Final answer:
To determine the concentration of blue dye in Gatorade Glacier Freeze, prepare standard solutions, use a spectrophotometer to measure absorbance, plot a calibration curve, measure the drink's absorbance, and apply the linear equation from the calibration curve to find the dye's concentration.
Step-by-step explanation:
Designing an Experiment to Quantify Blue Dye in a Sports Drink
Quantifying the concentration of blue dye in Gatorade Glacier Freeze involves several steps, including the preparation of standard solutions, the use of proper glassware, and the creation of a calibration curve. Here is a step-by-step design for such an experiment:
- Prepare a series of standard solutions with known concentrations of the blue dye by diluting a stock solution using volumetric flasks for precise measurements.
- Measure the absorbance of each standard solution using a spectrophotometer at the maximum wavelength of absorbance for the blue dye.
- Plot a calibration curve on a graph with the absorbance on the y-axis and the concentration on the x-axis to establish the relationship between absorbance and concentration.
- Measure the absorbance of the Gatorade Glacier Freeze solution.
- Use the calibration curve to find the concentration of the blue dye in the sports drink from its absorbance, using the linear equation y = mx + b.
The equation y = mx + b represents the calibration curve where 'y' is absorbance, 'm' is the slope (the change in absorbance per unit concentration), 'x' is the concentration of the dye in the solution, and 'b' is the y-intercept (absorbance when the concentration is zero). This linear relationship is based on the Beer-Lambert Law, which states that absorbance is directly proportional to the concentration of a substance in solution within a certain range. The goal of the experiment is to apply this law to determine the concentration of blue dye in the sports drink accurately.