Boltzmann Constant

#Physics

$$

\begin{align}
k_{B}&=\frac{PV}{NT}\mathrm{ \frac{J}{K}} \\&=1.380649\mathrm{\cdot 10^{-23} \frac{J}{K}} \\&=8.617333262\cdot10^{-5}\mathrm{\frac{eV}{K}}
\end{align}
$$

• Analogous to $\displaystyle R=\frac{PV}{nT}$, where $\displaystyle n$ is the number of moles of the ideal gas
• $\displaystyle P$ is the pressure of the container of the gas
• $\displaystyle V$ is the volume of the gas
• $\displaystyle N$ is the number of particles of the gas
• $\displaystyle T$ is the temperature of the gas
• The numerical constant is exact!