Question

The partition function for an interacting gas is Z = left(frac{V - Nb}{N} ight)^N left(frac{mk_BT}{2pihbar^2} ight)^{3N/2} expleft(frac{N^2a^2}{Vk_BT} ight) where a and b are constants. a) Show that the pressure is of a similar form to the van der Waals equation for a non- ideal gas. b) Calculate the internal energy. Comment on your result in comparison with the internal energy of an ideal gas.

          The partition function for an interacting gas is
Z = left(frac{V - Nb}{N}
ight)^N left(frac{mk_BT}{2pihbar^2}
ight)^{3N/2} expleft(frac{N^2a^2}{Vk_BT}
ight)
where a and b are constants.
a) Show that the pressure is of a similar form to the van der Waals equation for a non-
ideal gas.
b) Calculate the internal energy. Comment on your result in comparison with the
internal energy of an ideal gas.

$The partition function for an interacting gas is Z = left(fracV - NbN ight)^N left(fracmkBT2pihbar^2 ight)^3N/2 expleft(fracN^2a^2VkBT ight) where a and b are constants. a) Show that the pressure is of a similar form to the van der Waals equation for a non- ideal gas. b) Calculate the internal energy. Comment on your result in comparison with the internal energy of an ideal gas.$

Added by Victoria V.

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