{SP} / 6912)^{1/7}$.

Class 11 Chemistry 6-2.Equilibrium-II (Ionic Equilibrium)Solubility product

If the solubility product of $Zr_3(PO_4)_4$ is denoted by $K_{SP}$ and its molar solubility is denoted by $S$,then which of the following relations between $S$ and $K_{SP}$ is correct?

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A
$S = (K_{SP} / 6912)^{1/7}$
B
$S = (K_{SP} / 144)^{1/6}$
C
$S = (K_{SP} / 929)^{1/9}$
D
$S = (K_{SP} / 216)^{1/7}$

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If the solubility product of $Zr_3(PO_4)_4$ is denoted by $K_{SP}$ and its molar solubility is denoted by $S$,then which of the following relations between $S$ and $K_{SP}$ is correct?

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The molar solubility $(mol \ L^{-1})$ of a sparingly soluble salt $MX_4$ is $s$. The corresponding solubility product is $K_{sp}$. $s$ is given in terms of $K_{sp}$ by the relation:

The molar solubility (in $mol \cdot L^{-1}$) of a sparingly soluble salt $MX_4$ is $S$. The corresponding solubility product is $K_{sp}$. $S$ in terms of $K_{sp}$ is given by the relation:

For which sparingly soluble salt is the relationship between $K_{sp}$ and $S$ (solubility) given by $S = (K_{sp} / 4)^{1/3}$?

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Assertion : Addition of silver ions to a mixture of aqueous sodium chloride and sodium bromide solution will first precipitate $AgBr$ rather than $AgCl$.
Reason : $K_{sp}$ of $AgCl < K_{sp}$ of $AgBr$.