Plot the einstein cvnbsp13r curve against tthetaenbspon the

Question

1. Plot the Einstein C_v 13R curve against T/Θ_E on the same graph as the Debye C_v13R curve against T/Θ, and then compare the two curves.

2. Show that the partition function ZFD for particles of half integral spin, called "fermions," is given by

Z_FD (T,V,u) = Π^∞_i=0 (1 + e^{-(€₁ - u)/ kT})²,

where the Fermi energy ?_F = µ; the chemical potential.