Find out the formula and solubility product constant of salt if concentration of ions (solubility of A ion and B ion) curve is given below (concentration is in nano molar)

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${AB}_{2}, 5 \times 10^{- 18} M^{3}$

$A_{2} B_{3}, 2.5 \times 10^{- 35} M^{5}$

$AB, 5 \times 10^{- 17} M^{2}$

$A_{2} B, 2.5 \times 10^{- 28} M^{3}$

answer is C.

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Detailed Solution

$\begin{array}{l} A B ⇌ A^{+} + B^{-} \\ K_{s p} = [A^{+}] [B^{-}] = 5 \times 10^{- 9} \times 10 \times 10^{- 9} \\ = 50 \times 10^{- 18} = 5 \times 10^{- 17} M^{2} \end{array}$

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