Closed systems and mass/energy transference

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SUMMARY

The discussion centers on the definitions of closed systems in thermodynamics and their relationship with Einstein's theory of relativity. A closed system does not transfer mass, while an isolated system does not transfer energy. However, the assertion that energy transfer across a system boundary results in a proportional mass transfer, as described by Einstein's equation E=mc^2, raises questions about the consistency of these definitions. Participants express confusion regarding the implications of mass-energy equivalence in practical scenarios, particularly in non-nuclear contexts.

PREREQUISITES
  • Understanding of thermodynamic systems, specifically closed and isolated systems.
  • Familiarity with Einstein's mass-energy equivalence principle (E=mc^2).
  • Basic knowledge of thermodynamic laws and principles.
  • Concepts of energy transfer and mass transfer in physics.
NEXT STEPS
  • Research the implications of E=mc^2 in non-nuclear processes.
  • Study the definitions and characteristics of closed and isolated systems in thermodynamics.
  • Explore the relationship between energy transfer and mass transfer in various physical systems.
  • Investigate how relativity impacts classical thermodynamic definitions.
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Students of thermodynamics, physicists, and anyone interested in the intersection of thermodynamic principles and relativity theory.

Hobold
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So I am reading a text written by my Thermodinamics professor and I find something that I still can't accept.

"(Sistema fechado) É aquele que não troca massa. (...) Um sistema fechado é dito isolado quando não troca energia. Entretanto, essa definição de sistema não é consistente com a teoria da relatividade, uma vez que quando energia atravessa a fronteira de um sistema, uma passa proporcional é também transferida segundo a equação de Einstein E=mc^2. (...)"

"(Closed system) does not transfer mass. (...) A closed system is said to be isolated when it doesn't transfer energy. However, this definition isn't consistent with relativity, as when energy crosses the boundary, there is a proportional mass being transferred as Einstein's E=mc^2 (...) However this amount of mass isn't anywhere close to detectable, as c^2 is sufficiently big."

I can't find this assertion to be true. I always thought Einstein's equation was only valid when releasing nucleus energy, such as through fission or fusion. I can't think how mass transference <-> energy transference would work, even if I consider mass as a parameter of the system (though it does not make sense to me).

Could anyone help me understand?
 
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Mass has energy, and energy has mass. The energy entering the system brings its mass with it.
 

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