kB/particle\text{kB/particle}

Boltzmann constant per particle

Molar entropyexact by definition

One Boltzmann constant per particle is exactly 8.31446261815324 J/(mol·K), which is the gas constant, because R is k_B times N_A and both are exact since 2019. Statistical mechanics counts entropy in multiples of k_B per particle, so an entropy of "2 k_B per molecule" is 16.6 J/(mol·K).

Watch out: Information-theoretic work often sets k_B = 1 and reports entropy as a pure number of nats or bits. One bit per particle is k_B ln 2, which is 5.76 J/(mol·K), not 8.314.

1 kB/particle\text{kB/particle} 8.3144626 J/(mol⋅K)\text{J/(mol}{\cdot}\text{K)}

One boltzmann constant per particle in every molar entropy unit

8.31446joule per mole kelvin (J/(mol·K))
8.31446joule per mole Celsius (J/(mol·°C))
8.31446kilojoule per kilomole kelvin (kJ/(kmol·K))
1.9872calorie per mole kelvin (cal/(mol·K))
1.9872entropy unit (e.u.)
1.98588BTU per pound-mole Rankine (BTU/(lb-mol·°R))
1Boltzmann constant per particle (kB/particle)this unit
0.00831446kilojoule per mole kelvin (kJ/(mol·K))
Solvers that use molar entropy