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1) Solid ammonium sulfide is slowly added to 75.0mL of a 0.0542M calcium acetate

ID: 959027 • Letter: 1

Question


1) Solid ammonium sulfide is slowly added to 75.0mL of a 0.0542M calcium acetate solution. The concentration of sulfide ion required to just initiate precipitation is _____ M.
2) Solid magnesium acetate is slowly added to 50.0mL of a 0.0463M sodium fluoride solution. The concentration of magnesium ion required to just initiate precipitation is _____ M. Solid ammonium sulfide is slowly added to 75.0 ml of a 0.0542 M calcium acetate solution. The concentration of sulfide ion required to just initiate precipitation is M.

Explanation / Answer

Precipitation occurs when Ionic product(Qp) > Solubility product(KsP)

It means the minimum concentration of ions for which Ksp will come out will be the just start of precipitation.

1.For CaS we want to find out [S] = ?

For CaS we write,

CaS < ------------ > Ca2+ + S2-

Let S be the solubilty of CaS in moles/L and hence [Ca2+] = S mole/L and [S2-] = S moles/L.

Ksp is defined as,

Ksp = [Ca2+][S2-]

Ksp =S x S

Ksp = S2.

Ksp = 8 x 10-6.

S2 = 8x 10-6

S = 2.83 x 10-3 moles/L

i.e. [S2-] = S = 2.83 x 10-3 moles/L

This is the concentration of Sulphide ions to just initiate the precipitation. Above this concentration precipitation will certainly occur.

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2) for, MgF2 Magnesium fluoride, Ksp = 6.4 x 10-9

For MgF2 we write,

MgF2 -----------> Mg2+ + 2 F-

Let S be the solubility of MgF2 salt hence, [Mg2+]= S moles/L and [F-] = 2S moles/L

Ksp = [Mg2+][F-]2

Ksp = (S) x (2S)2

Ksp = 4 S3

4S3 = Ksp

4S3 =6.4 x 10-9

S3 = (6.4 x 10-9) / 4

S3 = 1.6 x 10-9

S = (1.6 x 10-9)1/3

S = 1.17 x10-3 moles/L

Hence [F-] = 2 x S = 2 x 1.17 x 10-3 moles/L

[F-]= 2.34 x 10-3 moles/L

This is the minimum fluoride ion concentration to precipitation to just start above this concentration precipitation will certainly occur.