The correct equation relating solubility and solubility product for the sparingly soluble salt with the general molecular formula AB2 is

Question

The correct equation relating solubility and solubility product for the sparingly soluble salt with the general molecular formula AB2 is (A)  S = [4Ksp]1/3  (B)  S=22/3 [Ksp]-1/3  (C)  S=[4Ksp]-1/3  (D)  S=2-2/3 [Ksp]1/3

Tardigrade Admin · Accepted Answer

AB2leftharpoons A2++2B- Ksp=(S)× (2S)2 Ksp=4S3 ⇒ S=√[(1/3)](Ksp/4)=2 -(2/3)[Ksp]1 /3

Q. The correct equation relating solubility and solubility product for the sparingly soluble salt with the general molecular formula $A B_{2}$ is

$S = [4 K_{s p}]^{1/3}$

$S = 2^{2/3} [K_{s p}]^{- 1/3}$

$S = [4 K_{s p}]^{- 1/3}$

$S = 2^{- 2/3} [K_{s p}]^{1/3}$

$A B_{2} ⇌ A^{2 +} + 2 B^{-}$
$K_{s p} = (S) \times (2 S)^{2}$
$K_{s p} = 4 S^{3}$
$\Rightarrow S = \frac{1}{3} \frac{K _{s p}}{4} = 2^{- \frac{2}{3}} [K_{s p}]^{1/3}$

Q. The correct equation relating solubility and solubility product for the sparingly soluble salt with the general molecular formula AB2​ is

S=[4Ksp​]1/3

S=22/3[Ksp​]−1/3

S=[4Ksp​]−1/3

S=2−2/3[Ksp​]1/3