Boltzmann constant

From Citizendium
Revision as of 15:05, 31 December 2007 by David Yamakuchi (Talk | contribs)

Jump to: navigation, search

The Boltzmann Constant is the ratio of the Gas Constant R to Avogadro's Number NA. It can be thought of as the gas constant for a single molecule (or even for an arbitrary particle in a colloidal solution) rather than for a mole[1].

The Boltzmann Constant is illustrated in the equation for the translational kinetic energy of a particle in thermal equilibrium with it's surroundings:

KEavg = 3/2 kT[2]

Where KEavg is the average Kinetic Energy of the particle, k is the Boltzmann Constant, and T is the Temperature in Kelvin.

According to NIST[3] the Boltzmann Constant has a value of 1.3806504 x 10-23 J/K with a standard uncertainty of 0.0000024 x 10-23 J/K and a relative uncertainty of 1.7 x 10-6 (this is represented by the concise form 1.380 6504(24) x 10-23 J/K

The Boltzmann Constant can also be represented in alternative units as 8.617385 x 10-5 eV/K

  1. Fundamentals of Physics, Fourth Edition by David Halliday, Robert Resnick, and Jearl Walker p582