Write a computer program to calculate the chemical potential for n noninteracting electrons per unit volume at temperature, T. (b) Calculate the value of the chemical potential for the case when electrons of effective mass m* = 0.07 x m, and carrier density n = 1.5 x 108 cm are at temperature T = 300 K (c) Repeat (b), only now for the case when electrons have effective electron mass m* = 0.50 x mo. (d) Plot the Fermi-Dirac distribution function for the situations described by (b) and (c). (e) Repeat (b), (c), and (d), only now for the case when temperature T = 77 K. Your answers should include a print out of your computer program and plots.