Skip to main content

What is Boltzmann Constant?

Answer #1

Level 2 (suitable for students)
Answered by

The Boltzmann constant is a physical constant and is denoted by \( k_{\text B} \). It has the following exact value:

Value of the Boltzmann constant
Formula anchor
  • The unit of the Boltzmann constant is Joule per Kelvin:

    Unit of the Boltzmann constant
    Formula anchor
  • The value 1 of the Boltzmann constant can also be expressed in electron-volts (eV) per kelvin. To do this, we need to convert 1 joule to electron-volts. This results in the following value of \(k_{\text B}\) in electron-volts per kelvin:

    Boltzmann constant in electron volts per kelvin
    Formula anchor
  • The Boltzmann constant occurs in the equations that describe systems with many particles. So you will often encounter the Boltzmann constant in statistical physics and solid state physics.

  • The Boltzmann constant links the molar gas constant \(R_{\text m}\) with the Avogardo constant \(N_{\text A}\):

    Molar gas constant via Boltzmann constant
    Formula anchor
  • The Boltzmann constant links energy to temperature in our universe.

  • The Boltzmann constant can be determined, for example, by measuring the speed of sound in a gas.