# Lab 2: Beer’s Law and Molar Extinction Coefficients

## Background and Objectives

Colorimeters (and spectrophotometers) measure absorbance of light of a specific wavelength by a solution. Absorbance values can be used to determine the concentration of a chemical or biological molecule in a solution using the Beer-Lambert Law (also known as Beer’s Law). Beer’s Law states that absorbance of a sample (Abs) depends on the molar concentration (c), light path length in centimeters (l), and molar extinction coefficient (ε) for the dissolved substance at the specified wavelength (λ) [1].

Absorbance = ε x c x l

An example of a Beer’s Law plot (concentration versus absorbance) is shown below. The slope of the graph (absorbance over concentration) equals the molar absorptivity coefficient, ε x l. The objective of this lab is to calculate the molar extinction coefficients of three different dyes from their Beer’s Law plot.

Food dyes are used to color a variety of food products such as sweets, cereal and sports drinks and are often used in high school and undergraduate labs [2]. The 3 dyes used in this lab were chosen as they absorb in the range of the colorimeter LED wavelengths.

## Materials

The following list of materials is required for this lab.

• Assembled Educational Colorimeter kit from Lab 1
• Powdered food dyes erythrosin B, erioglaucine and sunset yellow
• Analytical scale
• 3 x 250 mL volumetric flasks
• 15 x test tubes (>5 mL)
• 1 mL fixed volume pipette
• 16 x cuvettes
• Water

## Methods

This lab uses the Educational Colorimeter Plotting program.

### Step 1: Prepare 1 mM stock of dyes

• Erythrosin B (FW: 879.86): e.g. 0.218 g in 250 mL distilled water
• Erioglaucine (FW: 792.85): e.g. 0.198 g in 250 mL distilled water
• Sunset Yellow (FW:452.37): e.g. 0.113 g in 250 mL distilled water

### Step 2: Preparation of working stocks

Dilute the 1 mM stock solutions as shown in the Table below using a 250 mL volumetric flask. Label these flasks working stock;

Dye Volume of 1 mM stock Concentration of working stock

Erythrosin B 1.0 mL in 250 mL 4 µM

Erioglaucine 2.5 mL in 250 mL 10 µM

Sunset Yellow 10 mL in 250 mL 40 µM

### Step 3: Preparation of standard curve

For each of the 3 dyes, prepare a series of standard curve dilutions as shown in the Table below using the test tubes. Label tubes #1-5 for each dye;

Tube Volume of working stock Erythrosin B Erioglaucine Sunset Yellow

1 1 mL + 4 mL water 0.8 µM 2 µM 8 µM

2 2 mL + 3 mL water 1.6 µM 4 µM 16 µM

3 3 mL + 2 mL water 2.4 µM 6 µM 24 µM

4 4 mL + 1 mL water 3.2 µM 8 µM 32 µM

5 5 mL + 0 mL water 4.0 µM 10 µM 40 µM

### Step 4: Measure absorbance with the colorimeter and plot data

• Launch the colorimeter plotting program. Calibrate the device with a cuvette containing water.
• Starting with erythrosin B, measure the absorbance for each standard curve solution with the appropriate color channel [3], and enter the corresponding erythrosin B concentration in the program plotting table;
• Once all the samples are measured, click on the “Plot” button. Record values for the slope in Table 3.
• Repeat measurements for erioglaucine and sunset yellow.

Dye LED/wavelength Slope (µM vs. Abs) Molar extinction coefficient Reported value

Erythrosin B Green/528 nm 0.056 56,000 M-1 cm-1 at 528 nm 82,500 (524-528 nm)

Erioglaucine Red/625 nm 0.097 97,000 M-1 cm-1 at 625 nm 80,000 (627-637 nm)

Sunset Yellow Blue/470 nm 0.020 20,000 M-1 cm-1 at 470 nm 20,000 (479-485 nm)

Sample data - Erioglaucine standard curve

Footnotes

[1] Path length (distance that light travels through the solution) is determined by the cuvette that the sample is placed in. Most colorimeters and spectrophotometers, including the one in this kit, use cuvettes with a path length of 1 cm. Molar extinction coefficient is a measure of how strongly a substance absorbs light at a particular wavelength, and is usually represented by the unit M-1 cm-1 or L mol-1 cm-1.

[2] For example: Sigman and Wheeler 2004, J. Chemical Education 81 (10): 1475-1478; Henary and Russell, 2007, J. Chemical Education 84 (3) 480-482.

[3] To verify which color channel to use for each dye you can measure absorbance at all 3 wavelengths as described in Lab 1.