Precipitation Reactions
A precipitation reaction occurs when water solutions of two different ionic compounds are mixed and an
insoluble solid
insoluble solid separates out of solution.
KCl + AgNO
3AgCl + KNO
3The precipitate is itself ionic; the cation comes from one
solution and the anion from another.
• Solubility of a compound = concentrations of a concentrations of a soluble species at equilibrium with its insoluble soluble species at equilibrium with its insoluble
form.
form.
• If the compound is sparingly soluble, it will produce cation & anion.
• AgCl slightly dissolved in water. So AgCl has a specific solubility, s = solid phase aq = aqueous phase
AgCl (s) Ag
+(aq)+ Cl
-(aq)
• The equilibrium constant for the reaction is known as equilibrium constant solubility product constant.
K
sp(AgCl) = [Ag
+][Cl
-]
• Concentration of any solid (AgCl) is constant and is combined in the equilibrium constant to give K
sp• Solubility product constants are used to describe Solubility product constants
saturated solutions of ionic compounds of relatively low solubility.
• A saturated solution is in a state of dynamic
equilibrium between the dissolved, dissociated, ionic
compound and the undissolved solid.
What is the solubility of AgCl?
AgCl Ag
++ Cl
–K
sp= [Ag
+][Cl
–] = 1.2 10
–10dur.
Solubility of AgCl:
K
çç= [Ag
+][Cl
–] = 1.2 10
–10den;
[Ag
+] = [Cl
–] = = 1.1 10
-5mol/L
that a saturated solution contains only about 1.1 10
-5moles
of AgCl per liter of water.
Solubility of Ag
2CrO
4Ag
2CrO
4 2Ag
++ CrO
42–K
sp= [Ag
+]
2[CrO
42–] = 1.1 10
–12dir.
(2x)
2. x = 1.1 10
–124x
3= 1.1 10
–12x = solubility (s) = 6.5 10
-5mol/L
Solubility of Ba(IO3)2 is 4.5 10–4 mol/L. What is the Ksp value?
Ba(IO3)2 Ba2+ + 2IO3–
Ksp = [Ba2+][IO3–]2 = (4.5 10–4 )(2 x 4.5 10–4)2 = 3.65 10–10
Which halide precipitates out first?
•K
spAgCl = 1.2 10
-10,
•K
spAgBr = 5.0 10
-13,
•K
spAgI = 4.5 10
-17•
Answer: AgIA mixture of 0.01M Sr
2+ve 0.1M Ca
2+is titrated with (NH
4)
2C
2O
4.Which oxalate precipitates out first?
• Ksp SrC2O4 = 5.6 10–10 Ksp CaC2O4 = 1.3 10–9
[Sr2+] [C2O42–] = 5.6 10–10 [Ca2+] [C2O42–] = 1.3 10–9 (0.01) [C2O42–] = 5.6 10–10 (0.1) [C2O42–] = 1.3 10–9 [C2O42–] = 5.6 10–8 [C2O42–] = 1.3 10–8 Answer: CaC2O4
A mixture of 0.01M Cl
-ve 0.01M
CrO
4-is titrated with Ag
+.Which one precipitates out first?
• Ksp AgCl = 1.2 10–10 ve Ksp Ag2CrO4 = 1.1 10–12
Ksp AgCl = [Ag+] (0.01) = 1.2 10–10 den [Ag+] = 1.2 10–8 M Ksp Ag2CrO4 = [Ag+]2 (0.01) = 1.1 10–12 den [Ag+] = 1.0 10–5 M
Answer: AgCl
10
SnS(s) Sn
2+(aq)
+ S
2-(aq)
26 2
2
sp
[Sn
][S
] 1.0 x 10
K
s
2s
s
( )( ) 10
x
1.0
26M s 1.0 x 10
13Calculate the solubility of SnS at 25°C.
11
Pb
2+(aq)
+ CrO
42-(aq) PbCrO
4(s)
M
s
75
10 x g 1.4
323.2 x mol
L
g 10
x
4.5
] ][CrO
[Pb
2 422 sp
s K
14 7
7
sp
[1.4 x 10
M ][1.4 x 10
M ] 2.0 x 10
K
The solubility of lead(II) chromate (PbCrO4) is 4.5 x 105 g/L. Calculate the solubility product (Ksp) of lead(II) chromate.
12
• Precipitation can be predicted
• Compare the reaction quotient (Q) to the Ksp
where “i” designates the initial concentration
• Q < Ksp no precipitate will form
• Q > Ksp precipitate will form until Q = Ksp
n i i
Q [M
n] [X
]
MX
n(s) M ⇄
n+(aq) + nX
(aq)
13
BaSO
4(s) Ba
2+(aq) + SO
42-(aq)
2 10 4 2
sp
[Ba
][SO
] 1.1 x 10
K
10
10x 1.1 )
(0.00100 )
( )
)(0.00100
( s M s s M
M s 1.1 x 10
7Calculate the molar solubility of BaSO4 in 0.0010 M Na2SO4.