Derive the single partition function of an ideal monoatomic gas and obtain the
expressions for entropy and pressure.
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Let us now use the partition function to calculate thermodynamic relationships by considering an example that we are already familiar with: that is, an ideal monatomic gas.
Consider a gas that consists of N identical monatomic m mass molecules contained in a V volume container. Let's donate the position and momentum vectors of the i molecule.
Since the gas is ideal, interatomic forces do not exist, and the total energy is simply the sum of the molecules ' individual kinetic energies:
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