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6 A 1-liter container at 300 K contains an ideal gas of 'He atoms at a pressure of 10 6 Pa. 1. (6 points) Estimate the number of “He atoms, N, in the container. 2. (6 points) Estimate the number of quantum volumes in the container, V/vQ, at 300 K. 3. (6 points) Estimate the temperature, Te, at which the quantum volume equals the volume per particle, i.e. at what T. does vQ = V/N?
(6 points) Assuming that Boltzmann statistics apply, estimate the partition function for the translational motions, Zr, at temperature Tc. (6 points) Estimate the Helmholtz free energy, F, of the whole system at Tc. Give your answer in eV.