The
Ksp of copper(I) bromide, CuBr, is 6.3
10
–9 . Calculate the molar solubility of copper bromide.
Solution
The solubility product constant of copper(I) bromide is 6.3
10
–9 .
The reaction is:
First, write out the solubility product equilibrium constant expression:
Create an ICE table (as introduced in the chapter on fundamental equilibrium concepts), leaving the CuBr column empty as it is a solid and does not contribute to the
Ksp :
At equilibrium:
Therefore, the molar solubility of CuBr is 7.9
10
–5M .
Check your learning
The
Ksp of AgI is 1.5
10
–16 . Calculate the molar solubility of silver iodide.
Note that solubility is not always given as a molar value. When the solubility of a compound is given in some unit other than moles per liter, we must convert the solubility into moles per liter (i.e., molarity) in order to use it in the solubility product constant expression.
[link] shows how to perform those unit conversions before determining the solubility product equilibrium.
Determination of
Ksp From gram solubility
Many of the pigments used by artists in oil-based paints (
[link] ) are sparingly soluble in water. For example, the solubility of the artist’s pigment chrome yellow, PbCrO
4 , is 4.6
10
–6 g/L. Determine the solubility product equilibrium constant for PbCrO
4 .
Oil paints contain pigments that are very slightly soluble in water. In addition to chrome yellow (PbCrO
4 ), examples include Prussian blue (Fe
7 (CN)
18 ), the reddish-orange color vermilion (HgS), and green color veridian (Cr
2 O
3 ). (credit: Sonny Abesamis)
Solution
We are given the solubility of PbCrO
4 in grams per liter. If we convert this solubility into moles per liter, we can find the equilibrium concentrations of Pb
2+ and
then
Ksp :
Use the molar mass of PbCrO
4to convert the solubility of PbCrO
4 in grams per liter into moles per liter:
The chemical equation for the dissolution indicates that 1 mol of PbCrO
4 gives 1 mol of Pb
2+ (aq) and 1 mol of
Thus, both [Pb
2+ ] and
are equal to the molar solubility of PbCrO
4 :
The solubility of TlCl [thallium(I) chloride], an intermediate formed when thallium is being isolated from ores, is 3.46 grams per liter at 20 °C. What is its solubility product?
the study of living organisms and their interactions with one another and their environment.
Wine
discuss the biological phenomenon and provide pieces of evidence to show that it was responsible for the formation of eukaryotic organelles in an essay form