The solubility product constants of Ag2CrO4 and AgBr are 32x and 4y respectively at 298 K. The value of ( molarity of Ag2CrO4molarity of AgBr ) can be expressed as :
- 2 [3]xy
- 2 xy
- xy
- [3]x y
Answer
(4) [3]x y
Solution
Let s1 and s2 be the molar solubilities of Ag2CrO4 and AgBr.
Ag2CrO4(s) 2Ag+ + CrO42- ⇒ Ksp = (2s1)2(s1) = 4s13
⇒ 4s13 = 32x
⇒ s13 = 8x ⇒ s1 = 2 [3]x
AgBr(s) Ag+ + Br- ⇒ Ksp = s22
⇒ s22 = 4y ⇒ s2 = 2 y
∴ s1s2 = 2 [3]x2 y = [3]x y
Answer: (4)