# Boltzmann constant

The Boltzmann constant (k) is a physical constant that relates the average kinetic energy of particles in a gas with the temperature of the gas. It is named after the Austrian physicist Ludwig Boltzmann, who made important contributions to the field of statistical mechanics.

The Boltzmann constant has the value of approximately 1.380649 x 10^-23 joules per kelvin (J/K) in the International System of Units (SI). It is a fundamental constant in physics and is used in many areas of science and engineering, including thermodynamics, statistical mechanics, and the study of materials.

The Boltzmann constant is related to the gas constant (R) by the equation k = R/N_A, where N_A is Avogadro’s number. This relationship allows the Boltzmann constant to be used in the ideal gas law, which relates the pressure, volume, temperature, and number of particles in a gas.

The Boltzmann constant is also used in the Boltzmann distribution, which describes the distribution of particle energies in a gas at a given temperature. It plays a fundamental role in the study of the behavior of particles in gases, liquids, and solids, and is a key parameter in the calculation of many physical, School Analytics, and chemical properties of materials.