Chemical Equilibrium:
Determination of an Equilibrium Constant of a Complex.
I. Introduction.
This experiment outlines the techniques necessary to determine the equilibrium constant for the formation of an iron(III) thiocyanate complex ion (FeSCN2+) from Fe3+ and SCN- . The quantitative preparation of several solutions and subsequent measurement of the solution absorbance using a spectrophotometer are the techniques that will be used in this experiment. The absorbance measurement gives the concentration of FeSCN2+. The concentrations of Fe3+ and SCN- are obtained as the difference between the initial concentration and the concentration consumed by the formation of the FeSCN2+. The combined concentrations will be used to calculate an equilibrium constant for the formation of the complex. 
The reaction for the formation of the dark red FeSCN2+ complex ion is very simple:
Fe3+ + SCN- ® FeSCN2+   (1)


It has an equilibrium constant, K, given by:

The FeSCN2+  complex that is formed as a result of reaction between iron(III) and thiocyanate ions has a very intense blood red color (or orange in dilute solution), allowing for easy detection and quantitative determination by spectrophotometry. Reactants ( Fe3+ and SCN-) are practically colorless. 
Starting with known amounts of iron(III) and thiocyanate, and measuring the amount of FeSCN2+  ion formed at equilibrium, one can calculate the equilibrium amounts of iron(III) and thiocyanate ions. From a knowledge of the equilibrium amounts of all three ions, the equilibrium constant for the reaction may be calculated.
II. Experimental Procedure.
The handling of the instrument will be demonstrated.
Ideally the five equilibrium constants obtained from the five sets of data should be the same. How closely they actually match will be a function of the care you take in carrying the experiment.
It is very important that you understand what you are doing at all times. Proper labeling should help.
A. Standard Solution.
The instrument must be calibrated by a solution in which the concentration of the complex ion is known. This is accomplished by preparing one solution where the starting concentration of iron(III) ions exceeds the starting concentration of thiocyanate ions by two orders of magnitude. Under these conditions, of excess iron, it may be safety assumed that all the original thiocyanate will have been used to form the complex ion (LeChâtelier's principle). Thus the concentration of the complex may be assumed to be equal to the initial concentration of thiocyanate. The concentration of the complex in all the other solutions is then determined by the instrument as a fraction of the concentration of the complex in this, the standard solution.

Pipet  5.0 mL of 0.10 M iron(III) nitrate into each of five 150 mm test tube. Add the following amounts of KSCN and diluted nitric acid to each of the tubes:
#1   0 mL KSCN  and 5 mL nitric acid
#2   0.2 mL KSCN  and 4.8 mL nitric acid
#3   0.4 mL KSCN  and 4.6 mL nitric acid
#4   0.6 mL KSCN  and 4.4 mL nitric acid
#5   0.8 mL KSCN  and 4.6 mL nitric acid

 Mix them well. Label it. This is your calibration set of solutions. It is assumed that the concentration of the FeSCN2+ complex in this solution is exactly equal to total concentration of SCN.
Using the EXCEL program, plot  the Absorbance (A) as a function of thiocyanate concentration; this is your calibration curve. The trend line should be a straight line with the slope of e and intercept b
A=e C+b

You will use the value of e in further calculations.

B. Working Solutions.
Label five 150 mm test tubes from 1 to 5. Pipet 5.0 mL of 2.0 mM  Fe3+ into each. 
Add the following amounts of KSCN and diluted nitric acid to each of the tubes:
#1   0.5 mL KSCN  and 4.5 mL nitric acid
#2   1 mL KSCN  and 4 mL nitric acid
#3   2 mL KSCN  and 3 mL nitric acid
#4   3 mL KSCN  and 2 mL nitric acid
#5   4 mL KSCN  and 1 mL nitric acid
Total volume in each tube is 10 ml (check it!).
Measure  absorbance of each solution.

C. Determination of Absorbance
The Spectronic 20 spectrophotometer will be used to measure the amount of light being absorbed at 450 nm, the wavelength at which the thiocyanatoiron(III) complex absorbs visible light. Instrument controls will be demonstrated by your instructor. Connect the instrument to a 115 V AC outlet, and let it warm-up for 10-15 minutes. 
.

The instrument must be calibrated. Set the wavelength to 450 nm with the WAVELENGTH control.

With nothing in the CELL COMPARTMENT, use the DARK CURRENT control (the same control that turns the instrument on and off) to set the instrument to read 0% Transmittance (black scale).

Fill a cuvet with deionized water, and dry the outside and wipe it clean of fingerprints with Kimwipe. Insert the test tube into the CELL COMPARTMENT as far as it will go. Set the instrument to read 100% Transmittance with the LIGHT control. The instrument is now calibrated. The settings of the controls must not be changed from now on, or you will have to recalibrate.
Fill another cuvet with your solution.. Wipe the outside with tissue and then insert it into the CELL COMPARTMENT (after removing the test tube containing the deionized water, of course). Determine the absorbance and record it.
 

CALCULATIONS
Calculate initial concentrations of iron and of thiocyanate in each of your five solutions. 
Use your calibration to determine the concentration of  FeSCN2+
[ FeSCN2+]= A/e
Subtract the [ FeSCN2+] from the initial concentration of iron: this is your concentration of Fe3+ at equilibrium.
Subtract the [ FeSCN2+] from the initial concentration of thiocyanate: this is your concentration of SCN- at equilibrium.
Put the concentrations you have calculated in equation 

 Do this separately for each of the five solutions. Average the five values of the equilibrium constant.

 

Report

Chemical Equilibrium:
Determination of an Equilibrium Constant of a Complex.

Name:_______________________________________Date:_________________

III. Data/Report.
Calibration plot:
To calculate the concentration of KSCN, use proportion:
Concentration KSCN = (Standard concentration) x (Volume KSCN) / (Total volume)
Your standard concentration is 2.0 mM = 2.0x10-3 M
Total volume is 10 mL (check it).
Number  Volume KSCN Concentration KSCN Absorbance
1 0 0 0.
2 0.2
,M
0.
3 0.4
,M
0.
4 0.6
,M
0.
5 0.8
,M
_.

The slope of the calibration line is ___________
This is molar absorptivity of FeSCN2+ ion.

To calculate the initial concentration of SCN, use proportion:
Initial SCN concentration = (Standard concentration) x (Volume KSCN) / (Total volume)
Your standard concentration is 2.0 mM = 2.0x10-3 M
Total volume is 10 mL (check it).
To calculate the initial concentration of iron, use proportion:
Initial Fe concentration = (Standard concentration) x (Volume Fe) / (Total volume)
Your standard concentration is 2.0 mM = 2.0x10-3 M.
[ FeSCN2+]= A/e
 
No. VFe VSCN Initial Fe concentr. Initial SCN concentr. Absorb. [FeSCN2+] [Fe3+] [SCN-]  Kc (in M-1)
1
5.0
0.5
,M
,M
.
,M
,M
,M
.
2
5.0
1
,M
,M
.
,M
,M
,M
.
3
5.0
2
,M
,M
.
,M
,M
,M
.
4
5.0
3
,M
,M
.
,M
,M
,M
.
5
5.0
4
,M
,M
.
,M
,M
,M
.
Average: _._x10