3.2 When the number of particles changes in a thermodynamic transformation, it is important to use the correct form of entropy for an ideal gas, as given by the Sacker-Tetrode equation (2.49). (a) Use the Sacker-Tetrode equation to calculate A(V, T) and G(P, T) for an ideal gas. Show, in particular, that A(V,T) = NkT[In(n)) 1], where it is the density, and =2h/mkT is the thermal wavelength. (b) Obtain the chemical potential for an ideal gas from (2A/3N) v.7 and (G/N)P.T. Show that you get the same answer =kT]n(n).