E = mc2 for the Chemist: When Is Mass Conserved?

Richard S. Treptow
Department of Chemistry and Physics, Chicago State University, Chicago, IL 60628-1598
J. Chem. Educ., 2005, 82 (11), p 1636
DOI: 10.1021/ed082p1636
Publication Date (Web): November 1, 2005

Abstract

Einstein's famous equation E = mc2 is frequently misunderstood in textbooks and in popular science literature. Its correct interpretation is that mass and energy are different measures of a single quantity known as mass–energy. Mass–energy is conserved in all the processes of physics and chemistry, but both the reacting system and its surroundings must be taken into account. Mass and energy are both individually conserved as well.

Nuclear and subatomic particle reactions emit large quantities of energy, but contrary to popular belief they do not convert mass into energy. Any mass lost by the reacting system is acquired by the surroundings along with the energy acquired. Chemical reactions are much less energetic. Nevertheless, when a chemical reaction emits energy to its surroundings, its reactants lose an equivalent quantity of mass in the process. The change in mass is so extremely small, however, that it cannot be directly detected. For all practical purposes it can be ignored.

Mass–energy conservation is discussed in various reactions, such as matter–antimatter annihilation, nuclear fusion and fission, chemical reactions, and changes of physical state. The concept of mass–energy equivalence is reinforced by the use of everyday analogies and by asking what mathematical equations actually mean.

Keywords:

First-Year Undergraduate / General

Keywords:

History / Philosophy

Keywords:

Misconceptions / Discrepant Events

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Atomic Properties / Structure

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This article has been cited by 2 ACS Journal articles (2 most recent appear below).

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    E = mc2: An Intuitive Derivation

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    Journal of Chemical Education2007 84 (10), 1651
    • E = mc2: An Intuitive Derivation

      James J. Leary , William H. Ingham
      Journal of Chemical Education2007 84 (10), 1651

      Einstein's famous equation E = mc2 is derived by utilizing a thought experiment that can be easily understood by any serious student of chemistry.

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    The Physics Teacher: Black Boxes, Frozen Lakes, and What = mc2?

    Roy W. Clark
    Journal of Chemical Education2005 82 (11), 1611
    • The Physics Teacher: Black Boxes, Frozen Lakes, and What = mc2?

      Roy W. Clark
      Journal of Chemical Education2005 82 (11), 1611

      Featured articles concern the dangers of black boxes, the puzzle of a frozen lake, and the assertion that mass cannot be converted into energy.

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  • Received: August 03, 2009

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