# Boltzmann's Entropy Formula

## Description

In statistical mechanics, Boltzmann’s equation is a probability equation relating the entropy S of an ideal gas to the quantity W, which is the number of microstates corresponding to a given macrostate.

In short, the Boltzmann formula shows the relationship between entropy and the number of ways the atoms or molecules of a thermodynamic system can be arranged. In 1934, Swiss physical chemist Werner Kuhn successfully derived a thermal equation of state for rubber molecules using Boltzmann’s formula, which has since come to be known as the entropy model of rubber.

Related formulas## Variables

S | entropy of an ideal gas (J/K) |

k_{B} | Boltzmann constant |

W | quantity W, which is the number of microstates corresponding to a given macrostate (dimensionless) |