In the Classroom edited by JCE DigiDemos: Tested Demonstrations Ed Vitz Kutztown University Kutztown, PA 19530 Phenolphthalein–Pink Tornado Demonstration submitted by: checked by: Bruce R. Prall Math and Natural Sciences Division, Marian College, Fond du Lac, WI 54935; [email protected] Jeannine Eddleton Department of Chemistry, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061 The titration of HCl with NaOH has traditionally been used to introduce beginning chemistry students to the concepts of acid–base chemistry and stoichiometry. This demonstration utilizes this reaction as a means of providing students an opportunity to observe the dynamic motion associated with a swirling vortex and its effect on the reaction. Materials 1000 mL of 0.01 M HCl 10 mL of 50% (w/w) aqueous NaOH (stored in a polyethylene container) Phenolphthalein indicator solution Magnetic stirrer with stirring bar (3/8 × 1½ in.) 2 Beral droppers White backdrop 1 L graduated cylinder Procedure Fill a 1 L graduated cylinder with 0.01 M HCl to within 2–3 cm of the top of the cylinder. After placing a magnetic stirring bar in the graduate cylinder, place the cylinder on a magnetic stirrer. Adjust the stirring rate to form a smooth non-turbulent vortex. Place the white background behind the graduated cylinder. Add 3–4 drops of phenolphthalein to the center of the HCl solution near the top of the graduated cylinder. Immediately after adding the phenolphthalein, slowly add drop-by-drop 3–5 drops of 50% (w/w) NaOH solution in the center of the graduated cylinder. If the NaOH is added too quickly the entire top of the cylinder tends to turn pink and the vortex pattern is not clear in the top part of the cylinder. After the initial additions, one observes a pinkish–red shifting tornado-like column that subsequently disappears. There may be a time lapse before the vortex becomes visible. Allow time for observations before repeating the procedure, which can be accomplished by adding the phenolphthalein and NaOH as previously described. If sufficient phenolphthalein is added the first time, only the NaOH needs to be added for subsequent observations. Additions of NaOH can only be repeated a few times before the entire solution turns pink. However, the solution can be “recharged” by addition of concentrated HCl if a greater number of additions of NaOH (more pink vortexes) are desired. Hazards An apron, safety goggles, and latex gloves should be worn during the preparation and performance of the demonstration. Concentrated hydrochloric acid used to prepare the 0.01 M solution is extremely caustic and should be handled with care. Sodium hydroxide and the concentrated solution used in this demonstration are also extremely caustic and corrosive. Any skin or eye contact with the aforementioned chemicals requires immediate flushing with water. Any accidental spillage should be cleaned up immediately. Discussion The phenolphthalein–pink tornado demonstration not only provides students the opportunity to observe the swirling tornado-like motion of a vortex (1), but also provides an instructor with an excellent opportunity to introduce the concepts of limiting reagent (2), reagent in excess, as well as Le Châtelier’s principle. The reactions relevant to this discussion are OH (aq) H3O (aq) H Ind(aq) 2H O(l) 2 2 colorless 2H O(aq) Ind2(aq) 3 (2) (pH 8 10) pinkish–red Ind2(aq) OH (aq) pinkish–red (1) 2H2O(l) IndOH3(aq) (3) colorless (pH 11) where H2Ind is phenolphthalein. Initially, upon adding the phenolphthalein and the NaOH to the vortex of the HCl solution the OH− concentration is greater than the H3O+ concentration in this localized region of the solution, because the OH− does not sample all the H3O+ in the solution. This incomplete mixing results in the vortex becoming pinkish–red, which is what one would predict to happen based on applying Le Châtelier’s principle to reaction 2. The decrease in H3O+ concentration causes a shift to the right in reaction 2 and correspondingly an increase in the Ind2− concentration. The continued swirling action of the vortex tends to draw the OH− to the bottom of the graduated cylinder and the OH− eventually reacts with the H3O+ at the reaction front. Because H3O+ is the reagent in excess, after all the added OH− has been consumed, the H3O+ concentration becomes greater than the OH− concentration at the reaction front and causes the equilibrium for reaction 2 to shift to the left rendering the solution colorless. However, as additional NaOH solution is added, the OH− concentration becomes greater than the H3O+ concentration, which is evident by the pinkish–red color remaining in the solution. © Division of Chemical Education • www.JCE.DivCHED.org • Vol. 85 No. 4 April 2008 • Journal of Chemical Education 527 In the Classroom Since the H3O+ + OH− reaction is extremely fast, reaction 3 offers the best explanation for the persistence of the pinkish color within the vortex as the pH drops. In Nicholson’s kinetic study of reaction 3 (3), she reported that the reaction is relatively slow in 0.05 M NaOH solutions (pH 12.7), but is quite rapid in 0.30 M NaOH solutions (pH 13.5). If one assumes an initial vortex column of 10.0 cm in length with a radius of 0.50 cm, the pH of this volume (7.85 mL) following the addition of 4 drops (0.20 mL) of 50% (w/w) NaOH (approximately 19 M) can be calculated to be 13.7. This calculation takes into consideration the loss of NaOH owing to its reaction with 7.85 mL of 0.01 M HCl. Since reaction 3 is very fast at this pH, it provides a pathway for storing Ind2− as IndOH3−. This could account for the pinkish–red color in the vortex subsisting over a few seconds. The radius of the visible vortex slowly decreases, resulting in the visible vortex eventually disappearing as the pH falls below 8. An additional reason for the persistence of the pinkish–red color could be the localization of the OH− ion within the vortex. This limits the reaction to taking place only at the interface with the bulk solution, making it slow compared to the rate in a homogenous mixture. Modifications of the demonstration include replacing the 0.01 M HCl solution with either 0.1 M HCl or 0.01 M HC2H3O2. For larger classrooms it may be appropriate to scale up the procedure by a factor of four, that is, replace the 1 L graduated cylinder with a 4 L beaker. Literature Cited 1. Shakhashiri, B. Z. Chemical Demonstrations; University of Wisconsin Press: Madison, WI, 1983; Vol. 1, pp 271–279. 2. Hill, J. W.; Petrucci, R. H. General Chemistry, An Integrated Approach; Prentice-Hall: Upper Saddle River, NJ, 2002; pp 109–112. 3. Nicholson, L. J. Chem. Educ. 1989, 66, 725–726. Editor’s Note: Ed Vitz The pink tornado may seem paradoxical in its persistence, given that the reactions that cause dissipation of the color are among the fastest known (1, 2). This demonstration contrasts the rapid reaction with stirring in a circular direction to form the pink tornado, with the slow radial migration of ions that causes dissipation of the pink tornado. Why doesn’t the color dissipate quickly, reflecting the large rate constant for the reaction of OH− with H3O+? Proton transfers are “diffusion controlled” because they occur at virtually each encounter, have zero activation energy, and thus occur at rates that depend only on the rate at which the reactants approach each other. Not only are proton transfer reactions diffusion controlled, but their rates are enhanced by processes that lead to apparent translation without reactant migration. For example, the proton exchange H3O+ + H2O → H2O + H3O+ is equivalent to the water molecule moving into the place of the hydronium ion and vice versa (this is implicit in the Grotthus mechanism). The apparent translation is proportionately greater for larger aggregates of water molecules, with four or more molecules likely to be involved, and in ice, where the hydrogen-bonded structure is more permanent, the observed rate constant is 1013–1014 M‒1 s‒1 (3). In these cases, when a proton moves by a distance approximately equivalent to bond length, the H3O+ is apparently 528 translated by a distance equal to the diameters of several molecules. Why, in spite of this very rapid reaction, does the color of phenolphthalein remain in the vortex and not move out radially from it? In the radial direction there is no mixing by stirring, and the reaction front (the boundary between the red, basic solution and the colorless acidic solution) barely seems to move, just as is observed in a totally unstirred mixture. In spite of the large rate constants involved, diffusion leads to very little mixing (or progression of a colored reaction front, as we see in the pink tornado) (2). Convection and mechanical stirring are necessary to make even the fastest reactions proceed at convenient time scales! Even when mechanisms for translation without migration are included, diffusion is enhanced only slightly (4). As a matter of fact, the rate constants of reactions that lead to augmentation of diffusion by a reaction (like electron exchange and presumably proton exchange) can actually be determined from diffusion coefficient measurements (4). Amazingly, the rate of diffusion is only enhanced measurably by the electron exchange mechanism if k > ~108 M‒1 s‒1 under typical conditions. Direct measurement of the diffusion coefficient has been used to measure the rapid ferrocene–ferricene electron exchange rate constant (2 × 1011 M‒1 s‒1) (4–6). What one observes in the fastest diffusion-controlled reactions is very slow progression of a reaction front, such as the persistence of the red of phenolphthalein in the pink tornado, in spite of the “rapid” reaction with the surrounding solution. Thus it may not be necessary to invoke the formation and decay of species such as InOH3− to explain the persistence of the pink tornado, although this species is probably formed to some extent. It is interesting to add a drop of phenolphthalein to ~20 mL of stirred 1 M NaOH, wait for the color to fade as InOH3− is formed, then add HCl as stirring continues. The pink color appears rapidly and disappears just as rapidly as the equilibria are established with stirring. So it may not be the “slowness” of the reaction of InOH3− with HCl, but merely the “slowness” of radial diffusion of H3O+ to the tornado, which accounts for the persistence of the pink. The pink tornado demonstration is excellent for contrasting the relatively rapid rate of reactions in mixed solutions with the paradoxically “slow” rates of the same reaction where mixing is ineffective. Literature Cited 1. Caldin, E. F. The Mechanisms of Fast Reactions in Solution; IOS Press: Amsterdam, 2001; pp 227–263. 2. Jordan, P. Chemical Kinetics and Transport; Springer: New York, 1979. 3. Caldin, E. F. The Mechanisms of Fast Reactions in Solution; IOS Press: Amsterdam, 2001; p 233. 4. Ruff, I.; Friedrich, V. J. J. Phys. Chem. 1971, 75, 3297–3302. 5. Ruff, I.; Korosi-Odor, I. Inorg. Chem. 1970, 9, 186–188. 6. Ruff, I.; Friedrich, V. J.; Demeter, K.; Csillag, K. J. Phys. Chem. 1971, 75, 3303–3309. Supporting JCE Online Material http://www.jce.divched.org/Journal/Issues/2008/Apr/abs527.html Abstract and keywords Full text (PDF) Links to cited JCE articles Journal of Chemical Education • Vol. 85 No. 4 April 2008 • www.JCE.DivCHED.org • © Division of Chemical Education
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