For which of the following sparingly soluble salt, the solubility (s) and solubility product (Ksp) are related by the expression s=(Ksp/4)1/3 ?

Question

For which of the following sparingly soluble salt, the solubility (s) and solubility product (Ksp) are related by the expression s=(Ksp/4)1/3 ? (A)  BaSO4  (B)  Ca3(PO4)2  (C)  Hg2Cl2  (D)  Ag3PO4

Tardigrade Admin · Accepted Answer

Hg2Cl2 leftharpoons undersets mathopHg22+ + underset2s mathop2Cl- Ksp=[Hg22+][Cl-]2 =(s)(2s)2 Ksp=4s3 s=( (Ksp/4) )1/3

Q. For which of the following sparingly soluble salt, the solubility (s) and solubility product $(K_{s p})$ are related by the expression $s = (K_{s p} /4)^{1/3}$ ?

$B a S O_{4}$

$C a_{3} (P O_{4})_{2}$

$H g_{2} C l_{2}$

$A g_{3} P O_{4}$

$C u S$

$H g_{2} C l_{2} ⇌ s H g_{2}^{2 +} + 2 s 2 C l^{-}$
$K_{s p} = [H g_{2}^{2 +}] [C l^{-}]^{2}$
$= (s) (2 s)^{2}$
$K_{s p} = 4 s^{3}$
$s = (\frac{K _{s p}}{4})^{1/3}$

Q. For which of the following sparingly soluble salt, the solubility (s) and solubility product (Ksp​) are related by the expression s=(Ksp​/4)1/3 ?

BaSO4​

Ca3​(PO4​)2​

Hg2​Cl2​

Ag3​PO4​

CuS

Hg2​Cl2​⇌sHg22+​​+2s2Cl−​ Ksp​=[Hg22+​][Cl−]2 =(s)(2s)2 Ksp​=4s3 s=(4Ksp​​)1/3