a.A simple system has two states with energies 2E and 4E. What is the canonical partition...

a.A simple system has two states with energies 2E and 4E. What is the canonical partition function of the system at temperature T, if E = kT? (Hint: the canonical partition function applies when the chemical potential, μ = 0.)

b.Consider a gas containing 4.0 × 10⁴ rubidium atoms, each of mass 1.5 × 10^-25 kg, confined to a volume of 2.5 × 10^-14 m3. To what temperature must it be cooled for the effects of indistinguishability to be ignored for this gas?

c.In an X-ray diffraction experiment, X-rays with wavelength 0.250 nm are scattered from a substance. At what angle will the n = 3 reflection be observed, if the spacing between the scattering planes is 0.650 nm?

d.Aluminium has a valency of 3, a density of 2.7 × 10³ kg m−3 and a relative atomic mass of 27. What is the number density of free electrons in aluminium?

e.Silver has an electron number density of 5.9 × 10²⁸ m^-3. According to Drude’s theory what is the drift speed of the electrons in a silver wire of diameter 0.25 mm when a current of 5.0 A flows in it?

f.Copper has a Fermi energy of 7.02 eV. What is its electron number density?

g.Silver has an electron number density of 5.9 × 10²⁸ m−3. If a sample of silver is at a temperature such that kT is 1% of its Fermi energy, what is its temperature?

Expert Solution

genius_generous answered 2 years ago

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