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Solubility Product

Which of the ...

Question

Which of the following pairs of salts will have the same relation between solubility product $(K_{s p})$ and solubility (s)?

A_{2} B a n d B

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A_{3} B_{2} a n d A_{2} B_{3}

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A B_{3} a n d A B_{2}

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A B_{3} a n d A_{2} B

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Solution

The correct option is B $A_{3} B_{2} a n d A_{2} B_{3}$
$A_{3} B_{2} ⇋ 3 A^{2 +} + 2 B^{3 -}$
3s 2s
so, $K_{s p} = (3 s)^{3} (2 s)^{2} = 108 s^{4}$
and
$A_{2} B_{3} ⇋ 2 A^{3 +} + 3 B^{2 -}$
2s 3s
$K_{s p} = (2 s)^{2} (3 s)^{3} = 108 s^{4}$

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