R-6 
 
E
ref 
  =  E
ref  
-  
0.
0592
n
log Q
ref  
 
Thus, Q = 1/1 and log Q reduces to zero, so that E
ref
 = E°
ref
.  The second step is to substitute the value 
for E
ref
 into equation (7) as E
red
 if the reference half-cell is the cathode, or as E
ox
 if the reference half-cell 
is the anode.  The value of E
cell
 will be measured so E
test
 can be calculated.  The final step will be to 
calculate the Q
test
 using: 
 
 
E
test
  =  E
test  
-  
0.
0592
n
log Q
test  
 
From Q
test
, you can calculate the concentration of the metal ion in the test solution. 
 
If using equation (8), E
cell 
 may be used directly with the concentration of the metal ion in the test half-
cell being the only unknown in the Q
cell
 factor.  The value of E
cell 
 is found using standard potentials for 
each half-cell. 
 
D.  Solubility Product and Formation Constant 
 
Solubility product constants, K
sp
, and formation constants, K
f
, are equilibrium constants for specific 
kinds of reactions.  The value of K
sp
 is the equilibrium constant for the dissociation of a solid in contact 
with a saturated solution of its ions.  The concepts of solubility product constants have been applied 
extensively in the laboratory and are discussed in more detail in your textbook. 
 
The formation constant, K
f
, is the equilibrium constant for the formation of a complex ion from its 
component metal ion and ligands.  You have encountered complex ion formation in several previous 
experiments.  In this experiment, you will measure potential of a test cell containing a saturated solution 
of a metal salt, and of a test cell containing a solution of a complex ion.  You will calculate the respective 
metal ion concentration in these cells, and then the values of K
sp
 and of K
f
. 
 
EXPERIMENTAL METHOD 
 
Determination of Anode and Cathode