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Chemistry Question on Law Of Chemical Equilibrium And Equilibrium Constant

The concentration of sulphide ion in 0.1M HCl solution saturated with hydrogen sulphide is 1.0 × 10–19 M. If 10 mL of this is added to 5 mL of 0.04 M solution of the following: FeSO4, MnCl2, ZnCl2 and CdCl2. in which of these solutions precipitation will take place?

Answer

For precipitation to take place, it is required that the calculated ionic product exceeds the Ksp value. Before mixing: [S2-] = 1.0 × 10-19 M
[M2+] = 0.04M Volume = 10 mL Volume = 5mL
After mixing: [S2-] =?
[M2+] = ?
Volume = (10 + 15) = 15mL Volume = 15mL
[S2-] = 1.0×1019×1015\frac{1.0 × 10 ^{-19} × 10 }{15} = 6.67 × 10-20 M
[M2+] = 0.04×515\frac{0.04 × 5 }{15} = 1.33 × 10-2 M
Ionic product = [M2+] [S2-] = (1.33 × 10-2)(6.67 × 10-20) = 8.87 × 10-22
This ionic product exceeds the Ksp of Zns and CdS. Therefore, precipitation will occur in CdCl2 and ZnCl2 solutions.