(a) What density of conduction electrons in copper is needed in order for the Maxwell-Boltzmann normalization constant to be A = 1 at T = 273 K? Use your result to argue why Maxwell-Boltzmann statistics are not valid in this case. (b) Repeat the calculation for He gas at the same temperature. (c) Repeat for a neutron star, which is composed entirely of neutrons and has a temperature of 106 K. (d) The average density of a neutron star is on the order of 1017 kg/m3. Use your answer to part (c) to discuss whether Maxwell- Boltzmann statistics are valid in this case.
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