What is the solubility product constant for silver phosphate if the solubility of Ag3PO4 is 4.4× 10-5M ?

Question

What is the solubility product constant for silver phosphate if the solubility of Ag3PO4 is 4.4× 10-5M ? (A)  3.7× 10-16  (B)  1.0× 10-16  (C)  5.8× 10-9  (D)  9.1× 10-16

Tardigrade Admin · Accepted Answer

For Ag3PO4, if s is solubility, then Ksp=(3s3)(s)=27s4=27 (4.4× 10-5)4 =10-16

Q. What is the solubility product constant for silver phosphate if the solubility of $A g_{3} P O_{4}$ is $4.4 \times 10^{- 5} M$ ?

$3.7 \times 10^{- 16}$

$1.0 \times 10^{- 16}$

$5.8 \times 10^{- 9}$

$9.1 \times 10^{- 16}$

For $A g_{3} P O_{4},$ if s is solubility, then $K_{s p} = (3 s^{3}) (s) = 27 s^{4} = 27 (4.4 \times 10^{- 5})^{4}$ $= 10^{- 16}$

Q. What is the solubility product constant for silver phosphate if the solubility of Ag3​PO4​ is 4.4×10−5M ?

3.7×10−16

1.0×10−16

5.8×10−9

9.1×10−16