# Thermodynamic Questions

1. Jan 29, 2009

### splitringtail

1. The problem statement, all variables and given/known data

I am trying to quantify the 2nd Virial Coefficient depending on the temperature w/o using statistical mechanics b/c we haven't covered it yet.

2. Relevant equations

$$p=p_{ideal} [1+B_{2}(T) \frac{N}{V}]$$

$$p_{ideal}= \frac{N k_{b} T}{V}$$

3. The attempt at a solution

Now other than just considering the mutual pair interaction from a Lennard-Jones like potential.

I have noticed that

$$B_{2}(T) \frac{N}{V}$$

is dimensionless quantity, since $$p_{ideal}$$ is already in units of pressure.

Yet, I don't know if is there a physical a meaning of the coefficient from the implied units of [volume/number of particles]. I have looked in a few of my books. I found nothing spelled out.

Any suggestions? Do I just have to consider this interaction to make my analysis of $$B_{2}(T)$$

Last edited: Jan 29, 2009