The Beer-Lambert Law provides the mathematical relationship between absorbance and concentration, stated as . In this equation, represents absorbance (dimensionless), is the molar extinction coefficient, is the concentration, and is the path length of the cuvette.
Absorbance is a logarithmic measure of how much light is blocked by the sample, whereas transmission measures the percentage of light that passes through. Because absorbance is directly proportional to concentration, it is the preferred metric for quantitative analysis.
The choice of wavelength is critical; the colorimeter must be set to the wavelength where the complex ion shows maximum absorption (). This ensures the highest sensitivity and the best signal-to-noise ratio for the measurements.
| Feature | Solution Color | Filter Color |
|---|---|---|
| Role | The color perceived by the eye | The color of light absorbed by the sample |
| Relationship | Transmitted wavelengths | Complementary wavelengths |
| Example | Blue Copper(II) solution | Red filter (approx. 600-700 nm) |
Filter Selection: Always select a filter that is the complementary color of the solution. If the solution is purple, a green filter is typically used because purple substances absorb green light most strongly.
Zeroing the Instrument: Ensure the colorimeter is 'blanked' using a cuvette filled with the pure solvent (usually deionised water). This step subtracts any absorbance caused by the solvent or the glass cuvette itself, ensuring the reading reflects only the solute.
Graph Interpretation: When drawing a calibration curve, always use a line of best fit. If the points do not form a straight line, it may indicate that the solutions were too concentrated, causing the Beer-Lambert law to deviate from linearity.
Concentration Limits: Students often assume the relationship is linear at all concentrations. In reality, at very high concentrations, molecular interactions can cause the absorbance to plateau, making the calibration curve unreliable.
Cuvette Handling: Fingerprints or scratches on the clear sides of a cuvette can scatter light and lead to falsely high absorbance readings. Always handle cuvettes by their frosted sides and wipe them with a lint-free tissue before measurement.
Path Length Confusion: If different sized cuvettes are used for the standards and the unknown, the results will be invalid because absorbance is dependent on the distance the light travels through the liquid ().