Question

What are the merits of quantum free electron theory?

Answer 1

According to classical theory, which follows Maxwell-  Boltzmann  statistics, all the free electrons gain energy. So it leads to much larger predicted quantities than that is actually observed. But according to quantum mechanics only one percent of the free electrons can absorb energy. So the resulting specific heat and paramagnetic susceptibility values are in much better agreement with experimental values.

According to quantum free electron theory, both experimental and theoretical values of Lorentz number are in good agreement with each other.