Problem 6.204

Calculate the electronic gas pressure in metallic sodium, at $T=0,$ in which the concentration of free electrons is $n=$ $=2.5 \cdot 10^{22} \mathrm{~cm}^{-3} .$ Use the equation for the pressure of ideal gas.

Reveal Answer

p=2 / 3 n \quad\langle T\rangle=\left(\pi \sqrt[3]{9 \pi} \hbar^{2} / 5 m\right) n^{5 / 3} \approx 5 \cdot 10^{4} \text { atm. }

Molecules and Crystals