Determining Equilibrium Constants Through Colorimetric Analysis

Expert reviewed 22 November 2024 4 minute read


Introduction

Colorimetry is a powerful analytical technique that uses the absorption of light by colored solutions to determine chemical concentrations. In HSC Chemistry, this method is particularly valuable for studying equilibrium systems, especially the iron(III) thiocyanate equilibrium.

The Iron(III) Thiocyanate Equilibrium System

The formation of the iron(III) thiocyanate complex involves a reversible reaction between iron(III) ions and thiocyanate ions:

Fe3+(aq)+SCN(aq)<=>FeSCN2+(aq){Fe^{3+}(aq) + SCN^-(aq) <=> FeSCN^{2+}(aq)}

This reaction produces a distinctive deep red complex, making it ideal for colorimetric analysis.

Understanding Beer-Lambert Law

The fundamental principle behind colorimetry is the Beer-Lambert Law:

A=εclA = \varepsilon c l

Where:

  • AA = absorbance
  • ε\varepsilon = molar absorptivity coefficient
  • cc = concentration in mol/L
  • ll = path length in cm

Experimental Procedure

1. Preparation of Standard Solutions

  • Create a series of standard solutions with known concentrations of FeSCN^{2+}
  • Maintain consistent total volumes
  • Include a blank solution (water) for calibration

2. Absorbance Measurements

  • Use a spectrophotometer set to 447 nm
  • Zero the instrument with the blank solution
  • Measure absorbance for each standard solution

3. Creating the Calibration Curve

Plot absorbance versus concentration of FeSCN^{2+}. This creates a linear relationship following Beer-Lambert Law.

4. Equilibrium Analysis

After measuring the equilibrium mixture's absorbance, calculate the equilibrium concentrations:

[Fe3+]eq=[Fe3+]initial[FeSCN2+]eq[Fe^{3+}]_{eq} = [Fe^{3+}]_{initial} - [FeSCN^{2+}]_{eq} [SCN]eq=[SCN]initial[FeSCN2+]eq[SCN^-]_{eq} = [SCN^-]_{initial} - [FeSCN^{2+}]_{eq}

5. Calculating K_{eq}

The equilibrium constant is determined using:

Keq=[FeSCN2+]eq[Fe3+]eq×[SCN]eqK_{eq} = \frac{[FeSCN^{2+}]_{eq}}{[Fe^{3+}]_{eq} \times [SCN^-]_{eq}}

Return to Module 5: Equilibrium and Acid Reactions