Biophysics · MU Sofia

1. Basic concepts of thermodynamics, entropy, thermodynamic potentials

Introduces thermodynamic systems and equilibrium, then the first law (energy conservation) and the second law, with entropy defined through the Boltzmann formula and its link to disorder. Moves on to the third law on perfect crystals at 0 K, and finally the four thermodynamic potentials (internal energy, enthalpy, Helmholtz and Gibbs free energy) in a summary table of their definitions and constant variables, ending with why Gibbs energy matters for living systems.

Inside: 3 sections · 1 table · 4 formulas · 16 flashcards · 5 min

Topic 1 of 30 in the MU Sofia syllabus for Biophysics (Medicine, Year 2). The free AceMed note covers it in 3 sections, about 729 words (5 min of reading), with 16 flashcards.

In this note

  1. Biothermodynamics - basics
  2. Biothermodynamics - potentials
  3. Third law of thermodynamics (you can’t get out of the game)

Biothermodynamics - basics

Biothermodynamics: basic concepts. First law of thermodynamics, internal energy. Second law of thermodynamics, entropy.

Thermodynamics: basic concepts

Thermodynamics deals with the effects of temperature and energy transformation within thermodynamic systems. Thermodynamic systems are regions of a finite volume, defined by either a real or imagined boundary. Outside of this boundary is known as the surroundings. A thermodynamic system is defined by parameters such as:

  • Volume
  • Pressure
  • Temperature
  • Internal Energy
  • Enthalpy
  • Entropy
  • Concentration

Thermodynamic systems can be:

  • Isolated systems (no exchange of energy or matter between system and external space)
  • Closed systems (exchange of energy but no exchange of matter between system and external space)
  • Open system (exchange of energy and matter between system and external space)

Isolated and closed systems are always idealised as no system is indefinitely isolated or closed.

An important term in thermodynamics is that of thermodynamic equilibrium. This is the state a thermodynamic system is in if these parameters do not change with time (must therefore be an isolated system). Thermodynamic equilibrium is the most probable state of a system to be in.

First law of thermodynamics (you can’t win)

The total energy of a system is conserved. Energy in nature is not created or destroyed, it only passes from one form to another, or between bodies. The total sum of energy is constant. This is also known as the law of energy conservation. The equation for this is:

dU is change of internal energy \deltaQ is amount of heat added to system \deltaW is work performed by system

Second Law of Thermodynamics (you can’t even break even)

The entropy of an isolated system never decreases, it only ever increases or remains constant. Additionally, all processes tend to increase in entropy over time, moving to a state of disorder. In other words, isolated systems tend towards disorder, not order.

The best illustration for this is if you consider releasing a can of gas inside a box, the gas will expand throughout the box, it will never spontaneously go back into the can.

We can define entropy as the quantity of energy within a system unavailable for work, often seen as the degree of disorder or randomness in a system.

The Boltzmann definition of entropy is:

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