Estimate the specific heat of the electron gas in copper at `100^(@)C`, and compare it with the lattice heat capacity.

Answer

`C_(m)^(el)=12.5J//(k"mole"*K);C_(m)^(el)//C_(m)^(lat)=5xx10^(-4)`

Explanation

The specific heat of a kilomole of electron gas is `C_(m)^(el)=RkT//2epsi_(F)`, the lattice heat is `C_(m)^(lat)=3R`. We have `C_(m)^(el)//C_(m)^(lat)=kT//6epsi_(F)`.