Register to reply

Boltzmann distribution - Derive equation of state of a gas from Helmholtz free energy

Share this thread:
Mar15-11, 12:04 AM
P: 1
1. The problem statement, all variables and given/known data

Show that the equation of state of an ideal gas with N molecules in a container of volume V at temperature T is P=NkT. Use the result derived earlier.

The result is A=-NkTlnZ, where Z is the partition function and A is the Helmholtz free energy.

2. Relevant equations

3. The attempt at a solution



Here, I'm stuck. Surely, ([tex]\delta[/tex]lnZ)/([tex]\delta[/tex]V)T=0?

It seems so trivial. I don't understand what I'm missing. Thank you in advance.
Phys.Org News Partner Science news on
'Smart material' chin strap harvests energy from chewing
King Richard III died painfully on battlefield
Capturing ancient Maya sites from both a rat's and a 'bat's eye view'

Register to reply

Related Discussions
Derive Stefan-Boltzmann Law from Planck Distribution for blackbody radiation Advanced Physics Homework 2
Helmholtz free energy Advanced Physics Homework 10
Boltzmann distribution vs. Distribution of energy General Physics 4
Helmholtz Free Energy Advanced Physics Homework 0
Helmholtz free energy Classical Physics 3