DIFFUSION EXPERIMENT Ruth Logan, 2003 The purposes of this experiment are to: 1. Establish a measurement system and apply it in a consistent manner. 2. Study the effect of three variables (time, temperature, and molecular weight) on the rate of diffusion. 3. Transform data in order to study several dimensions of the same information. 4. Practice writing the following parts of a lab report: a. Titles and captions for figures. b. Discussion sections that contain both error and graph analysis. c. A conclusion that incorporates information from three different graphs into a single concept. Experiment 1: Diffusion of KmnO4 into water. Each student will construct a diffusion system consisting of a beaker of water containing a permeable “cell” of KMn04. Different students should use different temperatures of water. Consult with students near you so that at least three different temperatures of water are used. 1. Use a china marker to label a 600 mL beaker with a symbol that is meaningful to you. Then add 400 mL of tap water in ONE of the following set-ups and allow it to come into temperature equilibrium with its environment: a. Use cold tap water and place the beaker into ice in an ice bucket on your lab bench. b. Use hot tap water and place it in the hot water bath provided on a side counter in the lab. c. Use room temperature water and place it on your lab bench with no container. 2. Turn on and calibrate the spectrophotometer nearest you. Make sure it is set at 550 nm. Keep a cuvette of tap water handy to recalibrate it from time to time throughout the experiment. 3. Prepare a permeable “cell” of dialysis tubing as follows: twist and double back one end of a length of cellulose tubing and tie it very tightly with string. Place 4 mL of the 10 g/L KMn04 provided into the bag, and tie off the open end in a similar manner. 4. Record the temperature of the water in your beaker. Then, at a time that you identify as being t = 0, drop the bag into your beaker. Record the time in a table you have prepared and count all time from this moment. 1 Diffusion Logan, 2003 5. Take samples from your beaker in the following manner: a. About 10 seconds before taking your sample, use a disposable plastic pipet to carefully stir the water in the beaker WITHOUT touching the bag. b. At the designated time, use the pipet to quickly transfer some of the outer liquid from the beaker into a cuvette. Be sure the cuvette is at least half full so it will encounter the light beam in the spectrophotometer. c. Since time doesn’t particularly matter now, slow down. Use the pipet to knock any bubbles out of your sample. Wipe the outside of the cuvette, and then place it into the spectrophotometer chamber with the label facing you. It is best if you use the same cuvette and the same manner of placing it into the chamber throughout the experiment. d. Measure the absorbance of the liquid to the correct number of significant digits. (3 up to abs of about 0.6; then 2 from 0.6 to 1.5). Record the data in a table similar to the one below: Time (minutes) Absorbance 550nm e. Pour the sample back into the beaker from which you took it. This is necessary to keep the total volume constant throughout the experiment. f. Repeat taking samples at various times throughout the next hour and a half. Suggested times for sampling are 1, 3, 5, 7, 10, 15, 30, 45, 60 and 75 minutes after placing the bag in the water. 6. Prepare a graph showing the absorbance of KMn0 4 in the outer solution versus time for your sample. This is Figure 1. (Notice that it would be possible to convert the absorbance measurements to concentration of KmnO4 using the standard curve you produced in the first lab at the beginning of the semester. However, since absorbance and concentration are directly proportional, using the absorbance without conversion gives the same relative information). Part B of Experiment 1: The effect of time on Rate of Diffusion. Measure the slope of the line you produced for Figure 1 over several 2-minute timeperiods chosen from throughout the time span of the experiment. Produce at least eight data points: six from the first 15 minutes and two from the later parts of the experiment. Record these in a table similar to the one below, and use them to produce Figure 2. Time (minutes) [Use (t1 + t2)/2] Rate of Diffusion (Δ abs/2 minutes) 2 Diffusion Logan, 2003 Part C of Experiment 1: The effect of Temperature on the Rate of Diffusion. Measure the slope of the line you produced for Figure 1 over the time period from 2 to 5 minutes. Report this datum together with the initial temperature of your sample on the board and obtain similar data from the other students in the lab. Record the data points in a table similar to the one shown below and use them to produce Figure 3. Temperature (oC) Rate of Diffusion (Δ abs/3 minutes) Experiment 2: Diffusion of dyes into a colloidal medium. Your instructor will place 20 drops of each of the following substances (one per tube) on the surface of the starch colloid contained in some large test tubes. Substance (all are 0.1 M) Potassium dichromate Malachite green Methylene blue Gentian violet Eosin Y Congo Red Molecular Weight (Daltons) 294 364 374 484 691 695 At the end of 48 hours, (or some other period of time as directed by your instructor) measure the distance each dye has diffused through the colloid to the nearest millimeter. Prepare a graph (Fig. 4) of distance diffused versus molecular weight. DIFFUSION LAB REPORT This second lab report is intended to build on skills you practiced in lab report one and to add some new ones. You will write more statements that obey the rules for an hypothesis when you formulate separate conclusions for the four graphs you prepare. You will continue to analyze error, but by estimating its magnitude rather than calculating the standard deviation. (The proper procedure is to repeat data until you have a reproducible, statistically significant result, but we don’t have time to do this on every experiment.) You will learn to manipulate data in order to obtain additional information from it. You will again analyze all graph shapes to seek the underlying natural mechanism that can be deduced from it. And you will inductively draw a composite conclusion from three related graphs in order to understand their relationship to each other. 3 Diffusion Logan, 2003 The issue of this lab report is: What are the forces that control the rate of diffusion. Figures 2, 3, and 4 all show data concerning the rate and will provide the principle material for the discussion. (Figure 1 provides raw data and doesn’t directly represent the rate of diffusion. It has a smaller role in discussion). The report will consist of a cover page plus Results, Discussion, and Conclusion sections (and Literature Cited if you cite any). The Results section will consist of the four figures, each with complete title and caption, plus the error analysis for each graph (CAN you accept this line shape?). The Discussion section will discuss Figures 2, 3 & 4 separately and draw an individual conclusion (within the discussion) about the relationship that it shows (mechanism, WHY is the line this shape?). Finally you will prepare a single Conclusion section that presents a composite statement about the forces that control diffusion rate (the subject of Figures 2, 3, and 4). General information about the preparation of the three parts is presented below. A. Results: Each graph must have a suitable (yet concise) caption below the X-axis. The captions, as always, include a title that describes the central concept of the figure or table, followed by text that includes a brief description of the data shown, the source of the data, its purpose, and any relationship it may have with other tables or figures in the report. It must contain only objective information; no discussion or conclusions are allowed in a caption. Each graph must have a text error analysis section for the purpose of determining that the interpretation you have made of the graphed data (the line you have drawn) is appropriate for the data. 1. 2. 3. 4. 5. Describe the appearance of the data and propose a line shape for it. Describe the pattern of the data points. Are most on the line? Describe the positions and magnitude of distance from the line (this can involve several data points collectively or a single data point, depending on whether your discussion can be applied to a collection of points.) Propose possible sources for the variability in the data patterns that you see. Remember that these ought to be variations that you would have gotten had you repeated the data collection many times. ANALYZE your proposals by comparing the data to the source: do they match in pattern? In magnitude (distance from the line)? Do you have separate observations or written records that support or conflict with your proposal? Use the above reasoning to decide whether to accept the line shape you proposed. If you have accounted for the position of the points as error, you may accept your interpretation of the data (your line). Otherwise you must reinterpret the data since error analysis would have shown that the position of these points was NOT probably due to error. 4 Diffusion Logan, 2003 6. Conclude this section by stating the line shape and relationship that you are accepting (use the form of an hypothesis statement). B. Discussion Discuss the meaning of the three rate graphs: this is the central task of a scientific report. Introduce each section by briefly describing the figure related to it, the shape of the curve, and a general sense of the information content. (Remember, these have already been covered in the Results section. Don’t repeat anything unnecessarily). Analyze each graph by relating the shape of the curve to an underlying mechanism that might govern the phenomenon being studied. For instance, say you discover in Results that the relationship between rate of diffusion and time is an inverse proportion (that is, the shape of the curve is an accepted fact). You must discuss factors involved in diffusion that might cause this curve shape to be true. Consider such factors as the molecular movement of molecules, their kinetic energy, the relative concentrations of KmnO4 and water in different parts of the system, the nature of any barriers that might be present. (Diffusion is a physical process, so you don’t have to consider chemical reactions that might take place). Propose how some of these or other factors might be involved in the process you measured. Many elements of these discussions involve INFERRANCES since they involve factors or characteristics not directly measured in the experiment. If you cite references (you are not expected to) do so properly. Show how you reason through and TEST each idea by discussing how parts of the curve match or fail to match your proposals. State a specific conclusion at the end of each section. C. Conclusion The Conclusion section for this report is an overall conclusion making a conceptual statement about factors that control the rate of diffusion. You must take into account the results and your discussion about the last three figures in the report (Figures 3, 4, and 5). Remember that the issue is to discover how rate of diffusion is controlled, and use inductive reasoning to combine the ideas from all three graphs to develop a coordinated concept. Consider the factors that you thought might affect the rate in each individual case to see how and whether these same factors are present in the other two cases. 5