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Bound energy

From Bioblast


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Bound energy

Description

The bound energy change in a closed system is that part of the energy change that is always bound to an exchange of heat,

โˆ†B = โˆ†U - โˆ†A [Eq. 1]
โˆ†B = โˆ†H - โˆ†G [Eq. 2]

The free energy change (Helmoltz or Gibbs; โˆ†A or โˆ†G) is the total energy change (total inner energy or enthalpy, โˆ†U or โˆ†H) of a system minus the bound energy change.

Therefore, if a process occurs at equilibrium, when โˆ†G = 0, then โˆ†H = โˆ†B, and at โˆ†eW = 0 (โˆ†H = โˆ†eQ + โˆ†eW; see energy) we obtain the definition of the bound energy as the heat change taking place in an equilibrium process (eq),

โˆ†B = Tโˆ™โˆ†S = โˆ†eQeq [Eq. 3]

Abbreviation: B [J]

History

  • From Kubo 1976 North-Holland: "Free energy" is due to H. van Helmholtz (1882), and means that part of the internal energy that can be converted into work, as seen in the equation dF = dA for an isothermal quasi-static process. It was customary to call the remaining part, TdS, of the internal energy, dU = dF+TdS, the gebundene Energie (bound energy), but this is not so common now.
  • Recalling the term bound energy helps to resolve one of the historic battles in thermodynamics [2].

References

  1. Kubo R (1976) Thermodynamics. An advanced course with problems and solutions. North-Holland Amsterdam, New York. -
  2. Gnaiger E (1994) Negative entropy for living systems: controversy between Nobel Laureates Schrรถdinger, Pauling and Perutz. In: What is Controlling Life? (Gnaiger E, Gellerich FN, Wyss M, eds) Modern Trends in BioThermoKinetics 3. Innsbruck Univ Press: 62-70. - ยปBioblast linkยซ


MitoPedia concepts: Ergodynamics