Name Period Date 16. Colorimetric Analysis* Driving Question How can you determine the concentration of a colorful solution? Pre-Lab Activity Setting the stage for the activity When light interacts with light-absorbing particles, some of the light is removed. Consequently, objects with many light-absorbing particles appear darker than objects with fewer light-absorbing particles. The ability to absorb color, as well as what color is to be absorbed, depends on the type of particle present. One can vary the number of particles with which light interacts in two ways. If you compare two solutions of the same colored substance with different concentrations, you see that the one with the higher concentration appears darker because it has more absorbing particles and it absorbs more of the incident light. Also, if you pour the same solution into a test tube and a 100-mL beaker, the solution in the beaker appears darker. Even though the concentration in the two solutions is the same, the light has to travel a longer path in the beaker. Therefore, photons have a higher probability of being absorbed so less light will leave the beaker and the solution appears darker. Next, if you pour a little bit of the 1 M copper(II) sulfate solution into a 1-L beaker nearly full with water, why is the original beaker so much darker? It is darker because the "light catching" particles in the more diluted solution are much farther apart. From this we see that concentration is another variable to consider when looking at absorbed light. To measure the amount of light absorbed, we use a colorimeter. Like all electronic measuring devices, the colorimeter produces a voltage based on the amount of light that hits it. The voltage is converted to an absorbance level in optical density units (o.d.). Example calculation to try In an experiment, four calibrating solutions are used to determine the concentration of a CuSO 4 solution with unknown concentration. Given the following data, create a calibration graph, find the equation, and use the equation to solve for the concentration of the unknown solution. Table 1: Concentration and absorbance calibration data Sample Concentration (M) Absorbance 1 0.20 0.062 2 0.50 0.156 3 0.70 0.218 4 0.90 0.281 The graph of these calibrating solutions: * This is an AP Chemistry course recommended experiment. Student Inquiry Worksheet y = (3.119 10-1)x If a solution of unknown concentration has a absorbance A of .200, the concentration c of the unknown can be found on the graph, which looks to be between 0.63 M and 0.64 M or calculated from the obtained equation: The equation of the line is y 0.3119x Where y = absorbance A, and x = concentration Solving for the concentration: A 0.3119 M1 c 0.200 0.3119 M1 c c 0.200 0.3119 M1 0.641 M It is worth mentioning that the equation provides a more accurate estimate of the unknown concentration, since the graph-based estimate can be subjective. Student Inquiry Worksheet 16. Colorimetric Analysis* Driving Question How can you determine the concentration of a colorful solution? Materials and Equipment For each student or group: Data collection system Graduated cylinder, 50-mL Colorimeter Pipet with pump or bulb, 10-mL Cuvette Glass stirring rod Sensor extension cable 0.40 M copper(II) sulfate (CuSO4), 30 mL Beakers (2), 100-mL Distilled water, 30 mL Test tubes (6), large Marking pen Test tube rack Wash bottle with distilled water Safety Follow all standard laboratory procedures. Procedure After you complete a step (or answer a question), place a check mark in the box () next to that step. Set Up 1. Connect the colorimeter to the data collection system using the extension cable. 2. Start a new experiment on the data collection system. Click on Sparkvue and then Build. 3. Configure the data collection system to manually collect absorbance of orange (610 nm) light and the concentration in a table. To do this scroll down and click on “User entered numeral data”. For measurement type in “concentration” and for unit name type in “molarity”. 4. Next click on both absorbance orange and concentration. Then click on the table button and ok. On the bottom by the clock, click on it and change to manual. 5. Calibrate the colorimeter with the blank solution (use distilled water for the blank). To do this rinse a cuvette with a small amount of “blank” solution & empty. Next fill the cuvette. Wipe clean and dry and place it into the colorimeter. Press the green button and the light will go on. Leave in until the light goes off. * This is an AP Chemistry course recommended experiment. 1 Student Inquiry Worksheet Light -tight cover Calibration button Colorimeter Extension cable (optional) 2 3 4 Unknown 1 Stock 6. Water absorbs a small amount of light. 7. Label four clean, dry test tubes “1” through “4” and place them into a test tube rack. 8. Pipet 2.0, 4.0, 6.0, and 8.0 mL of the 0.40 M copper(II) sulfate solution into test tubes 1 through 4, respectively. 9. Deliver 8.0, 6.0, 4.0, and 2.0 mL of distilled water into test tubes 1 through 4 so that each test tube has 10.0 mL of solution. 10. Thoroughly mix each solution with a stirring rod. Note: Clean and dry the stirring rod before stirring a different solution. Table 2: Volumes and concentrations for the calibration solutions Trial # 0.40 M CuSO4 (mL) H2O (mL) Concentration (M) 1 2.0 8.0 0.08 2 4.0 6.0 0.16 3 6.0 4.0 0.24 4 8.0 2.0 0.32 5 10.0 0 0.40 Student Inquiry Worksheet Collect Data 11. Start a new, manually sampled data set. Click on and then the arrow button. Click on the concentration trials and enter the concentrations above for the first 5 test tubes. 12. Measure the absorbance of the five known solutions following the steps below. a. Rinse the cuvette twice with a small portion of the first solution and then fill the cuvette two-thirds full. Wipe the cuvette clean and dry and place it into the colorimeter. b. “Turn on” the colorimeter by clicking the “on” button. After the reading stabilizes, record a data point by clicking on the green button again. c. Dispose of the solution appropriately and rinse the cell thoroughly with water. d. Each time you place a new cuvette in, wait for it to stabilize and again click to record. When you have recorded all of your data, stop the data set by clicking on: Note: The data for test tube 6 is not yet recorded because it has an unknown molarity and it will not be part of the standardization curve. 13. Save your experiment. To do this click on and then save as…. 3 Data Analysis 1. Create a data table to record the concentration an absorbance of the 5 solutions. Also include a place to record the unknown (to be done later in the lab) 2. To graph your data start a new page by clicking on . Select the absorbance orange and concentration again, but now click on the graph button and ok. 3. Adjust the scale of the graph to show all data, if needed. 4. Find the slope of the best-fit line. To do this click on ok. and then . Select “Linear Fit” an 5. Print the graph. Click on the camera and then . Click on Journal and then print journal. 6. Attach your graph of Concentration versus Absorbance. 3 Student Inquiry Worksheet Testing the Unknown 1. Monitor Orange (610 nm) Absorbance data in a digits display. Start a new page, click on orange absorbance and then 2. Measure the absorbance of the sixth (unknown) solution. Record the Orange (610 nm) Absorbance in the data table and clean up according to your teacher's instructions. 3. Use the equation for the line to calculate the concentration of the unknown. Show all of your work. 4. Use the calibration curve to estimate the concentration of the unknown. 4