Letters Undergraduates' Understanding of EntropySözbilir and Bennett carried out an extensive investigation on undergraduates' understanding of entropy (1). Though I agree in general with their statements that order-disorder arguments form a misleading entropy concept, I would like to make some comments with regard to a certain part of their online supplement.In Box 3 Sözbilir and Bennett wrote about two competing factors to be considered. 1 The authors state in the explanation, "On one hand, there is an apparent increase of organization when the crystallization occurs but on the other hand, the temperature of the system increases during the freezing because of the energy released due to the formation of new bonds in the ice crystal since the system is thermally insulated." I think this is unclear. What is meant by "increase of organization"? Isn't this a hidden disorder argument in contrast to the whole contribution? Of course the number of microstates increases, but not for the reason Sözbilir and Bennett pointed out: temperature effect competing with "organization effect".The reason for the entropy increase is different. The additivity of entropy values is restricted under certain circumstances. Kittel and Krömer wrote in their textbook (2): Die Entropie von zwei unabhängigen Systemen ist gleich der Summe der einzelnen Entropien. (Transl.: The entropy of two independent systems is the sum of the entropy values of the individual systems.) Reactants and products of a chemical reaction are not two independent individual systems. To be independent is a conditio sine qua non for the additivity of entropy. Particles, atoms of the reactants, are part of the products after the reaction. Any macrostate of the reacting system can be realized by more microstates compared with separated crystal-and solution-systems. More permutations must be calculated. It is not correct to argue that the temperature effect overcompensates the crystallization effect.The crystallization ends in an equilibrium state of a crystal in a saturated solution. The entropy maximum is reached, which means that the systems capacity for thermal energy-or the extent of the storage system as I wrote in ref 3-has a relative maximum. This can easily be proved by heating this equilibrium state and heating separated solution-and crystal-systems in comparison. To reach the same ∆T value for the temperature change, the equilibrium state needs more energy. This is due to Le Châteliers principle: heating the equilibrium starts the endothermic-that is, temperature decreasing-reaction.Note 1. Box 3 shows a hot saturated solution of sodium thiosulfate that is allowed to cool slowly. The solution is sealed in a thermally insulated flask and a tiny seeding crystal is dropped through a hole in the lid. Crystallization occurs spontaneously, with an apparent increase of organization. The question is asked, What do you think will happen to the entropy of the system when the crystals form?Literature Cited
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.