Question

If electrons are treated as distinguishable particles, at what temperature would they have an average energy of 5.5 eV? ( use kB=1.3806×10−23 J/K)

Answer 1

Their thermodynamic temperature T stipulates the energy of 5.5 eV, or 5.5·1.609·10^-19 J:

$$E=\frac32 k_BT,\\\space\\ T=\frac{2E}{3k_b}=42550\text{ K}.$$

Not as hot as at the center of the Sun.