Question

calculate the partition function for a monotonic ideal gas​

Answer 1

Answer:Let us now practice calculating thermodynamic relations using the partition function by considering an example with which we are already quite familiar: i.e., an ideal monatomic gas. Consider a gas consisting of $N$ identical monatomic molecules of mass $m$ enclosed in a container of volume $V$. Let us denote the position and momentum vectors of the $i$th molecule by ${\bf r}_i$ and ${\bf p}_i$, respectively. Since the gas is ideal, there are no interatomic forces, and the total energy is simply the sum of the individual kinetic energies of the molecule

Explanation:

Answer 2

The partition function is the sum of the Boltzmann factor over all possible states, where is the energy of state . Classically, we can approximate the summation over cells in phase-space as an integration over all phase-space. Thus, (428)

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