Statistical Mechanics · Problem 3.13

The Grand Canonical Ensemble — R. K. Pathria

Physics — Statistical Mechanics · ideal-gas-mixture-partition-function

Problem

(a) Evaluate the partition function and the major thermodynamic properties of an ideal gas consisting of N1N_1 molecules of mass m1m_1 and N2N_2 molecules of mass m2m_2, confined to a space of volume VV at temperature TT. Assume that the molecules of a given kind are mutually indistinguishable, while those of one kind are distinguishable from those of the other kind. (b) Compare your results with the ones pertaining to an ideal gas consisting of (N1+N2)(N_1 + N_2) molecules, all of one kind, of mass mm, such that m(N1+N2)=m1N1+m2N2m(N_1 + N_2) = m_1 N_1 + m_2 N_2.

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