Skip to main content

Energy Spreading or Disorder? Understanding Entropy from the Perspective of Energy

  • Chapter
  • First Online:
Teaching and Learning of Energy in K – 12 Education

Abstract

Scientific explanations for the cause of spontaneous processes can be understood from the energy perspective. The second law of thermodynamics shows that all real spontaneous processes lead to an increase in the total entropy of the universe. Entropy is closely related to energy, though the two concepts are distinct. In K-12 science education, students should gain familiarity with explanations for the cause of spontaneous processes. This includes a qualitative understanding of the second law of thermodynamics and entropy, as well as an understanding of the relationship between entropy and energy. Here, we review the energy dispersal metaphor for entropy and the energy spreading metaphor for entropy change, and describe how these metaphors can provide students with a scientific understanding of spontaneous processes from the energy perspective. We also discuss advantages of using this metaphor over others for teaching and learning about entropy in K-12 science education, such as the metaphor’s compliance with the features of entropy, the avoidance of common misconceptions when using the metaphor, the metaphor’s accessibility to students at a young age, and the metaphor’s amenability to updating for increasingly sophisticated understandings of entropy. We also discuss why the commonly used disorder metaphor for entropy should be avoided. Finally, we propose a potential K-12 learning progression for understanding spontaneous processes from the energy perspective.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  • American Association for the Advancement of Science. (1990). Science for all Americans. New York: Oxford University Press. Retrieved from, http://www.project2061.org/publications/sfaa/online/chap4.htm#26

  • American Association for the Advancement of Science. (1993). Benchmarks for science literacy. New York: Oxford University Press. Revised web version (2009) http://www.project2061.org/publications/bsl/online/index.php

  • Atkins, P. W. (2006). Atkins’ physical chemistry. New York: Oxford University Press.

    Google Scholar 

  • Bindel, T. H. (2004). Teaching entropy analysis in the first-year high school course and beyond. Journal of Chemical Education, 81, 1585–1594.

    Article  Google Scholar 

  • Boo, H. K. (1998). Students’ understandings of chemical bonds and the energetics of chemical reactions. Journal of Research in Science Teaching, 35, 569–581.

    Article  Google Scholar 

  • Carson, J., & Watson, E. M. (2002). Undergraduate students’ understandings of entropy and Gibbs free energy. University Chemistry Education, 6, 4–12.

    Google Scholar 

  • Chen, S., Liu, Z., Bao, S., & Zheng, C. (2010). Natural convection and entropy generation in a vertically concentric annular space. International Journal of Thermal Sciences, 49, 2439–2452.

    Article  Google Scholar 

  • Cooper, M. M., Klymkowsky, M. W., & Becker, N. M. (2014). Energy in chemical systems: An integrated approach. In B. Chen, A. Eisenkraft, D. Fortus, J. Krajcik, K. Neumann, J. Nordine, & A. Scheff (Eds.), Teaching and learning of energy in K – 12 education (pp. 301–316). New York: Springer.

    Google Scholar 

  • Dincer, I., & Cengel, Y. A. (2001). Energy, entropy and exergy concepts and their roles in thermal engineering. Entropy, 3, 116–149.

    Article  Google Scholar 

  • Donaldson, S. (2011). Entropy is not disorder. Retrieved from http://www.science20.com/train_thought/blog/entropy_not_disorder-75081

  • Duit, R. (1991). On the role of analogies and metaphors in learning science. Science Education, 75, 649–672.

    Article  Google Scholar 

  • Gao, P. L., & Wang, M. Z. (2007). Huaxue fanying yuanli [Principles of chemical reactions]. Jinan: Shandong Science and Technology Press.

    Google Scholar 

  • Gary, R. K. (2004). The concentration dependence of the ∆S term in the Gibbs free energy function: Application to reversible reactions in biochemistry. Journal of Chemical Education, 81, 1599–1604.

    Article  Google Scholar 

  • Glynn, S. M., & Takahashi, T. (1998). Learning from analogy-enhanced science text. Journal of Research in Science Teaching, 35, 1129–1149.

    Article  Google Scholar 

  • Hanson, R. M., & Michalek, B. (2006). Give them money: The Boltzmann game, a classroom or laboratory activity modeling entropy changes and the distribution of energy in chemical systems. Journal of Chemical Education, 83, 581–588.

    Article  Google Scholar 

  • Kozliak, E. I., & Lambert, F. L. (2005). “Order-to-disorder” for entropy change? Consider the numbers! The Chemical Educator, 10, 24–25.

    Google Scholar 

  • Kozliak, E. I., & Lambert, F. L. (2008). Residual entropy, the third law and latent heat. Entropy, 10, 274–284.

    Article  Google Scholar 

  • Lambert, F. L. (1999). Shuffled cards, messy desks, and disorderly dorm rooms – Examples of entropy increase? Nonsense! Journal of Chemical Education, 76, 1385–1387.

    Article  Google Scholar 

  • Lambert, F. L. (2002a). Disorder—A cracked crutch for supporting entropy discussions. Journal of Chemical Education, 79, 187–192. Revised web version http://www.entropysite.com/cracked_crutch.html

  • Lambert, F. L. (2002b). Entropy is simple, qualitatively. Journal of Chemical Education, 79, 1241–1246. Revised web version http://entropysite.oxy.edu/entropy_is_simple/index.html

  • Lambert, F. L. (2005). Teaching entropy is simpleIf you discard “disorder”. Retrieved from, http://entropysite.oxy.edu/teaching_entropy.html

  • Lambert, F. L. (2006a). The second law of thermodynamics. Retrieved from, http://entropysite.oxy.edu/wiki_secondlaw.html

  • Lambert, F. L. (2006b). A modern view of entropy. Khymia, The Bulgarian Journal of Chemistry, 15, 13–21.

    Google Scholar 

  • Lambert, F. L. (2007). Configurational entropy revisited. Journal of Chemical Education, 84, 1548–1550.

    Article  Google Scholar 

  • Lambert, F. L. (2011). Entropy in general chemistry. Retrieved from, http://entropysite.oxy.edu/wiki_entropy.html

  • Lambert, F. L., & Leff, H. S. (2009). The correlation of standard entropy with enthalpy supplied from 0 to 298.15 K. Journal of Chemical Education, 86(1), 94–98.

    Article  Google Scholar 

  • Leff, H. S. (1996). Thermodynamic entropy: The spreading and sharing of energy. American Journal of Physics, 64, 1261–1271.

    Article  Google Scholar 

  • Leff, H. S. (2007). Entropy, its language and interpretation. Foundations of Physics, 37, 1744–1766.

    Article  Google Scholar 

  • Leff, H. S. (2012a). Removing the mystery of entropy and thermodynamics – Part I. The Physics Teacher, 50(1), 28–31. Retrieved from, http://www.csupomona.edu/~hsleff/selpubs.html

    Google Scholar 

  • Leff, H. S. (2012b). Removing the mystery of entropy and thermodynamics – Part II. The Physics Teacher, 50, 8790. Retrieved from, http://www.csupomona.edu/~hsleff/selpubs.html

  • Leff, H. S. (2012c). Removing the mystery of entropy and thermodynamics – Part III. The Physics Teacher, 50, 170–172. Retrieved from, http://www.csupomona.edu/~hsleff/selpubs.html

  • Leff, H. S. (2012d). Removing the mystery of entropy and thermodynamics – Part IV. The Physics Teacher, 50, 215–217. Retrieved from, http://www.csupomona.edu/~hsleff/selpubs.html

  • Leff, H. S. (2012e). Removing the mystery of entropy and thermodynamics – Part V. The Physics Teacher, 50, 274–276. Retrieved from, http://www.csupomona.edu/~hsleff/selpubs.html

  • National Academy of Sciences. (1996). National science education standards. Washington, DC: The National Academy Press. Retrieved from, http://www.nap.edu/catalog/4962.html

  • National Research Council. (2012). A framework for K-12 science education: Practices, crosscutting concepts, and core ideas. Washington, DC: The National Academies Press. Retrieved from, http://www.nap.edu/catalog.php?record_id=13165

  • Reece, J. B., Urry, L., Cain, M., Wasserman, S., Minorsky, P., & Jackson, R. (2011). Campbell biology (9th ed.; International ed.). Harlow: Pearson Education.

    Google Scholar 

  • Song, X. Q., & He, S. H. (2004). Huaxue fanying yuanli [Principles of chemical reactions]. Beijing: People’s Education Press.

    Google Scholar 

  • Sözbilir, M., & Bennett, J. M. (2007). A study of Turkish chemistry undergraduates’ understanding of entropy. Journal of Chemical Education, 84, 1204–1208.

    Article  Google Scholar 

  • Styer, D. F. (2000). Insight into entropy. American Journal of Physics, 68, 1090–1096.

    Article  Google Scholar 

  • Wang, Z. H. (2007). Huaxue fanying yuanli [Principles of chemical reactions]. Hangzhou: Jiangsu Education Publishing House.

    Google Scholar 

  • Wang, L., Wang, W., & Wei, R. (2014). What knowledge and ability should high school students have for understanding energy in chemical reactions? An analysis of chemistry curriculum standards in seven countries and regions. In B. Chen, A. Eisenkraft, D. Fortus, J. Krajcik, K. Neumann, J. Nordine, & A. Scheff (Eds.), Teaching and learning of energy in K – 12 education (pp. 87–102). New York: Springer.

    Google Scholar 

  • Wilbraham, A., Staley, D., Matta, M., & Waterman, E. (2012). Pearson chemistry. Boston: Pearson Education.

    Google Scholar 

Download references

Acknowledgments

We would like to thank Jeff Nordine, Knut Neumann, Tobin Roger, and Hui Jin for their detailed reviews of the drafts of this chapter and their brilliant suggestions. Our thanks go to Frank L. Lambert for his correspondence discussing entropy with us. Thanks to Chi-Yan Tsui for his careful edit on the paper. The Chicago Transformation Teacher Institutes (NSF DRL 0928669) provided funding and support. We are also grateful to many other friends for kindly offering us their help.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rui Wei .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Wei, R., Reed, W., Hu, J., Xu, C. (2014). Energy Spreading or Disorder? Understanding Entropy from the Perspective of Energy. In: Chen, R., et al. Teaching and Learning of Energy in K – 12 Education. Springer, Cham. https://doi.org/10.1007/978-3-319-05017-1_18

Download citation

Publish with us

Policies and ethics