The Boltzmann constant plays the main role in static mechanics

Ludwig Boltzmann is the creator of the molecular-kinetic theory of ideal gases. He was born in 1844 in Vienna. Boltzmann is a pioneer and a pioneer in science. His work and research were often incomprehensible and rejected by society. However, with the further development of physics, his writings were recognized and subsequently published.

Scientific interests of the scientist covered such fundamental areas as physics and mathematics. Since 1867, he worked as a teacher in a number of higher educational institutions. In his studies, he established that the gas pressure is due to chaotic impacts of molecules on the wall of the vessel in which they are located, while the temperature directly depends on the velocity of the particles (molecules), in other words, on their kinetic energy. Consequently, the higher these particles move, the higher the temperature. The Boltzmann constant is named after the famous Austrian scientist. It was he who made an invaluable contribution to the development of static physics.

The physical meaning of a given constant quantity

The Boltzmann constant determines the relationship between physical quantities such as temperature and energy. In static mechanics, it plays the main key role. The Boltzmann constant is k = 1.3806505 (24) * 10 ^-23 J / K. The numbers in parentheses indicate the permissible error of the value relative to the last digits. It should be noted that the Boltzmann constant can also be obtained from other physical constants. However, these calculations are rather complicated and difficult to perform. They require deep knowledge not only in physics, but also in higher mathematics.

The relationship between absolute temperature and energy

The Stefan-Boltzmann constant allows us to relate the characteristics of the micro- and macrocosm, namely the ratio of the velocity of the molecules to the temperature. The formula describing this relation looks like this: 3 / 2mv ² = kT.

In a homogeneous gas in a vessel at a certain temperature T, the energy that falls on each of the degrees of freedom is equal to the ratio kT / 2. Knowing the temperature in which the molecules are located and their mass, you can easily calculate the rms velocity. However, this formula is not suitable for diatomic gases.

The Ludwig Boltzmann relation (entropy is the probability)

The entropy of a thermodynamic system can be defined as the logarithm of the thermodynamic probability. This relationship can be called the main achievement and discovery of the great Austrian physicist, which he did at the end of his life path. During the life of the scientist, it was never recognized in the scientific community, but four years after his death, this discovery was officially recognized.

A few words in conclusion

Boltzmann's constant not only constitutes the core of static physics and molecular-kinetic theory, but also had some influence on the further development of physical theories. This applies, for example, to a section such as quantum mechanics.