Question

Considering only translational degrees of freedom, calculate the classical partition function for an ideal gas containing N particles.

Answer 1

The classical partition function for an ideal gas containing N particles can be calculated using the equation Z = (1/N!) x (V/λ^3)^N

Step-by-step explanation:

The classical partition function for an ideal gas containing N particles can be calculated using the equation Z = \frac{1}{N!} \left(\frac{V}{\lambda^3}\right)^N

1. Identify the knowns: N (number of particles), V (volume), and \lambda (thermal wavelength).
2. Calculate the thermal wavelength using the equation \lambda = \frac{h}{\sqrt{2\pi m k T}} where h is Planck's constant, m is the mass of a particle, k is Boltzmann's constant, and T is the temperature.
3. Substitute the values into the equation Z = \frac{1}{N!} \left(\frac{V}{\lambda^3}\right)^N and calculate the result.