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Canonical Partition Function Q(N, V, T)

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November 7th, 2022

An approximate canonical partition function for a dense gas is:

Q(N, V, T) = 1/N! [2(pi)(mk_nT / h^2]^3N/2 (V – Nb)^Nexp[(alphaN^2/Vk_BT)].

Where m is the mass of the particles and a and b are molecular parameters (which are independent of temperature). Calculate the energy, entropy, pressure, and chemical potential for this system. To what well known thermodynamic approximate equation of state does your answer correspond?

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