At 1000 K, the fraction of the conduction electrons in a metal that have energies greater than

Question:

At 1000 K, the fraction of the conduction electrons in a metal that have energies greater than the Fermi energy is equal to the area under the curve of Figure beyond EF divided by the area under the entire curve. It is difficult to find these areas by direct integration. However, an approximation to this fraction at any temperature T is frac = 3kT/2EF. Note that frac - 0 for T = 0 K, just as we would expect. What is this fraction for copper at(a) 300 K and(b) 1000 K? For copper, EF - 7.0 eV(c) Check your answers by numerical integration using Eq.47-7.